Small data global regularity for the 3-D Ericksen-Leslie hyperbolic liquid crystal model without kinematic transport

Jiaxi Huang, Ning Jiang, Yi Long Luo, Lifeng Zhao

科研成果: 期刊稿件文章同行评审

12 引用 (Scopus)

摘要

In this article, we consider the hyperbolic Ericksen-Leslie system for incompressible liquid crystals without kinematic transport in three spatial dimensions, which is a nonlinear coupling of incompressible Navier-Stokes equations with wave map to B 2. Global regularity for small and smooth initial data near the equilibrium is proved. The proof relies on the idea of space-time resonance.

源语言英语
页(从-至)530-573
页数44
期刊SIAM Journal on Mathematical Analysis
53
1
DOI
出版状态已出版 - 2021
已对外发布

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