The zero inertia limit of Ericksen-Leslie's model for liquid crystals
Analysis of PDEs
2021-10-19 v1
Abstract
In this paper we study the zero inertia limit that is from the hyperbolic to parabolic Ericksen-Leslie's liquid crystal flow. By introducing an initial layer and constructing an energy norm and energy dissipation functional depending on the solutions of the limiting system, we derive a global in time uniform energy bound to the remainder system under the small size of the initial data.
Cite
@article{arxiv.1905.04745,
title = {The zero inertia limit of Ericksen-Leslie's model for liquid crystals},
author = {Ning Jiang and Yi-Long Luo},
journal= {arXiv preprint arXiv:1905.04745},
year = {2021}
}
Comments
56 pages; all coments wellcome !