3 papers
math.AP2018
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…
math.AP2016
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…
math.AP2011
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…