29 citations · 113 across the 18 of their papers we have counts for
20 papers
Degenerate area preserving surface Allen-Cahn equation and its sharp interface limit
Michal Benes, Miroslav Kolar, Jan M. Sischka +1
We consider formal matched asymptotics to show the convergence of a degenerate area preserving surface Allen-Cahn equation to its sharp interface limit of area preserving geodesic…
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…
Convergence of the Finite Volume Method on Unstructured Meshes for a 3D Phase Field Model of Solidification
Aleš Wodecki, Pavel Strachota, Michal Beneš
We present a convergence result for the finite volume method applied to a particular phase field problem suitable for simulation of pure substance solidification. The model consist…
Focusing the Latent Heat Release in 3D Phase Field Simulations of Dendritic Crystal Growth
Pavel Strachota, Aleš Wodecki, Michal Beneš
We investigate a family of phase field models for simulating dendritic growth of a pure supercooled substance. The central object of interest is the reaction term in the Allen-Cahn…
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…