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Mathematics > Analysis of PDEs

arXiv:1812.08341 (math)
[Submitted on 20 Dec 2018 (v1), last revised 20 Oct 2020 (this version, v2)]

Title:Small data global regularity for 3-D Ericksen-Leslie's hyperbolic liquid crystal model without kinematic transport

Authors:Jiaxi Huang, Ning Jiang, Yi-Long Luo, Lifeng Zhao
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Abstract:In this article, we consider the Ericksen-Leslie's hyperbolic system for incompressible liquid crystal model without kinematic transport in three spatial dimensions, which is a nonlinear coupling of incompressible Navier-Stokes equations with wave map to $\mathbb{S}^2$. Global regularity for small and smooth initial data near the equilibrium is proved. The proof relies on the idea of space-time resonance.
Comments: 39 pages;accepted by SIAM JMA at Oct. 20, 2020; welcome any coment
Subjects: Analysis of PDEs (math.AP)
Cite as: arXiv:1812.08341 [math.AP]
  (or arXiv:1812.08341v2 [math.AP] for this version)
  https://doi.org/10.48550/arXiv.1812.08341
Journal reference: SIAM J. Math. Anal. 53 (2021) 530-573
Related DOI: https://doi.org/10.1137/20M1322625

Submission history

From: Yi-Long Luo [view email]
[v1] Thu, 20 Dec 2018 03:01:45 UTC (37 KB)
[v2] Tue, 20 Oct 2020 02:40:47 UTC (31 KB)
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