Global well-posedness of non-isothermal inhomogeneous nematic liquid crystal flows

Autor:	Yao Xiao, Dongfen Bian
Rok vydání:	2021
Předmět:	Physics Liquid crystal Thermodynamic equilibrium Applied Mathematics Bounded function Mathematical analysis Mathematics::Analysis of PDEs Compressibility Harmonic map Discrete Mathematics and Combinatorics Perturbation (astronomy) Parabolic partial differential equation Isothermal process
Zdroj:	Discrete & Continuous Dynamical Systems - B. 26:1243-1272
ISSN:	1553-524X
DOI:	10.3934/dcdsb.2020161
Popis:	In this paper, we consider the initial-boundary value problem to the non-isothermal incompressible liquid crystal system with both variable density and temperature. Global well-posedness of strong solutions is established for initial data being small perturbation around the equilibrium state. As the tools in the proof, we establish the maximal regularities of the linear Stokes equations and parabolic equations with variable coefficients and a rigid lemma for harmonic maps on bounded domains. This paper also generalizes the result in [ 5 ] to the inhomogeneous case.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::98176df7d6fd3c880aac03a00d1b15ff https://doi.org/10.3934/dcdsb.2020161 Zobrazit plný text záznamu