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arXiv · 1804.08203

Convergence of the Ginzburg-Landau approximation for the Ericksen-Leslie system

Zhewen Feng·Min-Chun Hong·Yu Mei
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Abstract

We establish the local well-posedness of the general Ericksen-Leslie system in liquid crystals with the initial velocity and director field in $H^1 \times H_b^2$. In particular, we prove that the solutions of the Ginzburg-Landau approximation system converge smoothly to the solution of the Ericksen-Leslie system for any $t \in (0,T^\ast)$ with a maximal existence time $T^\ast$ of the Ericksen- Leslie system.

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Zhewen Feng, Min-Chun Hong, Yu Mei. 2018-04-23. Convergence of the Ginzburg-Landau approximation for the Ericksen-Leslie system. https://doi.org/10.1137/18m1182887

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