47 citations · 51 across the 3 of their papers we have counts for
4 papers
On diffusion and transport acting on parameterized moving closed curves in space
Michal Benes, Miroslav Kolar, Daniel Sevcovic
We investigate the motion of closed smooth curves that evolve in space . The governing evolutionary equation for the evolution of the curve is accompanied by a parabo…
Long-term behavior of curve shortening flow in
Jiří Minarčík, Michal Beneš
Space curve motion describes dynamics of material defects or interfaces, can be found in image processing or vortex dynamics. This article analyses some properties of space curves…
Hygro-thermo-mechanical analysis of spalling in concrete walls at high temperatures as a moving boundary problem
Michal Beneš, Radek Štefan
A mathematical model allowing coupled hygro-thermo-mechanical analysis of spalling in concrete walls at high temperatures by means of the moving boundary problem is presented. A si…
Second order numerical scheme for motion of polygonal curves with constant area speed
M. Benes, M. Kimura, S. Yazaki
We study polygonal analogues of several moving boundary problems and their time discretization which preserves the constant area speed property. We establish various polygonal anal…