Mathematics > Analysis of PDEs
[Submitted on 23 Apr 2018 (v1), last revised 13 Jun 2019 (this version, v3)]
Title:Convergence of the Ginzburg-Landau approximation for the Ericksen-Leslie system
View PDFAbstract: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.
Submission history
From: Yu Mei [view email][v1] Mon, 23 Apr 2018 00:45:29 UTC (24 KB)
[v2] Sun, 29 Apr 2018 23:39:24 UTC (25 KB)
[v3] Thu, 13 Jun 2019 15:04:03 UTC (29 KB)
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