3 papers
math.AP2025
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…
math.AP2025
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…
math.AP2024
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…