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math.AP2011
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…
math.AP2011★ 2 cited
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…
math.AP2010
Analysis of coupled transport phenomena in concrete at elevated temperatures
Michal Beneš, Radek Štefan, Jan Zeman
In this paper, we study a non-linear numerical scheme arising from the implicit time discretization of the Bažant-Thonguthai model for hygro-thermal behavior of concrete at high te…