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arXiv · 1801.01732

Global Well-posedness for the Three Dimensional Simplified Inertial Ericksen-Leslie Systems Near Equilibrium

Yuan Cai·Wei Wang
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Abstract

We study a simplified inertial Ericksen-Leslie system for the nematic liquid crystal flow, which can be viewed as a system coupling Navier-Stokes equations and wave map equations. We prove the global existence of classical solution with initial data near equilibrium.

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Yuan Cai, Wei Wang. 2018-01-05. Global Well-posedness for the Three Dimensional Simplified Inertial Ericksen-Leslie Systems Near Equilibrium. https://doi.org/10.1016/j.jfa.2020.108521

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