S. Fucik, J. Necas, J. Soucek, and V. Soucek:
Spectral analysis of nonlinear operators.
Lecture Notes in Mathematics, Vol. 346,
Springer-Verlag, Berlin, 1973.
S. Fucik, J. Necas, and V. Soucek:
Einfuhrung in die Variationsrechnung.
(In German), Teubner-Texte zur
Mathematik. B. G. Teubner Verlagsgesellschaft, Leipzig, 1977.
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.
I. Hlavacek, J. Haslinger, J. Necas, and J. Lovisek:
Riesenie variacnych nerovnost v mechanike (in Slovak).
Alfa - Vydavatelstvo Technickej a Ekonomickej Literatury,
Bratislava, 1982.
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.
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.
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.)
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.
J. Necas:
Ecoulements de fluide: compacite par entropie, volume 10
of RMA: Research Notes in Applied Mathematics.
Masson, Paris, 1989.
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.
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.
Textbooks
J. Necas:
Variational Methods for Solutions of Linear Elliptic Equations. (In Czech.)
UTAM CSAV, 1960.
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.
J. Necas and A. Kufner:
Functional Analytic Methods of Solutions to Elliptic Partial
Differential Equations. (In Czech.) MU CSAV, 1963.
J. Necas: Integral transforms (Operational calculus). Survey of applicable mathematics. Iliffe books LTD, London, 1969, pp. 1125-1136.
J. Necas, S. Fucik, and V. Soucek:
Introduction to the Calculus of Variations. (In Czech.)
SPN, Praha, 1972.
J. Necas and O. John:
Partial Differential Equations of Mathematical Physics. (In Czech.)
SPN, Praha, 1972.
J. Necas:
Introduction to the Mathematical Theory of Elastic and
Elasto-Plastic Bodies. (In Czech.)
SPN, Praha, 1976.
J. Necas
On the Regularity of Weak Solutions to Nonlinear Elliptic
Systems of Partial Differential
Equations. Scuola Normale Superiore Pisa, 1979.
A chapter in the book
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.
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.
Scientific papers
1956
J. Necas: Influence of outside temperature on the strain of dams and other concrete masses. (In Czech).
Appl. Mat.1, 103-118 (1956).
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).
D. Mayer and J. Necas:
Das Addieren unendlicher Reihen unter Benutzung von
Integraltransformationen.
Appl. Mat.1, 165-185 (1956).
1958
J. Necas:
Solution du probleme biharmonique pour le coin infini, I.
Casopis Pest. Mat.83 257-286 (1958).
J. Necas:
Solution du probleme biharmonique pour le coin infini, II.
Casopis Pest. Mat.83 399-424 (1958).
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).
1959
J. Necas:
Solution du probleme biharmonique pour le coin infini pas convex. (In Czech).
Casopis Pest. Mat.84, 90-98 (1959).
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).
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).
1960
J. Necas:
Uber Grenzwerte von Funktionen, welche ein endliches
Dirichlet'sches Integral haben.
Apl. Mat.5, 202-209 (1960).
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).
1961
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).
J. Necas:
Sur le probleme de Dirichlet pour l'equation aux derivees
partielles du quatrieme ordre du type elliptique.
Rend. Sem. Mat. Univ. Padova31, 198-231 (1961).
1962
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).
J. Necas:
On domains of type $\germ N$. (In Russian).
Czechoslovak Math. J.12 (87), 274-287 (1962).
J. Necas:
Application de l'egalite de Rellich aux problemes aux limites.
Sem. Eq. Der. Art., College de France , 143-167 (1962).
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).
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).
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).
1964
J. Necas:
Sur la coercivite des formes sesquilineaires, elliptiques.
Rev. Roumaine Math. Pures Appl., 9, 47-69 (1964).
J. Necas:
Sur les equations differentielles aux derivees partielles du
type elliptique du deuxieme ordre.
Czechoslovak Math. J., 14 (89), 125-146 (1964).
1965
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).
1966
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).
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).
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).
J. Necas and Z. Poracka:
On extrema of functionals.
Comment. Math. Univ. Carolin., 7, 509-520 (1966).
1967
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).
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).
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).
J. Necas:
On the existence and regularity of solutions of nonlinear elliptic equations.
Acta Facult. Rer. Nat. Univ. Comeniane Math.17, 101-119 (1967).
J. Necas: Sur la regularite des solutions faibles des equations elliptiques nonlineaires.
College de France, Paris, pp. 20-57, (1967-1968).
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).
1968
J. Necas:
Sur la regularite des solutions faibles des equations
elliptiques non lineaires.
Comment. Math. Univ. Carolin., 9, 365-413 (1968).
J. Necas:
Convergence of a method for solving the magnetostatic field in non-linear media.
Applications of Math., 13, 456-465 (1968).
1969
J. Necas:
Les equations elliptiques non-lineaires.
Czechoslovak Math. J., 19 (94), 252-274 (1969).
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).
1970
J. Necas, Z. Poracka, and R. Kodnar:
Remarks on a nonlinear theory of thin elastic plates.
Mat. Casopis Sloven. Akad. Vied20, 62-71 (1970).
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).
I. Hlavacek and J. Necas:
On inequalities of Korn's type. II. Applications to linear
elasticity.
Arch. Rational Mech. Anal.36, 312-334 (1970).
1971
J. Necas:
The discreteness of the spectrum of a nonlinear Sturm-Liouville
equation.
Dokl. Akad. Nauk SSSR201, 1045-1048 (1971).
J. Necas:
On the demiregularity of weak solutions of nonlinear elliptic
equations.
Bull. Amer. Math. Soc.77, 151-156 (1971).
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).
1972
J. Necas:
Fredholm alternative for nonlinear operators and applications to
partial differential equations and integral equations.
Casopis Pest. Mat., 97, 65-71 (1972).
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).
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).
S. Fucik and J. Necas:
Ljusternik-Schnirelmann theorem and nonlinear eigenvalue problems.
Math. Nachr.53, 277-289 (1972).
S. Fucik, O. John, and J. Necas:
On the existence of Schauder bases in Sobolev spaces.
Comment. Math. Univ. Carolin.13, 163-175 (1972).
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).
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).
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).
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 Analysis11, 314-333 (1972).
1973
J. Necas:
On the formulation of the traction problem for the flow theory of
plasticity.
Appl. Mat.18, 119-127 (1973).
J. Necas:
On the range of nonlinear operators with linear asymptotes which are not
invertible.
Comment. Math. Univ. Carolin.14, 63-72 (1973).
J. Necas:
Variational methods in nonlinear elasticity. (In Czech.)
Acta Polytechnica, 129-133 (1973).
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).
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).
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).
S. Fucik, A. Kratochvil, and J. Necas:
Kacanov-Galerkin method.
Comment. Math. Univ. Carolin.14, 651-659 (1973).
1974
J. Necas:
Application of Rothe's method to abstract parabolic equations.
Czechoslovak Math. J.24 (99), 496-500 (1974).
J. Necas and J. Naumann:
On a boundary value problem in nonlinear theory of thin elastic
plates.
Appl. Mat.19, 7-16 (1974).
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).
S. Fucik, J. Necas, J. Soucek, and V. Soucek:
Krasnoselskii's main bifurcation theorem.
Arch. Rat. Mech. Anal.54, 328-339 (1974).
1975
J. Necas:
An approximate method for finding the critical points of even
functionals.
Trudy Mat. Inst. Steklov.134, 235-239 (1975).
J. Necas:
On regularity of solutions to nonlinear variational inequalities for
second-order elliptic systems.
Rend. Mat.8 (2), 481-498 (1975).
S. Fucik, A. Kratochvil, and J. Necas:
Kacanov's method and its application.
Rev. Roumaine Math. Pures Appl.20 (8), 907-916 (1975).
S. Fucik, M. Kucera, and J. Necas:
Ranges of nonlinear asymptotically linear operators.
J. Differ. Eq., 17, 375-394 (1975).
O. John and J. Necas:
On the solvability of von Karman equations.
Appl. Mat.20, 48-62 (1975).
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).
1976
J. Necas:
Theory of locally monotone operators modelled on the finite
displacement theory for hyperelasticity.
Beitrage Anal.8, 103-114 (1976).
J. Necas and M. Stipl:
A paradox in the theory of linear elasticity.
Appl. Mat., 21 (6), 431-433 (1976).
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).
1977
M. Kucera and J. Necas:
Interior regularity of solutions to systems of variational
inequalities.
Cas. Pest. Mat., 102 (1), 73-82 (1977).
J. Jarusek and J. Necas:
Sur les domaines des valeurs des operateurs non-lineaires.
Cas. Pest. Mat., 102 (1), 61-72 (1977).
1978
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).
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.
1979
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).
K. Groger and J. Necas:
On a class of nonlinear initial value problems in Hilbert spaces.
Math. Nachr., 93, 21-31 (1979).
K. Groger, J. Necas, and L. Travnicek:
Dynamic deformation processes of elastic-plastic systems.
Z. Angew. Math. Mech., 59 (10), 567-572 (1979).
A. Kratochvil and J. Necas:
Secant modulus method for the construction of a solution of nonlinear
eigenvalue problems.
Boll. Un. Mat. Ital. B16 (2), 694-710 (1979).
1980
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).
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. B17 (2), 796-811 (1980).
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).
I. Necas and O. A. Oleinik:
Liouville theorems for elliptic systems. (In Russian.)
Dokl. Akad. Nauk SSSR252 (6), 1312-1316 (1980).
J. Necas and L. Travnicek:
Evolutionary variational inequalities and applications in plasticity.
Appl. Mat., 25 (4), 241-256 (1980).
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).
A. Kratochvil and J. Necas:
Gradient methods for the construction of Ljusternik-Schnirelmann
critical values.
RAIRO Anal. Numer.14 (1), 43-54 (1980).
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).
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).
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).
1983
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).
1984
M. Feistauer, J. Mandel, and J. Necas:
Entropy regularization of the transonic potential flow problem.
Comment. Math. Univ. Carolin.25 (3), 431-443 (1984).
Ph. G. Ciarlet and J. Necas:
Problemes unilateraux en elasticite non lineaire
tridimensionnelle.
C. R. Acad. Sci. Paris Ser. I Math298 (8), 189-192 (1984).
1985
Ph. G. Ciarlet and J. Necas:
Unilateral problems in nonlinear, three-dimensional elasticity.
Arch. Rational Mech. Anal.87 (4), 319-338 (1985).
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).
M. Feistauer and J. Necas:
On the solvability of transonic potential flow problems.
Z. Anal. Anwendungen, 4 (4), 305-329 (1985).
1986
M. Feistauer and J. Necas:
On the solution of transonic flows with weak shocks.
Comment. Math. Univ. Carolin.27 (4), 791-804 (1986).
1987
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).
J. Mandel and J. Necas:
Convergence of finite elements for transonic potential flows.
SIAM J. Numer. Anal.24 (5), 985-996 (1987).
Ph. G. Ciarlet and J. Necas:
Injectivity and self-contact in nonlinear elasticity.
Arch. Rational Mech. Anal.97 (3), 171-188 (1987).
1988
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).
M. Feistauer and J. Necas:
Remarks on the solvability of transonic flow problems.
Manuscripta Math.61 (4), 417-428 (1988).
M. Feistauer and J. Necas:
Viscosity method in a transonic flow.
Comm. Partial Differential Equations13 (7), 775-812 (1988).
A. Friedman and J. Necas:
Systems of nonlinear wave equations with nonlinear viscosity.
Pacific J. Math.135 (1), 29-55 (1988).
1989
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).
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).
1990
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).
J. Necas and P. Kloucek:
The solution of transonic flow problems by the method of
stabilization.
Appl. Anal.37, 143-167 (1990).
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).
J. Milota, J. Necas, and V. Sverak:
On weak solutions to a viscoelasticity model.
Comment. Math. Univ. Carolin.31(3), 557-565 (1990).
1991
J. Necas and A. Novotny:
Some qualitative properties of the viscous compressible heat
conductive multipolar fluid.
Comm. Partial Differential Equations16 (2-3), 197-220 (1991).
J. Necas, A. Novotny, and M. Silhavy:
Global solution to the compressible isothermal multipolar fluid.
J. Math. Anal. Appl.162 (1), 223-241 (1991).
J. Necas and M. Ruzicka:
A dynamic problem of thermoelasticity.
Z. Anal. Anwendungen10 (3), 357-368 (1991).
J. Necas and M. Silhavy:
Multipolar viscous fluids.
Quart. Appl. Math.49 (2), 247-265 (1991).
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).
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).
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).
1992
J. Necas, A. Novotny, M. Silhavy:
Global soution t othe viscous compressible barotropic multipolar gass.
Theoret. Comput. Fluid Dynamics4, 1-11 (1992)
J. Necas and M. Ruzicka:
Global solution to the incompressible viscous-multipolar material
problem.
J. Elasticity29 (2), 175-202 (1992).
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).
H. Bellout, F. Bloom, and J. Necas:
Phenomenological behavior of multipolar viscous fluids.
Quart. Appl. Math.50 (3), 559-583 (1992).
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).
1993
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).
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).
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).
J. Malek, J. Necas, and M. Ruzicka.
On the non-Newtonian incompressible fluids.
Math. Models Methods Appl. Sci.3 (1), 35-63 (1993).
1994
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).
H. Bellout, F. Bloom, and J. Necas:
Young measure-valued solutions for non-Newtonian incompressible
fluids.
Comm. Partial Differential Equations19 (11-12), 1763-1803
(1994).
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).
1995
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).
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 Equations8(2), 453-464 (1995).
1996
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).
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).
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).
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).
J. Malek and J. Necas:
A finite-dimensional attractor for three-dimensional flow of
incompressible fluids.
J. Differential Equations127 (2), 498-518 (1996).
1999
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).
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).
F. Mosna, J. Necas: Nonlinear hyperbolic equations with
dissipative temporal and spatial non-local
memory. Z. Anal. Anwendungen18, no. 4, 939-951 (1999).
S. Leonardi, J. Malek, J. Necas, and M. Pokorny: On axially
symmetric flows in $\bold R^3$. Z. Anal. Anwendungen18, no. 3, 639-649 (1999).
2001
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).
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).
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).
2002
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).
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).
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).
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).
2003
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).
Contributions to Conference Proceedings
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.
J. Necas:
Sur la coercivite des formes bilineaires pour les equations elliptiques.
Atti del VII Congreso UMI Genova 1-2, 1963.
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.
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.
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.
J. Necas: Range of nonlinear operators and application to
boundary value problems. Math. Balcanica3, 383-387 (1973).
Proc. Internat. Conf. Integral, Differential and Functional Equations,
Bled, 1973.
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.
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.
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.
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).
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
J. Necas:
Entropy compactification of the transonic flow. In Mathematical Methods in Engineering, Karlovy Vary I, pp. 97-101, 1986.
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.
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.
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.
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.
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.
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.
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.
Editorial work
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.
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.
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.
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.
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.
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.
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.
Other
A. Kufner and J. Necas:
In memoriam Jana Kadlece. (In Czech.)
Casopis Pest. Mat.92, 490-492 (1967).
A. Kufner and J. Necas:
In memoriam of Jan Kadlec.
Czechoslovak Math. J.18, 190-192 (1968).
J. Mawhin, J. Necas and B. Novak: In memoriam
Professor Svatopluk Fucik. Czechoslovak Math. J.30 (105),
no. 1, 153-162 (1980).
J. Mawhin, J. Necas and B. Novak: Docent
Svatopluk Fucik has died. (in Czech) Cas. Pest. Mat.105, no. 1, 9-101 (1980).
I. Marek and J. Necas: 60th anniversary of birthday of
Professor Karel Rektorys. Czechoslovak Math. J.33 (108), no. 2,
320-323 (1983).
I. Marek and J. Necas:
The sixtieth birthday of Professor Karel Rektorys.
Casopis Pest. Mat.108 (1), 104-109 (1983).
J. Necas:
The current state and future of nonlinear analysis in
Czechoslovakia.
Pokroky Mat. Fyz. Astronom.35 (5), 250-255 (1990).