Local well-posedness of nonhomogeneous incompressible liquid crystals model without compatibility condition

This paper is concerned with the nonhomogeneous incompressible model for the nematic liquid crystals in a smooth bounded domain Ω⊂R3 with vacuum being allowed. Compared with the results before, we proof the local existence of a unique strong solution without assuming any compatibility condition to t...

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Bibliographic Details
Published in:Nonlinear analysis: real world applications 2022-06, Vol.65, p.103474, Article 103474
Main Authors: Li, Quanrong, Wang, Cuiyu
Format: Article
Language:English
Subjects:
Compatibility condition
Local well-posedness
Nematic liquid crystals
Nonhomogeneous flows
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Summary:This paper is concerned with the nonhomogeneous incompressible model for the nematic liquid crystals in a smooth bounded domain Ω⊂R3 with vacuum being allowed. Compared with the results before, we proof the local existence of a unique strong solution without assuming any compatibility condition to the initial data.
ISSN:1468-1218
1878-5719
DOI:10.1016/j.nonrwa.2021.103474