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.

中文翻译：

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接近平衡的三维简化惯性 Ericksen-Leslie 系统的全局适定性

摘要 我们研究了一种简化的向列液晶流惯性 Ericksen-Leslie 系统，它可以看作是一个耦合 Navier-Stokes 方程和波图方程的系统。我们用接近平衡的初始数据证明了经典解的全局存在性。