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

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.

30 pages

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Cited by in corpus (5)

• Small data global regularity for 3-D Ericksen-Leslie's hyperbolic liquid crystal model without kinematic transport
• The zero inertia limit of Ericksen-Leslie's model for liquid crystals
• Small data global regularity for simplified 3-D Ericksen-Leslie's compressible hyperbolic liquid crystal model
• Modeling and Computation of Liquid Crystals
• Uniqueness of weak solutions for the general Ericksen-Leslie system with Ginzburg-Landau penalization in T^2