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Fan, Jishan; Li, Fucai

Low Mach number limit of a compressible non-isothermal nematic liquid crystals model. (English) Zbl 1499.76087

Acta Math. Sci., Ser. B, Engl. Ed. 39, No. 2, 449-460 (2019).
Summary: In this paper, we study the low Mach number limit of a compressible non-isothermal model for nematic liquid crystals in a bounded domain. We establish the uniform estimates with respect to the Mach number, and thus prove the convergence to the solution of the incompressible model for nematic liquid crystals.

Cited in 5 Documents

MSC:

76N10 Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics
35Q30 Navier-Stokes equations
35Q35 PDEs in connection with fluid mechanics
76A15 Liquid crystals

Keywords:

compressible non-isothermal liquid crystals; bounded domain; low Mach number limit
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Full Text: DOI

References:

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