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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.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…
math.AP2022
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…