Strong solutions to density-dependent incompressible smectic-A liquid crystal equations

In this article we study a density-dependent hydrodynamic system that models smectic-A liquid crystal flow. We establish the existence and uniqueness of local strong solutions provided that the initial density function has a positive lower bound. For more information see https://ejde.math.txstate.ed...

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Bibliographic Details
Published inElectronic journal of differential equations Vol. 2025; no. 1-??; pp. 78 - 21
Main Authors Zhang, Xue, Zhao, Xiaopeng
Format Journal Article
LanguageEnglish
Published Texas State University 24.07.2025
Subjects
incompressible smectic-a liquid crystals
local well-posedness
strong solutions
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Summary:In this article we study a density-dependent hydrodynamic system that models smectic-A liquid crystal flow. We establish the existence and uniqueness of local strong solutions provided that the initial density function has a positive lower bound. For more information see https://ejde.math.txstate.edu/Volumes/2025/78/abstr.html
ISSN:1072-6691
1072-6691
DOI:10.58997/ejde.2025.78