2 citations · 2 across the 5 of their papers we have counts for
5 papers
Mean Curvature Flow of Closed Curves Evolving in Two Dimensional Manifolds
Miroslav Kolar, Daniel Sevcovic
We investigate the motion of a family of closed curves evolving according to the geometric evolution law on a given two dimensional manifold which is embedded or immersed in the th…
Evolution of multiple closed knotted curves in space
Miroslav Kolar, Daniel Sevcovic
We investigate a system of geometric evolution equations describing a curvature and torsion driven motion of a family of 3D curves in the normal and binormal directions. We explore…
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…
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…