activity
20102025
most citedExistence, uniqueness and optimal regularity results for very weak solutions to nonlinear elliptic systems

33 citations · 242 across the 34 of their papers we have counts for

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Showing 2020Show all

6 papers · 1 filter

math.AP2020

Existence and uniqueness of global weak solutions to strain-limiting viscoelasticity with Dirichlet boundary data

Miroslav Bulíček, Victoria Patel, Yasemin Şengül +1

We consider a system of evolutionary equations that is capable of describing certain viscoelastic effects in linearized yet nonlinear models of solid mechanics. The essence of the…

math.AP2020

On nonlinear problems of parabolic type with implicit constitutive equations involving flux

Miroslav Bulíček, Josef Málek, Erika Maringová

We study systems of nonlinear partial differential equations of parabolic type, in which the elliptic operator is replaced by the first order divergence operator acting on a flux f…

math.AP2020

On incompressible heat-conducting viscoelastic rate-type fluids with stress-diffusion and purely spherical elastic response

Miroslav Bulíček, Josef Málek, Vít Průša +1

We prove the existence of large-data global-in-time weak solutions to an evolutionary PDE system describing flows of incompressible \emph{heat-conducting} viscoelastic rate-type fl…

math.AP2020

Regularity results for two standard models in elasto-perfect-plasticity theory with hardening

Miroslav Bulíček, Jens Frehse, Maria Specovius-Neugebauer

We consider two most studied standard models in the theory of elasto-plasticity with hardening in arbitrary dimension , namely, the kinematic hardening and the isotropic ha…

math.AP2020★ 2 cited

On unsteady flows of pore pressure-activated granular materials

Anna Abbatiello, Miroslav Bulíček, Tomáš Los +2

We investigate mathematical properties of the system of nonlinear partial differential equations that describe, under certain simplifying assumptions, evolutionary processes in wat…

math.AP2020★ 11 cited

Existence analysis of a stationary compressible fluid model for heat-conducting and chemically reacting mixtures

Miroslav Buliček, Ansgar Jüngel, Milan Pokorný +1

The existence of large-data weak solutions to a steady compressible Navier-Stokes-Fourier system for chemically reacting fluid mixtures is proved. General free energies are conside…