Local well-posedness for a compressible non-isothermal model for nematic liquid crystals

Local well-posedness for a compressible non-isothermal model for nematic liquid crystals

In this paper, we prove the local well-posedness of strong solutions to a compressible non-isothermal model for nematic liquid crystals in a bounded domain Ω⊂R3 provided that the initial data satisfy a natural compatibility condition. The assumption on the positivity of initial density is not needed...

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Veröffentlicht in:Journal of mathematical physics 2018-03, Vol.59 (3)
Hauptverfasser: Fan, Jishan, Li, Fucai, Nakamura, Gen
Format: Artikel
Sprache:eng
Schlagworte:
Compressibility
Crystals
Density
Fluids
Liquid crystals
Nematic crystals
Physics
Well posed problems
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Zusammenfassung:In this paper, we prove the local well-posedness of strong solutions to a compressible non-isothermal model for nematic liquid crystals in a bounded domain Ω⊂R3 provided that the initial data satisfy a natural compatibility condition. The assumption on the positivity of initial density is not needed here, and it may vanish in an open subset of Ω.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.5027189