Well-posedness of the Ericksen-Leslie system
Analysis of PDEs
2015-06-11 v1
Abstract
In this paper, we prove the local well-posedness of the Ericksen-Leslie system, and the global well-posednss for small initial data under the physical constrain condition on the Leslie coefficients, which ensures that the energy of the system is dissipated. Instead of the Ginzburg-Landau approximation, we construct an approximate system with the dissipated energy based on a new formulation of the system.
Keywords
Cite
@article{arxiv.1208.6107,
title = {Well-posedness of the Ericksen-Leslie system},
author = {Wei Wang and Pingwen Zhang and Zhifei Zhang},
journal= {arXiv preprint arXiv:1208.6107},
year = {2015}
}
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16 pages