PUBLICATIONS OF JINDRICH NECAS

Monographs     Textbooks     A chapter in a book     Scientific papers     Proceedings     Editorial work     Other


     

    Monographs    previous    next

  1. J. Necas: Les methodes directes en theorie des equations elliptiques. Academia, Praha, and Masson et Cie, Editeurs, Paris, 1967.

    English translation: Direct Methods in the Theory of Elliptic Equations. Springer, 2012.

  2. S. Fucik, J. Necas, J. Soucek, and V. Soucek: Spectral analysis of nonlinear operators. Lecture Notes in Mathematics, Vol. 346, Springer-Verlag, Berlin, 1973.
  3. S. Fucik, J. Necas, and V. Soucek: Einfuhrung in die Variationsrechnung. (In German), Teubner-Texte zur Mathematik. B. G. Teubner Verlagsgesellschaft, Leipzig, 1977.
  4. J. Necas and I. Hlavacek: Mathematical theory of elastic and elasto-plastic bodies: an introduction, volume 3 of Studies in Applied Mechanics. Elsevier Scientific Publishing Co., Amsterdam, 1981.
  5. I. Hlavacek, J. Haslinger, J. Necas, and J. Lovisek: Riesenie variacnych nerovnost v mechanike (in Slovak). Alfa - Vydavatelstvo Technickej a Ekonomickej Literatury, Bratislava, 1982.
  6. J. Necas: Introduction to the theory of nonlinear elliptic equations. Volume 52 of Teubner-Texte zur Mathematik. BSB B. G. Teubner Verlagsgesellschaft, Leipzig, 1983. With German, French and Russian summaries.
  7. I. Hlavacek, J. Haslinger, J. Necas, and J. Lovisek: Reshenie variatsionnykh neravenstv v mekhanike. (in Russian) ``Mir'', Moscow, 1986. Translated from the Slovak by Yu. A. Kuznetsov and A. V. Lapin, Translation edited and with a preface by N. S. Bakhvalov.
  8. J. Necas: Introduction to the theory of nonlinear elliptic equations. A Wiley-Interscience Publication. John Wiley and Sons Ltd., Chichester, 1986. (Reprint of the 1983 edition.)
  9. I. Hlavacek, J. Haslinger, J. Necas, and J. Lovisek: Solution of variational inequalities in mechanics, volume 66 of Applied Mathematical Sciences. Springer-Verlag, New York, 1988. Translated from the Slovak by J. Jarnik.
  10. J. Necas: Ecoulements de fluide: compacite par entropie, volume 10 of RMA: Research Notes in Applied Mathematics. Masson, Paris, 1989.
  11. J. Malek, J. Necas, M. Rokyta, and M. Ruzicka. Weak and measure-valued solutions to evolutionary PDEs, volume 13 of Applied Mathematics and Mathematical Computation. Chapman and Hall, London, 1996.
  12. J. Haslinger, I. Hlavacek, and J. Necas: Numerical methods for unilateral problems in solid mechanics. Handbook of numerical analysis, Vol. IV, Handb. Numer. Anal., IV, pages 313-485. North-Holland, Amsterdam, 1996.
  13.  
     

     

    Textbooks    previous    next

  14. J. Necas: Variational Methods for Solutions of Linear Elliptic Equations. (In Czech.) UTAM CSAV, 1960.
  15. J. Necas: Regularite des solutions faibles d'equations elliptiques non-lineaires; applications a l'elasticite. Universite Pierre et Marie Curie, Laboratoire d'analyse numerique, No. 81046, 1960.
  16. J. Necas and A. Kufner: Functional Analytic Methods of Solutions to Elliptic Partial Differential Equations. (In Czech.) MU CSAV, 1963.
  17. J. Necas: Integral transforms (Operational calculus). Survey of applicable mathematics. Iliffe books LTD, London, 1969, pp. 1125-1136.
  18. J. Necas, S. Fucik, and V. Soucek: Introduction to the Calculus of Variations. (In Czech.) SPN, Praha, 1972.
  19. J. Necas and O. John: Partial Differential Equations of Mathematical Physics. (In Czech.) SPN, Praha, 1972.
  20. J. Necas: Introduction to the Mathematical Theory of Elastic and Elasto-Plastic Bodies. (In Czech.) SPN, Praha, 1976.
  21. J. Necas On the Regularity of Weak Solutions to Nonlinear Elliptic Systems of Partial Differential Equations. Scuola Normale Superiore Pisa, 1979.
  22.  
     

     

    A chapter in the book    previous    next

  23. K. Rektorys: Survey of applicable mathematics. Vol. II. With contributions by J. Fuka, F. Nozicka, M. Prager, E. Vitasek, J. Necas, J. Segethova, K. Segeth, M. Fiedler, and T. Cipra. Translated from the Czech. Second edition. Mathematics and its Applications, 281. Kluwer Academic Publishers Group, Dordrecht, 1994.
  24. A survey of applied mathematics. With the collaboration of K. Drabek, M. Fiedler, O. Fischer, J. Fuka, J. Hajek, F. Kejla, B. Kepr, K. Korvasova, J. Necas, F. Nozicka, V. Pleskot, O. Pokorna, M. Prager, O. Vejvoda, V. Vilhelm, E. Vitasek, and M. Zelenka. SNTL, Prague 1963.
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    Scientific papers    previous    next

    1956

  26. J. Necas: Influence of outside temperature on the strain of dams and other concrete masses. (In Czech). Appl. Mat. 1, 103-118 (1956).
  27. J. Necas: Influence of outside temperature on the strain of dams and other concrete masses (second part). (In Czech). Appl. Mat. 1, 186-199 (1956).
  28. D. Mayer and J. Necas: Das Addieren unendlicher Reihen unter Benutzung von Integraltransformationen. Appl. Mat. 1, 165-185 (1956).
  29. 1958

  30. J. Necas: Solution du probleme biharmonique pour le coin infini, I. Casopis Pest. Mat. 83 257-286 (1958).
  31. J. Necas: Solution du probleme biharmonique pour le coin infini, II. Casopis Pest. Mat. 83 399-424 (1958).
  32. J. Necas: Une note sur la propriete caracteristique de la transformee de Laplace d'une fonction et sur certains espace de Hilbert $\bar H_{kl}$ dont la somme $\sum_{k,l=0}^{\infty}\bar H_{kl}$ est l'ensemble des transformees de Laplace de distributions. (In Czech). Casopis Pest. Mat. 83, 160-170 (1958).
  33. 1959

  34. J. Necas: Solution du probleme biharmonique pour le coin infini pas convex. (In Czech). Casopis Pest. Mat. 84, 90-98 (1959).
  35. J. Necas: L'extension de l'espace des conditions aux limites du probleme biharmonique pour les domaines a points anguleux. Czechoslovak Math. J. 9 (84), 339-371 (1959).
  36. J. Necas: Resolution du probleme de Dirichlet pour les equations elliptiques aux derivees partielles du second ordre. Czechoslovak Math. J. 9 (84), 467-469 (1959).
  37. 1960

  38. J. Necas: Uber Grenzwerte von Funktionen, welche ein endliches Dirichlet'sches Integral haben. Apl. Mat. 5, 202-209 (1960).
  39. J. Necas: Sur les solutions des equations elliptiques aux derivees partielles du du second ordre avec integrale de Dirichlet non-bornee. (In Russian). Czechoslovak Math. J. 10 (85), 283-289 (1960).
  40. 1961

  41. J. Necas: Sur une methode pour resoudre les equations aux derivees partielles du type elliptique, voisine de la variationnelle. Czechoslovak Math. J. 11, 662-683 (1961).
  42. J. Necas: Sur le probleme de Dirichlet pour l'equation aux derivees partielles du quatrieme ordre du type elliptique. Rend. Sem. Mat. Univ. Padova 31, 198-231 (1961).
  43. 1962

  44. J. Necas: On the regularity of solutions of second-order elliptic partial differential equations with an unbounded Dirichlet integral. Arch. Rational Mech. Anal. 9, 134-144 (1962).
  45. J. Necas: On domains of type $\germ N$. (In Russian). Czechoslovak Math. J. 12 (87), 274-287 (1962).
  46. J. Necas: Application de l'egalite de Rellich aux problemes aux limites. Sem. Eq. Der. Art., College de France , 143-167 (1962).
  47. J. Necas: Sur l'existence de la solution classique du probleme de Poisson pour les domaines plans. Ann. Scuola Norm. Sup. Pisa (3) 16, 285-296 (1962).
  48. J. Necas: Sur une methode pour resoudre les equations aux derivees partielles du type elliptique, voisine de la variationnelle. Ann. Scuola Norm. Sup. Pisa (3) 16, 305-326 (1962).
  49. J. Dvorak and J. Necas: Determination of stresses in a rectangular wedge by superposition of stressed states of halfplanes. (In Russain). Rev. Math. Pures Appl. (Bucarest) 7, 467-480 (1962).
  50. 1964

  51. J. Necas: Sur la coercivite des formes sesquilineaires, elliptiques. Rev. Roumaine Math. Pures Appl., 9, 47-69 (1964).
  52. J. Necas: Sur les equations differentielles aux derivees partielles du type elliptique du deuxieme ordre. Czechoslovak Math. J., 14 (89), 125-146 (1964).

    1965

  53. J. Necas: L'application de l'egalite de Rellich sur les systemes elliptiques du deuxieme ordre. J. Math. Pures Appl. (9) 44, 133-147 (1965).
  54. 1966

  55. J. Necas: Sur une methode generale pour la solution des problemes aux limites non-lineaires. Ann. Scuola Norm. Sup. Pisa (3) 20, 655-674 (1966).
  56. J. Necas: Sur la methode variationnelle pour les equations aux derivees partielles non lineaires du type elliptique; l'existence et la regularite des solutions. Comment. Math. Univ. Carolin., 7, 301-317 (1966).
  57. J. Necas: Sur les normes equivalentes dans $W^k_p$ et sur la coercivite des formellement positives. Sem. math. sup. Universite Montreal, 102-128 (1966).
  58. J. Necas and Z. Poracka: On extrema of functionals. Comment. Math. Univ. Carolin., 7, 509-520 (1966).
  59. 1967

  60. J. Necas: Sur la regularite des solutions variationelles des equations elliptiques non-lineaires d'ordre $2k$ en deux dimensions. Ann. Scuola Norm. Sup. Pisa (3) 21, 427-457 (1967).
  61. J. Necas: Sur l'existence de la solution reguliere pour le probleme de Dirichlet de l'equation elliptique non lineaire d'ordre $2k$. Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. (8) 42, 347-354 (1967).
  62. J. Necas: Sur l'appartenance dans la classe $C\sp(k),\mu $ des solutions variationnelles des equations elliptiques non-lineaires de l'ordre $2k$ en deux dimensions. Comment. Math. Univ. Carolin., 8, 209-217 (1967).
  63. J. Necas: On the existence and regularity of solutions of nonlinear elliptic equations. Acta Facult. Rer. Nat. Univ. Comeniane Math. 17, 101-119 (1967).
  64. J. Necas: Sur la regularite des solutions faibles des equations elliptiques nonlineaires. College de France, Paris, pp. 20-57, (1967-1968).
  65. J. Kadlec and J. Necas: Sulla regolarita delle soluzioni di equazioni ellittiche negli spazi $H^{k,lambda}$. Ann. Scuola Norm. Sup. Pisa (3) 21, 527-545 (1967).
  66. 1968

  67. J. Necas: Sur la regularite des solutions faibles des equations elliptiques non lineaires. Comment. Math. Univ. Carolin., 9, 365-413 (1968).
  68. J. Necas: Convergence of a method for solving the magnetostatic field in non-linear media. Applications of Math., 13, 456-465 (1968).
  69. 1969

  70. J. Necas: Les equations elliptiques non-lineaires. Czechoslovak Math. J., 19 (94), 252-274 (1969).
  71. J. Necas: Sur l'alternative de Fredholm pour les operateurs non-lineaires avec applications aux problemes aux limites. Ann. Scuola Norm. Sup. Pisa (3) 23, 331-345 (1969).
  72. 1970

  73. J. Necas, Z. Poracka, and R. Kodnar: Remarks on a nonlinear theory of thin elastic plates. Mat. Casopis Sloven. Akad. Vied 20, 62-71 (1970).
  74. I. Hlavacek and J. Necas: On inequalities of Korn's type. I. Boundary-value problems for elliptic system of partial differential equations. Arch. Rational Mech. Anal. 36, 305-311 (1970).
  75. I. Hlavacek and J. Necas: On inequalities of Korn's type. II. Applications to linear elasticity. Arch. Rational Mech. Anal. 36, 312-334 (1970).
  76. 1971

  77. J. Necas: The discreteness of the spectrum of a nonlinear Sturm-Liouville equation. Dokl. Akad. Nauk SSSR 201, 1045-1048 (1971).
  78. J. Necas: On the demiregularity of weak solutions of nonlinear elliptic equations. Bull. Amer. Math. Soc. 77, 151-156 (1971).
  79. A. Kratochvil and J. Necas: The discreteness of the spectrum of a nonlinear Sturm-Liouville equation of fourth order. (In Russian.) Comment. Math. Univ. Carolin. 12, 639-653 (1971).
  80. 1972

  81. J. Necas: Fredholm alternative for nonlinear operators and applications to partial differential equations and integral equations. Casopis Pest. Mat., 97, 65-71 (1972).
  82. J. Necas: Remark on the Fredholm alternative for nonlinear operators with application to nonlinear integral equations of generalized Hammerstein type. Comment. Math. Univ. Carolin. 13, 109-120 (1972).
  83. J. Necas and J. Stara: Principio di massimo per i sistemi ellittici quasi-lineari non diagonali. Boll. Un. Mat. Ital. (4) 6, 1-10 (1972).
  84. S. Fucik and J. Necas: Ljusternik-Schnirelmann theorem and nonlinear eigenvalue problems. Math. Nachr. 53, 277-289 (1972).
  85. S. Fucik, O. John, and J. Necas: On the existence of Schauder bases in Sobolev spaces. Comment. Math. Univ. Carolin. 13, 163-175 (1972).
  86. S. Fucik, J. Necas, J. Soucek, and V. Soucek: Upper bound for the number of eigenvalues for nonlinear operators. Comment. Math. Univ. Carolin. 13, 191-195 (1972).
  87. S. Fucik, J. Necas, J. Soucek, and V. Soucek: Strengthening upper bound for the number of critical levels of nonlinear functionals. Comment. Math. Univ. Carolin. 13, 297-310 (1972).
  88. S. Fucik, J. Necas, J. Soucek, and V. Soucek: New infinite dimensional versions of Morse-Sard theorem. Boll. Un. Mat. Ital. (4) 6, 317-322 (1972).
  89. S. Fucik, J. Necas, J. Soucek, and V. Soucek: Upper bound for the number of critical levels for nonlinear operators in Banach spaces of the type of second order nonlinear partial differential operators. J. Functional Analysis 11, 314-333 (1972).
  90. 1973

  91. J. Necas: On the formulation of the traction problem for the flow theory of plasticity. Appl. Mat. 18, 119-127 (1973).
  92. J. Necas: On the range of nonlinear operators with linear asymptotes which are not invertible. Comment. Math. Univ. Carolin. 14, 63-72 (1973).
  93. J. Necas: Variational methods in nonlinear elasticity. (In Czech.) Acta Polytechnica, 129-133 (1973).
  94. J. Necas and J. Kratochvil: On the existence of solutions of boundary-value problems for elastic-inelastic solids. Comment. Math. Univ. Carolin. 14, 755-760 (1973).
  95. S. Fucik, J. Necas, J. Soucek, and V. Soucek: Note to nonlinear spectral theory: application to the nonlinear integral equations of the Lichtenstein type. Math. Nachr. 58, 257-267 (1973).
  96. S. Fucik, J. Necas, J. Soucek, and V. Soucek: Upper bound for the number of eigenvalues for nonlinear operators. Ann. Scuola Norm. Sup. Pisa (3) 27, 53-71 (1973).
  97. S. Fucik, A. Kratochvil, and J. Necas: Kacanov-Galerkin method. Comment. Math. Univ. Carolin. 14, 651-659 (1973).
  98. 1974

  99. J. Necas: Application of Rothe's method to abstract parabolic equations. Czechoslovak Math. J. 24 (99), 496-500 (1974).
  100. J. Necas and J. Naumann: On a boundary value problem in nonlinear theory of thin elastic plates. Appl. Mat. 19, 7-16 (1974).
  101. S. Fucik, M. Kucera, J. Necas, J. Soucek, and V. Soucek: Morse-Sard theorem in infinite dimensional Banach spaces and investigation of the set of all critical levels. Casopis Pest. Mat. 99, 217-243 (1974).
  102. S. Fucik, J. Necas, J. Soucek, and V. Soucek: Krasnoselskii's main bifurcation theorem. Arch. Rat. Mech. Anal. 54, 328-339 (1974).
  103. 1975

  104. J. Necas: An approximate method for finding the critical points of even functionals. Trudy Mat. Inst. Steklov. 134, 235-239 (1975).
  105. J. Necas: On regularity of solutions to nonlinear variational inequalities for second-order elliptic systems. Rend. Mat. 8 (2), 481-498 (1975).
  106. S. Fucik, A. Kratochvil, and J. Necas: Kacanov's method and its application. Rev. Roumaine Math. Pures Appl. 20 (8), 907-916 (1975).
  107. S. Fucik, M. Kucera, and J. Necas: Ranges of nonlinear asymptotically linear operators. J. Differ. Eq., 17, 375-394 (1975).
  108. O. John and J. Necas: On the solvability of von Karman equations. Appl. Mat. 20, 48-62 (1975).
  109. M. Muller and J. Necas: Uber die Regularitat der schwachen Losungen von Randwertaufgaben fur quasilineare elliptische Differentialgleichungen hoherer Ordnung. Czechoslovak Math. J. 25 (100), 227-239 (1975).
  110. 1976

  111. J. Necas: Theory of locally monotone operators modelled on the finite displacement theory for hyperelasticity. Beitrage Anal. 8, 103-114 (1976).
  112. J. Necas and M. Stipl: A paradox in the theory of linear elasticity. Appl. Mat., 21 (6), 431-433 (1976).
  113. A. Doktor, J. Necas, and R. Svarc: A remark on applications of the Laplace transform to abstract differential equations of parabolic type. Casopis Pest. Mat. 101 (1), 7-19 (1976).
  114. 1977

  115. M. Kucera and J. Necas: Interior regularity of solutions to systems of variational inequalities. Cas. Pest. Mat., 102 (1), 73-82 (1977).
  116. J. Jarusek and J. Necas: Sur les domaines des valeurs des operateurs non-lineaires. Cas. Pest. Mat., 102 (1), 61-72 (1977).
  117. 1978

  118. J. Necas, J. Stara, and R. Svarc: Classical solution to a second order nonlinear elliptic system in $R^3$. Ann. Scuola Norm. Sup. Pisa Cl. Sci. 5 (4), 605-631 (1978).
  119. M. Kucera, J. Necas, and J. Soucek: The eigenvalue problem for variational inequalities and a new version of the Ljusternik-Schnirelmann theory. Nonlin. Anal., Academic Press, pp. 125-143, 1978.
  120. 1979

  121. M. Giaquinta and J. Necas: On the regularity of weak solutions to nonlinear elliptic systems via Liouville's type property. Comment. Math. Univ. Carolin., 20 (1), 111-121 (1979).
  122. K. Groger and J. Necas: On a class of nonlinear initial value problems in Hilbert spaces. Math. Nachr., 93, 21-31 (1979).
  123. K. Groger, J. Necas, and L. Travnicek: Dynamic deformation processes of elastic-plastic systems. Z. Angew. Math. Mech., 59 (10), 567-572 (1979).
  124. A. Kratochvil and J. Necas: Secant modulus method for the construction of a solution of nonlinear eigenvalue problems. Boll. Un. Mat. Ital. B 16 (2), 694-710 (1979).
  125. 1980

  126. J. Necas: Variational inequalities in elasticity and plasticity with application to Signorini's problems and to flow theory of plasticity. Z. Angew. Math. Mech. 60 (6), 20-26 (1980).
  127. J. Necas, J. Jarusek, and J. Haslinger: On the solution of the variational inequality to the Signorini problem with small friction. Boll. Un. Mat. Ital. B 17 (2), 796-811 (1980).
  128. J. Necas, O. John, and J. Stara: Counterexample to the regularity of weak solution of elliptic systems. Comment. Math. Univ. Carolin. 21 (1), 145-154 (1980).
  129. I. Necas and O. A. Oleinik: Liouville theorems for elliptic systems. (In Russian.) Dokl. Akad. Nauk SSSR 252 (6), 1312-1316 (1980).
  130. J. Necas and L. Travnicek: Evolutionary variational inequalities and applications in plasticity. Appl. Mat., 25 (4), 241-256 (1980).
  131. M. Giaquinta and J. Necas: On the regularity of weak solutions to nonlinear elliptic systems of partial differential equations. J. Reine Angew. Math. 316, 140-159 (1980).
  132. A. Kratochvil and J. Necas: Gradient methods for the construction of Ljusternik-Schnirelmann critical values. RAIRO Anal. Numer. 14 (1), 43-54 (1980).
  133. 1981

  134. J. Necas: Elliptic differental equations. Math. Kongress DDR 1981, Math. Gesselschaft DDR, Leipzig, 1981.
  135. 1982

  136. I. Hlavacek and J. Necas: Optimization of the domain in elliptic unilateral boundary value problems by finite element method. RAIRO Anal. Numer. 16 (4), 351-373 (1982).
  137. P.-L. Lions, J. Necas, and I. Netuka: A Liouville theorem for nonlinear elliptic systems with isotropic nonlinearities. Comment. Math. Univ. Carolin. 23 (4), 645-655 (1982).
  138. M. Giaquinta, J. Necas, O. John, and J. Stara: On the regularity up to the boundary for second order nonlinear elliptic systems. Pacific J. Math. 99 (1), 1-17 (1982).
  139. 1983

  140. J. Necas and I. Hlavacek: Solution of Signorini's contact problem in the deformation theory of plasticity by secant modules method. Appl. Mat. 28 (3), 199-214 (1983).
  141. 1984

  142. M. Feistauer, J. Mandel, and J. Necas: Entropy regularization of the transonic potential flow problem. Comment. Math. Univ. Carolin. 25 (3), 431-443 (1984).
  143. Ph. G. Ciarlet and J. Necas: Problemes unilateraux en elasticite non lineaire tridimensionnelle. C. R. Acad. Sci. Paris Ser. I Math 298 (8), 189-192 (1984).
  144. 1985

  145. Ph. G. Ciarlet and J. Necas: Unilateral problems in nonlinear, three-dimensional elasticity. Arch. Rational Mech. Anal. 87 (4), 319-338 (1985).
  146. Ph. G. Ciarlet and J. Necas: Injectivite presque partout, auto-contact, et non-interpenetrabilite en elasticite non-lineaire tridimensionnelle. C. R. Acad. Sci. Paris Ser. I Math. 301 (11), 621-624 (1985).
  147. M. Feistauer and J. Necas: On the solvability of transonic potential flow problems. Z. Anal. Anwendungen, 4 (4), 305-329 (1985).
  148. 1986

  149. M. Feistauer and J. Necas: On the solution of transonic flows with weak shocks. Comment. Math. Univ. Carolin. 27 (4), 791-804 (1986).
  150. 1987

  151. J. Necas, A. Lehtonen, and P. Neittaanmaki: On the construction of Lusternik-Schnirelmann critical values with application to bifurcation problems. Appl. Anal. 25 (4), 253-268 (1987).
  152. J. Mandel and J. Necas: Convergence of finite elements for transonic potential flows. SIAM J. Numer. Anal. 24 (5), 985-996 (1987).
  153. Ph. G. Ciarlet and J. Necas: Injectivity and self-contact in nonlinear elasticity. Arch. Rational Mech. Anal. 97 (3), 171-188 (1987).
  154. 1988

  155. O. John, V. A. Kondratev, D. M. Lekveishvili, J. Necas, and O. A. Oleinik: Solvability of the system of von Karman equations with nonhomogeneous boundary conditions in nonsmooth domains. (In Russian.) Trudy Sem. Petrovsk. 258, 197-205 (1988).
  156. M. Feistauer and J. Necas: Remarks on the solvability of transonic flow problems. Manuscripta Math. 61 (4), 417-428 (1988).
  157. M. Feistauer and J. Necas: Viscosity method in a transonic flow. Comm. Partial Differential Equations 13 (7), 775-812 (1988).
  158. A. Friedman and J. Necas: Systems of nonlinear wave equations with nonlinear viscosity. Pacific J. Math. 135 (1), 29-55 (1988).
  159. 1989

  160. J. Necas, A. Novotny, and M. Silhavy: Global solution to the ideal compressible heat conductive multipolar fluid. Comment. Math. Univ. Carolin. 30 (3), 551-564 (1989).
  161. M. Feistauer, J. Necas, and V. Sverak: On the weak compactness of solutions to the equations of compressible flow. Appl. Anal. 34, 35-52 (1989).
  162. 1990

  163. J. Necas, A. Novotny, and V. Sverak: Uniqueness of solutions to the systems for thermoelastic bodies with strong viscosity. Math. Nachr. 149, 319-324 (1990).
  164. J. Necas and P. Kloucek: The solution of transonic flow problems by the method of stabilization. Appl. Anal. 37, 143-167 (1990).
  165. J. Necas and T. Roubicek: Approximation of a nonlinear thermoelastic problem with a moving boundary via a fixed-domain method. Apl. Mat. 35, 361-372 (1990).
  166. J. Milota, J. Necas, and V. Sverak: On weak solutions to a viscoelasticity model. Comment. Math. Univ. Carolin. 31(3), 557-565 (1990).
  167. 1991

  168. J. Necas and A. Novotny: Some qualitative properties of the viscous compressible heat conductive multipolar fluid. Comm. Partial Differential Equations 16 (2-3), 197-220 (1991).
  169. J. Necas, A. Novotny, and M. Silhavy: Global solution to the compressible isothermal multipolar fluid. J. Math. Anal. Appl. 162 (1), 223-241 (1991).
  170. J. Necas and M. Ruzicka: A dynamic problem of thermoelasticity. Z. Anal. Anwendungen 10 (3), 357-368 (1991).
  171. J. Necas and M. Silhavy: Multipolar viscous fluids. Quart. Appl. Math. 49 (2), 247-265 (1991).
  172. J. Necas and V. Sverak: On regularity of solutions of nonlinear parabolic systems. Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4), 18 (1), 1-11 (1991).
  173. H. Bellout, F. Bloom, and J. Necas: Global existence of weak solutions to the nonlinear transmission line problem. Nonlinear Anal. 17 (10), 903-921 (1991).
  174. Ch. P. Gupta, Y. C. Kwong, and J. Necas: Nonresonance conditions for the strong solvability of a general elliptic partial differential operator. Nonlinear Anal. 17 (7), 613-625 (1991).
  175. 1992

  176. J. Necas, A. Novotny, M. Silhavy: Global soution t othe viscous compressible barotropic multipolar gass. Theoret. Comput. Fluid Dynamics 4, 1-11 (1992)
  177. J. Necas and M. Ruzicka: Global solution to the incompressible viscous-multipolar material problem. J. Elasticity 29 (2), 175-202 (1992).
  178. H. Bellout, F. Bloom, and J. Necas: A model of wave propagation in a nonlinear superconducting dielectric. Differential Integral Equations, 5 (5), 1185-1199 (1992).
  179. H. Bellout, F. Bloom, and J. Necas: Phenomenological behavior of multipolar viscous fluids. Quart. Appl. Math. 50 (3), 559-583 (1992).
  180. J. Malek, J. Necas, and A. Novotny. Measure-valued solutions and asymptotic behavior of a multipolar model of a boundary layer. Czechoslovak Math. J. 42, 549-576 (1992).
  181. 1993

  182. H. Bellout, F. Bloom, and J. Necas: Existence of global weak solutions to the dynamical problem for a three-dimensional elastic body with singular memory. SIAM J. Math. Anal. 24 (1), 36-45 (1993).
  183. H. Bellout, F. Bloom, and J. Necas: Solutions for incompressible non-Newtonian fluids. C. R. Acad. Sci. Paris Ser. I Math. 317 (8), 795-800 (1993).
  184. J. Jarusek, J. Malek, J. Necas, and V. Sverak: Variational inequality for a viscous drum vibrating in the presence of an obstacle. Rend. Mat. Appl. 12 (4), 943-958 (1993).
  185. J. Malek, J. Necas, and M. Ruzicka. On the non-Newtonian incompressible fluids. Math. Models Methods Appl. Sci. 3 (1), 35-63 (1993).
  186. 1994

  187. H. Bellout and J. Necas: Existence of global weak solutions for a class of quasilinear hyperbolic integro-differential equations describing viscoelastic materials. Math. Ann. 299 (2), 275-291 (1994).
  188. H. Bellout, F. Bloom, and J. Necas: Young measure-valued solutions for non-Newtonian incompressible fluids. Comm. Partial Differential Equations 19 (11-12), 1763-1803 (1994).
  189. Ch. P. Gupta, Y. C. Kwong, and J. Necas: Landesman-Lazer condition for properly elliptic operators. Boll. Un. Mat. Ital. A 8 (1), 65-74 (1994).
  190. 1995

  191. H. Bellout, F. Bloom, and J. Necas: Bounds for the dimensions of the attractors of non-linear bipolar viscous fluids. Asymptotic Anal. 11(2), 131-167 (1995).
  192. H. Bellout, F. Bloom, and J. Necas: Existence, uniqueness, and stability of solutions to the initial-boundary value problem for bipolar viscous fluids. Differential Integral Equations 8(2), 453-464 (1995).
  193. 1996

  194. J. Necas, M. Ruzicka, and V. Sverak: Sur une remarque de J. Leray concernant la construction de solutions singulieres des equations de Navier-Stokes. C. R. Acad. Sci. Paris Ser. I Math. 323 (3), 245-249 (1996).
  195. J. Necas, M. Ruzicka, and V. Sverak: On Leray's self-similar solutions of the Navier-Stokes equations. Acta Math. 176 (2), 283-294 (1996).
  196. H. Bellout and J. Necas: The exterior problem in the plane for a non-Newtonian incompressible bipolar viscous fluid. Rocky Mountain J. Math. 26 (4), 1245-1260 (1996).
  197. W. Hao, S. Leonardi, and J. Necas: An example of irregular solution to a nonlinear Euler-Lagrange elliptic system with real analytic coefficients. Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 23 (1), 57-67 (1996).
  198. J. Malek and J. Necas: A finite-dimensional attractor for three-dimensional flow of incompressible fluids. J. Differential Equations 127 (2), 498-518 (1996).
  199. 1999

  200. H. Bellout, J. Necas, and K.R. Rajagopal: On the existence and uniqueness of flows of multipolar fluids of grade $3$ and their stability. Internat. J. Engrg. Sci. 37, no. 1, 75-96 (1999).
  201. J. Malek, J. Necas, M. Pokorny, and M. E. Schonbek: On possible singular solutions to the Navier-Stokes equations. Math. Nachr. 199, 97-114 (1999).
  202. F. Mosna, J. Necas: Nonlinear hyperbolic equations with dissipative temporal and spatial non-local memory. Z. Anal. Anwendungen 18, no. 4, 939-951 (1999).
  203. S. Leonardi, J. Malek, J. Necas, and M. Pokorny: On axially symmetric flows in $\bold R^3$. Z. Anal. Anwendungen 18, no. 3, 639-649 (1999).
  204. 2001

  205. J. Necas and T. Roubicek: Buoyancy-driven viscous flow with $L^1$-data. Nonlinear Anal. 46, no. 5, Ser. A Theory Methods, 737-755 (2001).
  206. E. Behr, J. Necas and H. Wu: On blow-up of solution for Euler equations. M2AN (Math. Model. Numer. Anal.) 35, no. 2, 229-238 (2001).
  207. J. Malek, J. Necas and M. Ruzicka: On weak solutions to a class of non-Newtonian incompressible fluids in bounded three-dimensional domains: the case $p\geq2$. Adv. Differential Equations 6, no. 3, 257-302 (2001).
  208. 2002

  209. J. Necas and J. Neustupa: New conditions for local regularity of a suitable weak solution to the Navier-Stokes equation. J. Math. Fluid Mech. 4 , no. 3, 237-256 (2002).
  210. H. Bellout, E. Cornea, and J. Necas: On the concept of very weak $L\sp 2$ solutions to Euler's equations. SIAM J. Math. Anal. 33, no. 5, 995-1006 (2002).
  211. J. Malek, J. Necas, and K.R. Rajagopal: Global analysis of the flows of fluids with pressure-dependent viscosities. Arch. Rat. Mech. Anal. 165, no. 3, 243-269 (2002).
  212. J. Malek, J. Necas, and K.R. Rajagopal: Global existence of solutions for flows of fluids with pressure and shear dependent viscosities. Appl. Math. Lett. 15, no. 8, 961-967 (2002).
  213. 2003

  214. J. Hron, J. Malek, J. Necas, and K.R. Rajagopal: Numerical simulations and global existence of solutions of two-dimensional flows of fluids with pressure- and shear-dependent viscosities. MODELLING 2001 (Pilsen). Math. Comput. Simulation 61, no. 3-6, 297-315 (2003).
  215.  
     

     

    Contributions to Conference Proceedings    previous    next

  216. J. Necas: On the solution of elliptic partial differential equations with an unbounded Dirichlet integral. In Differential Equations and Their Applications (Proc. Conf., Prague, 1962), pp. 93-104. Publ. House Czechoslovak Acad. Sci., Prague, 1963.
  217. J. Necas: Sur la coercivite des formes bilineaires pour les equations elliptiques. Atti del VII Congreso UMI Genova 1-2, 1963.
  218. J. Necas: On the existence and regularity of solutions of nonlinear elliptic equations. In Diff. Equations and their Applications, Equadiff II (Proc. Conf., Bratislava, 1966), pp. 101-119. SPN, Bratislava, 1967.
  219. J. Necas: On the discretness of the spectrum of a nonlinear Sturm-Liouville equation of the fourth order. (In Russian.) In Application of functional methods to the boundary value problems of mathematical physics (Proc. Third Soviet-Czechoslovak Conf., Novosibirsk, 1971), pp. 107-121. Inst. Mat. Akad. Nauk SSSR Sibirsk. Otdel., Novosibirsk, 1972.
  220. J. Necas: Fredholm alternatives, and their applications to boundary value problems. (In Russian.) In Application of functional methods to the boundary value problems of mathematical physics (Proc. Third Soviet-Czechoslovak Conf., Novosibirsk, 1971), pp. 162-171. Inst. Mat. Akad. Nauk SSSR Sibirsk. Otdel., Novosibirsk, 1972.
  221. J. Necas: Range of nonlinear operators and application to boundary value problems. Math. Balcanica 3, 383-387 (1973). Proc. Internat. Conf. Integral, Differential and Functional Equations, Bled, 1973.
  222. J. Necas: Fredholm theory of boundary value problems for nonlinear ordinary differential operators. In Theory of nonlinear operators (Proc. Summer School, Babylon, 1971), pp. 85-119, Academia, Praha, 1973.
  223. S. Fucik, J. Necas: Spectral theory of nonlinear operators. In Proceedings of Equadiff III (Third Czechoslovak Conf. Differential Equations and their Appl., Brno, 1972), pp. 163-174. Folia Fac. Sci. Natur. Univ. Purkynianae Brunensis, Ser. Monograph., Tomus 1, Purkyne Univ., Brno, 1973.
  224. J. Necas: Mathematical models of elastic-inelastic materials. In Theory of nonlinear operators (Proc. Summer School, Neuchatel, 1972), pp. 227-232. Schriftenreihe Zentralinst. Math. Mech. Akad. Wiss. DDR, No. 20, Akademie-Verlag, Berlin, 1974.
  225. S. Fucik, A. Kratochvil, and J. Necas: Kacanov-Galerkin method and its applications. Acta Univ. Carolin.-Math. et Phys 15, 31-33 (1974). Proceedings of the Third Conference on Basic Problems of Numerical Mathematics (Prague, 1973).
  226. J. Necas: Introduction to variational methods of solution of elliptic equations with applications to theory of elasticity. Proceedings of summer school on Numerical Solution of Elliptic Equations by Finite Elements Method, Charles University, Prague, 1976.
  227. J.Necas: Example of an irregular solution to a nonlinear elliptic system with analytic coefficients and conditions for regularity. In Theory of nonlinear operators (Proc. Fourth Internat. Summer School, Acad. Sci., Berlin, 1975), pp. 197-206. Abh. Akad. Wiss. DDR Abt. Math.-Natur.-Tech., Jahrgang 1977, 1, Akademie-Verlag, Berlin, 1977.
  228. J. Necas: An example of a nonsmooth solution of a nonlinear elliptic system with analytic coefficients and a smoothness condition. In Proceedings of an All-Union Conference on Partial Differential Equations (Moscow State Univ., Moscow, 1976) (In Russian), pp. 174-177, Mekh., Moskov. Gos. Univ., 1978.
  229. J. Necas and L. Travnicek: Variational inequalities of elastoplasticity with internal state variables. In Theory of nonlinear operators (Proc. Fifth Internat. Summer School, Central Inst. Math. Mech. Acad. Sci. GDR, Berlin, 1977), volume 6 of Abh. Akad. Wiss. DDR, Abt. Math. Naturwiss. Tech., 1978, pp. 195-204. Akademie-Verlag, Berlin, 1978.
  230. J. Necas: On the regularity of weak solutions to variational equations and inequalities for nonlinear second order elliptic systems. In Equadiff IV (Proc. Czechoslovak Conf. Differential Equations and their Applications, Prague, 1977), volume 703 of Lecture Notes in Math., pp. 286-299. Springer, Berlin, 1979.
  231. J. Necas: A necessary and sufficient condition for the regularity of weak solutions to nonlinear elliptic systems of partial differential equations. In Nonlinear analysis (Berlin, 1979), vol. 2, Abh. Akad. Wiss. DDR, Abt. Math. Naturwiss. Tech., 1981, pp. 201-209. Akademie-Verlag, Berlin, 1981.
  232. I. Hlavacek, J. Necas: Optimization of the domain in elliptic unilateral boundary value problems by finite element methods. In Equadiff 5 (Proceedings of the conference), pp. 131-135, Teubner texte B 47, 1981.
  233. O. John, J. Necas, J. Stara: On the regulatity for 2nd order nonlinear elliptic systems. In Equadiff 5 (Proceedings of the conference), pp. 165-168, Teubner texte B 47, 1981.
  234. J. Necas: On regular solutions to the displacement boundary value problem in finite elasticity. In Trends in applications of pure mathematics to mechanics, Vol. IV (Bratislava, 1981), volume 20 of Monographs Stud. Math., pp. 176-185. Pitman, Boston, Mass., 1983.
  235. J. Necas: On the solution of the 19th Hilbert's problem. In Recent trends in Mathematics. Reinhardsbrun 1982. Teubner Texte, Leipzig, vol. 50, pp. 214-223, 1984.
  236. J. Necas: Entropy compactification of the transonic flow. In Equadiff 6 (Brno, 1985), volume 1192 of Lecture Notes in Math., pp. 399-408. Springer, Berlin, 1986.
  237. J. Necas: On singularities of solutions to nonlinear elliptic systems of partial differential equations. In Nonlinear functional analysis and its applications, Part 2 (Berkeley, Calif., 1983), volume 45 of Proc. Sympos. Pure Math., pp. 219-228. Amer. Math. Soc., Providence, R.I., 1986.
  238. J. Necas: Entropy compactification of the transonic flow. In Mathematical Methods in Engineering, Karlovy Vary I, pp. 97-101, 1986.
  239. J. Necas: Strongly dissipative nonlinear hyperbolic systems. (In Czech.) In Proceedings of a seminar at Sous, Fyzika a Matematika, Karlovy Vary I, pp. 7-13, JCMF Praha, 1987.
  240. J. Necas: A viscosity solution method for transonic flow. In Functional and numerical methods in mathematical physics (In Russian), pp. 155-161, 271. Naukova Dumka, Kiev, 1988.
  241. J. Necas: Finite element approach to the transonic flow problem. In Proceedings of the Second International Symposium on Numerical Analysis (Prague, 1987), volume 107 of Teubner-Texte Math., pp. 70-74, Leipzig, Teubner, 1988.
  242. J. Necas: Dynamic in the nonlinear thermo-visco-elasticity. In Symposium "Partial Differential Equations" (Holzhau, 1988), volume 112 of Teubner-Texte Math., pp. 197-203. Teubner, Leipzig, 1989.
  243. J. Necas: Theory of multipolar viscous fluids. In The mathematics of finite elements and applications, VII (Uxbridge, 1990), pp. 233-244. Academic Press, London, 1991.
  244. J. Necas: Theory of multipolar fluids. In Problems and methods in mathematical physics (Chemnitz, 1993), volume 134 of Teubner-Texte Math., pp. 111-119. Teubner, Stuttgart, 1994.
  245. J. Necas: Theory of multipolar fluids. In World Congress of Nonlinear Analysts '92, Vol. I-IV (Tampa, FL, 1992), pp. 1073-1081, de Gruyter, Berlin, 1996.
  246.  
     

     

    Editorial work    previous    next

  247. Theory of nonlinear operators. (J. Necas, J. Kolomy, R. Kluge, and A. Langenbach, eds.) Proceedings of a Summer School held at Neuchatel (Hiddensee) in October, 1972. Schriftenreihe des Zentralinstituts fuer Mathematik und Mechanik bei der Akademie der Wissenschaften der DDR, Heft 20. Akademie-Verlag, Berlin, 1974.
  248. Recent developments in theoretical fluid mechanics. (G. P. Galdi and J. Necas, eds.) Proceedings of the 2nd Winter School on Fluid Dynamics held in Paseky, November 29-December 4, 1992. Pitman Research Notes in Mathematics Series, 291. Longman Scientific & Technical, Harlow; copublished in the United States with John Wiley & Sons, Inc., New York, 1993.
  249. Progress in theoretical and computational fluid mechanics. (G. P. Galdi, J. Malek, and J. Necas, eds.) Proceedings of the 3rd Winter School in Fluid Dynamics held in Paseky, December 12-18, 1993. Pitman Research Notes in Mathematics Series, 308. Longman Scientific & Technical, Harlow, 1994.
  250. Mathematical theory in fluid mechanics. (G. P. Galdi, J. Malek, and J. Necas, eds.) Proceedings of the 4th Winter School held in Paseky, December 3-9, 1995. Pitman Research Notes in Mathematics Series, 354. Longman, Harlow, 1996.
  251. Advanced topics in theoretical fluid mechanics. (J. Malek, J. Necas, and M. Rokyta, eds.) Proceedings of the 5th Winter School on Mathematical Theory in Fluid Mechanics held in Paseky nad Jizerou, December 6-14, 1997. Pitman Research Notes in Mathematics Series, 392. Longman, Harlow, 1998.
  252. Advances in mathematical fluid mechanics. (J. Malek, J. Necas, and M. Rokyta, eds.) Proceedings of the 6th International School on Mathematical Theory in Fluid Mechanics held in Paseky, September 19-26, 1999. Springer-Verlag, Berlin, 2000.
  253. Partial differential equations. Theory and numerical solution. (W. Jager, J. Necas, O. John, K. Najzar, and J. Stara, eds.) Proceedings of the conference held in Praha, August 10-16, 1998. Chapman & Hall/CRC Research Notes in Mathematics, 406, 2000.
  254.  
     

     

    Other    previous    next

  255. A. Kufner and J. Necas: In memoriam Jana Kadlece. (In Czech.) Casopis Pest. Mat. 92, 490-492 (1967).
  256. A. Kufner and J. Necas: In memoriam of Jan Kadlec. Czechoslovak Math. J. 18, 190-192 (1968).
  257. J. Mawhin, J. Necas and B. Novak: In memoriam Professor Svatopluk Fucik. Czechoslovak Math. J. 30 (105), no. 1, 153-162 (1980).
  258. J. Mawhin, J. Necas and B. Novak: Docent Svatopluk Fucik has died. (in Czech) Cas. Pest. Mat. 105, no. 1, 9-101 (1980).
  259. I. Marek and J. Necas: 60th anniversary of birthday of Professor Karel Rektorys. Czechoslovak Math. J. 33 (108), no. 2, 320-323 (1983).
  260. I. Marek and J. Necas: The sixtieth birthday of Professor Karel Rektorys. Casopis Pest. Mat. 108 (1), 104-109 (1983).
  261. J. Necas: The current state and future of nonlinear analysis in Czechoslovakia. Pokroky Mat. Fyz. Astronom. 35 (5), 250-255 (1990).


 (updated December 18, 2004)