29 citations · 113 across the 18 of their papers we have counts for
8 papers · 1 filter
Qualitative and numerical aspects of a motion of a family of interacting curves in space
Michal Benes, Miroslav Kolar, Daniel Sevcovic
In this article we investigate a system of geometric evolution equations describing a curvature driven motion of a family of 3D curves in the normal and binormal directions. Evolvi…
Homogenization of degenerate coupled transport processes in porous media with memory terms
Michal Beneš, Igor Pažanin
In this paper we establish a homogenization result for a doubly nonlinear parabolic system arising from the hygro-thermo-chemical processes in porous media taking into account memo…
Global weak solutions to degenerate coupled diffusion-convection-dispersion processes and heat transport in porous media
Michal Beneš, Lukáš Krupička
In this contribution we prove the existence of weak solutions to degenerate parabolic systems arising from the coupled moisture movement, transport of dissolved species and heat tr…
Solutions to the Navier-Stokes Equations with Mixed Boundary Conditions in Two-Dimensional Bounded Domains
Michal Beneš, Petr Kučera
In this paper we consider the system of the non-steady Navier-Stokes equations with mixed boundary conditions. We study the existence and uniqueness of a solution of this system. W…
A Note on Doubly Nonlinear Parabolic Systems with Unilateral Constraint
Michal Beneš
We prove the existence and uniqueness of the solution to the doubly nonlinear parabolic systems with mixed boundary conditions. Due to the unilateral constraint the problem comes a…
Mixed Initial-Boundary Value Problem for the Three-Dimensional Navier-Stokes Equations in Polyhedral Domains
Michal Benes
We study a mixed initial-boundary value problem for the Navier-Stokes equations, where the Dirichlet, Neumann and slip boundary conditions are prescribed on the faces of a three-di…