EXPRO 2020 Analysis of partial differential equations

Publications supported by the project

Bulíček, Miroslav; Patel, Victoria; Şengül, Yasemin; Süli, Endre. Existence and uniqueness of global weak solutions to strain-limiting viscoelasticity with Dirichlet boundary data. Preprint NCMM/2020/12

Bulíček, Miroslav; Patel, Victoria; Şengül, Yasemin; Süli, Endre. Existence of large-data global weak solutions to a model of a strain-limiting viscoelastic body. Preprint NCMM/2020/11

Abbatiello, Anna; Bulíček, Miroslav; Maringová, Erika. On the dynamic slip boundary condition for Navier--Stokes-like problems. Preprint NCMM/2020/10

Bulíček, Miroslav; Frehse, Jens; Specovius-Neugebauer, Maria. Regularity results for two standard models in elasto-perfect-plasticity theory with hardening. Preprint NCMM/2020/05

Selected earlier publications by team members

BULÍČEK, Miroslav; MÁLEK, Josef. Large data analysis for Kolmogorov’s two-equation model of turbulence. Nonlinear Analysis: Real World Applications, 2019, 50: 104-143. 10.1016/j.nonrwa.2019.04.008

BULÍČEK, Miroslav; FEIREISL, Eduard; MÁLEK, Josef. On a class of compressible viscoelastic rate-type fluids with stress-diffusion. Nonlinearity, 2019, 32.12: 4665. 10.1088/1361-6544/ab3614

DOSTALÍK, Mark; PRŮŠA, Vít; TŮMA, Karel. Finite amplitude stability of internal steady flows of the Giesekus viscoelastic rate-type fluid. Entropy, 2019, 21.12: 1219. 10.3390/e21121219

BULÍČEK, Miroslav; MÁLEK, Josef; PRŮŠA, Vít. Thermodynamics and stability of non-equilibrium steady states in open systems. Entropy, 2019, 21.7: 704. 10.3390/e21070704

BULÍČEK, Miroslav; KAPLICKÝ, Petr; PRAŽÁK, Dalibor. Uniqueness and regularity of flows of non-Newtonian fluids with critical power-law growth. Mathematical Models and Methods in Applied Sciences, 2019, 29.06: 1207-1225. 10.1142/S0218202519500209

BULÍČEK, Miroslav, et al. The dimension of the attractor for the 3D flow of a non-Newtonian fluid. Communications on Pure & Applied Analysis, 2009, 8.5: 1503. 10.3934/cpaa.2009.8.1503

BULÍČEK, Miroslav, et al. On elastic solids with limiting small strain: modelling and analysis. EMS Surveys in Mathematical Sciences, 2014, 1.2: 283-332. 10.4171/EMSS/7

BECK, Lisa, et al. On the existence of integrable solutions to nonlinear elliptic systems and variational problems with linear growth. Archive for Rational Mechanics and Analysis, 2017, 225.2: 717-769. 10.1007/s00205-017-1113-4

BULÍČEK, Miroslav; BURCZAK, Jan; SCHWARZACHER, Sebastian. Well posedness of nonlinear parabolic systems beyond duality. In: Annales de l'Institut Henri Poincaré C, Analyse non linéaire. Elsevier Masson, 2019. p. 1467-1500. 10.1016/j.anihpc.2019.01.004

BULÍČEK, Miroslav; DIENING, Lars; SCHWARZACHER, Sebastian. Existence, uniqueness and optimal regularity results for very weak solutions to nonlinear elliptic systems. Analysis & PDE, 2016, 9.5: 1115-1151. 10.2140/apde.2016.9.1115

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