Some existence results for the modified binormal curvature flow equation
Analysis of PDEs
2014-11-26 v1
Abstract
We establish existence and uniqueness results for the modified binormal curvature flow equation that generalizes the binormal curvature flow equation for a curve in In this generalization, the velocity of the curve is still directed along the binormal vector, but the magnitude of the speed is allowed to depend on th parametrization of the curve, the time and the position of the point in the space. We achieve our objective via a generalized form of the Schr\"odinger map equation.
Keywords
Cite
@article{arxiv.1411.6893,
title = {Some existence results for the modified binormal curvature flow equation},
author = {Haidar Mohamad},
journal= {arXiv preprint arXiv:1411.6893},
year = {2014}
}