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A remark on global strong solution of two‐dimensional inhomogeneous nematic liquid crystal flows in a bounded domain
Author(s) -
Zhong Xin
Publication year - 2021
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201900218
Subject(s) - liquid crystal , bounded function , mathematics , domain (mathematical analysis) , compressibility , boundary value problem , orientation (vector space) , mathematical analysis , condensed matter physics , geometry , mechanics , physics
We study an initial boundary value problem of two‐dimensional (2D) inhomogeneous incompressible nematic liquid crystal flows with nonnegative density. It is proved that there exists a unique global strong solution provided that the initial orientation satisfies a geometric condition.