Global Well-Posedness for a 1-D Compressible Non-isothermal Model for Nematic Liquid Crystals

In this paper, we prove global well-posedness of strong solutions to a 1-D compressible non-isothermal model for nematic liquid crystals, provided that the initial datum satisfies a natural compatibility condition. The initial density may vanish in an open subset.

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Bibliographic Details
Published in:Acta applicandae mathematicae 2020-08, Vol.168 (1), p.217-233
Main Authors: Tang, Tong, Sun, Jianzhu
Format: Article
Language:English
Subjects:
Applications of Mathematics
Calculus of Variations and Optimal Control
Optimization
Compressibility
Computational Mathematics and Numerical Analysis
Liquid crystals
Mathematical analysis
Mathematics
Mathematics and Statistics
Nematic crystals
Partial Differential Equations
Probability Theory and Stochastic Processes
Well posed problems
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Description
Summary:In this paper, we prove global well-posedness of strong solutions to a 1-D compressible non-isothermal model for nematic liquid crystals, provided that the initial datum satisfies a natural compatibility condition. The initial density may vanish in an open subset.
ISSN:0167-8019
1572-9036
DOI:10.1007/s10440-019-00285-x