Singularity for a multidimensional variational wave equation arising from nematic liquid crystals
Analysis of PDEs
2019-10-22 v1
Abstract
This article is focused on a multidimensional nonlinear variational wave equation which is the Euler-Lagrange equation of a variational principle arising form the theory of nematic liquid crystals. By using the method of characteristics, we show that the smooth solutions for the spherically-symmetric variational wave equation breakdown in finite time, even for the arbitrarily small initial energy.
Cite
@article{arxiv.1910.08671,
title = {Singularity for a multidimensional variational wave equation arising from nematic liquid crystals},
author = {Yanbo Hu and Guodong Wang},
journal= {arXiv preprint arXiv:1910.08671},
year = {2019}
}