Global solutions of the Hunter-Saxton equation
Analysis of PDEs
2007-05-23 v1
Abstract
We construct a continuous semigroup of weak, dissipative solutions to a nonlinear partial differential equations modeling nematic liquid crystals. A new distance functional, determined by a problem of optimal transportation, yields sharp estimates on the continuity of solutions with respect to the initial data.
Cite
@article{arxiv.math/0502059,
title = {Global solutions of the Hunter-Saxton equation},
author = {Alberto Bressan and Adrian Constantin},
journal= {arXiv preprint arXiv:math/0502059},
year = {2007}
}
Comments
31 pages