15 citations · 27 across the 8 of their papers we have counts for
8 papers
On solutions for a generalized Navier-Stokes-Fourier system fulfilling entropy equality
Anna Abbatiello, Miroslav Bulíček, Petr Kaplický
We consider a flow of non-Newtonian heat conducting incompressible fluid in a bounded domain subjected to the homogeneous Dirichlet boundary condition for the velocity field and th…
Time regularity of flows of non-Newtonian fluids with critical power-law growth
Miroslav Bulíček, Petr Kaplický, Dalibor Pražák
We deal with the flows of non-Newtonian fluids in three dimensional setting subjected to the homogeneous Dirichlet boundary condition. Under the natural monotonicity, coercivity an…
Gradient theory for a class of non-diagonal nonlinear elliptic systems
Miroslav Bulíček, Martin Kalousek, Petr Kaplický +1
We consider a class of nonlinear non-diagonal elliptic systems with -growth and establish the -integrability for all of any weak solution provided the corres…
Isometric representation of Lipschitz-free spaces over convex domains in finite-dimensional spaces
Marek Cúth, Ondřej F. K. Kalenda, Petr Kaplický
Let be a finite-dimensional normed space and a nonempty convex open set in . We show that the Lipschitz-free space of is canonically isometric to the quotient of $L^…
Homogenization of a stationary flow of a generalized Newtonian fluid
Miroslav Bulíček, Martin Kalousek, Petr Kaplický
We perform the homogenization process avoiding the necessity of testing the weak formulation of the initial and homogenized systems by corresponding weak solutions. We show that th…
Gradient theory for a class of nondiagonal elliptic systems
Miroslav Bulíček, Martin Kalousek, Petr Kaplický +1
We show that the new result on Hölder continuity of solutions to a class of nondiagonal elliptic systems with -growth in [2] can be used to improve the theory for such sys…
Evolutionary, symmetric p-Laplacian. Interior regularity of time derivatives and its consequences
Jan Burczak, Petr Kaplický
We consider the evolutionary symmetric -Laplacian with safety . By symmetric we mean that the full gradient of -Laplacian is replaced by its symmetric part, which causes b…
Analysis of the Leray-α model with Navier slip boundary condition
Hani Ali, Petr Kaplický
In this paper, we establish the existence and the regularity of a unique weak solution to turbulent flows in a bounded domain governed by the so-called Leray…