Nonexistence of smooth solutions for the general compressible Ericksen -- Leslie equations in three dimensions
Analysis of PDEs
2012-09-14 v1 Mathematical Physics
math.MP
Fluid Dynamics
Abstract
We prove that the smooth solutions to the Cauchy problem for the compressible general three-dimensional Ericksen--Leslie system modeling nematic liquid crystal flow with conserved mass, linear momentum, and dissipating total energy, generally lose classical smoothness within a finite time.
Keywords
Cite
@article{arxiv.1209.2988,
title = {Nonexistence of smooth solutions for the general compressible Ericksen -- Leslie equations in three dimensions},
author = {Tudor Ratiu and Olga Rozanova},
journal= {arXiv preprint arXiv:1209.2988},
year = {2012}
}
Comments
7 pages. arXiv admin note: text overlap with arXiv:1206.2850, arXiv:1105.2180 by other authors