Well-Posedness and Space-Time Regularity of Solutions to the Liquid Crystal Equations in Critical Space
Year: 2016
Author: Congchong Guo
Annals of Applied Mathematics, Vol. 32 (2016), Iss. 4 : pp. 357–379
Abstract
In this paper, we consider a hydrodynamic flow of nematic liquid crystal system. We prove the local well-posedness for the system in the critical Lebesgue space, and study the space-time regularity of the local solution.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2016-AAM-20649
Annals of Applied Mathematics, Vol. 32 (2016), Iss. 4 : pp. 357–379
Published online: 2016-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 23
Keywords: space-time regularity liquid crystal system critical Sobolev space.