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

DOI10.1063/1.5027189zbMath1391.76043OpenAlexW2789482596MaRDI QIDQ4635262

Gen Nakamura, Jishan Fan, Fu-Cai Li

Publication date: 16 April 2018

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.5027189

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) PDEs in connection with fluid mechanics (35Q35) Liquid crystals (76A15)

Related Items (13)

Strong solutions to the 2D Cauchy problem of compressible non-isothermal nematic liquid crystal flows with vacuum at infinity ⋮ Low Mach number limit of a compressible non-isothermal nematic liquid crystals model ⋮ \(L^\infty\) continuation principle to the compressible non-isothermal nematic liquid crystal flows with zero heat conduction and vacuum ⋮ Global solution to the compressible non-isothermal nematic liquid crystal equations with constant heat conductivity and vacuum ⋮ Global regularity to the 2D non-isothermal inhomogeneous nematic liquid crystal flows ⋮ Singularity formation to the two-dimensional compressible non-isothermal nematic liquid crystal flows in a bounded domain ⋮ Dynamics of the Ericksen-Leslie equations with general Leslie stress. II: The compressible isotropic case ⋮ Stationary solutions to the three-dimensional compressible nonisothermal nematic liquid crystal flows ⋮ The existence and uniqueness of time-periodic solutions to the non-isothermal model for compressible nematic liquid crystals in a periodic domain ⋮ Global well-posedness for a 1-D compressible non-isothermal model for nematic liquid crystals ⋮ Global well-posedness to the 3D Cauchy problem of compressible non-isothermal nematic liquid crystal flows with vacuum ⋮ Global strong solutions to the one-dimensional full compressible liquid crystal equations with temperature-dependent heat conductivity ⋮ Strong solutions to the Cauchy problem of two-dimensional compressible non-isothermal nematic liquid crystal flows with vacuum and zero heat conduction

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