Stationary Solutions to the Three-Dimensional Compressible Nonisothermal Nematic Liquid Crystal Flows

In this paper, we study the stationary compressible nonisothermal nematic liquid crystal flows affected by the external force of general form in three-dimensional space. By using the contraction mapping principle, we prove the existence and uniqueness of strong solution around the constant state in...

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Main Authors: Wanchen Cui, Hong Cai
Format: Article
Language:English
Published: Wiley 2022-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2022/4695308
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author Wanchen Cui
Hong Cai
author_facet Wanchen Cui
Hong Cai
author_sort Wanchen Cui
collection DOAJ
description In this paper, we study the stationary compressible nonisothermal nematic liquid crystal flows affected by the external force of general form in three-dimensional space. By using the contraction mapping principle, we prove the existence and uniqueness of strong solution around the constant state in some suitable function space.
format Article
id doaj-art-d9a81a3429fa4acd9281e69d57f1d4e8
institution Kabale University
issn 1687-9139
language English
publishDate 2022-01-01
publisher Wiley
record_format Article
series Advances in Mathematical Physics
spelling doaj-art-d9a81a3429fa4acd9281e69d57f1d4e82025-02-03T06:13:33ZengWileyAdvances in Mathematical Physics1687-91392022-01-01202210.1155/2022/4695308Stationary Solutions to the Three-Dimensional Compressible Nonisothermal Nematic Liquid Crystal FlowsWanchen Cui0Hong Cai1School of Mathematics and PhysicsSchool of Mathematics and PhysicsIn this paper, we study the stationary compressible nonisothermal nematic liquid crystal flows affected by the external force of general form in three-dimensional space. By using the contraction mapping principle, we prove the existence and uniqueness of strong solution around the constant state in some suitable function space.http://dx.doi.org/10.1155/2022/4695308
spellingShingle Wanchen Cui
Hong Cai
Stationary Solutions to the Three-Dimensional Compressible Nonisothermal Nematic Liquid Crystal Flows
Advances in Mathematical Physics
title Stationary Solutions to the Three-Dimensional Compressible Nonisothermal Nematic Liquid Crystal Flows
title_full Stationary Solutions to the Three-Dimensional Compressible Nonisothermal Nematic Liquid Crystal Flows
title_fullStr Stationary Solutions to the Three-Dimensional Compressible Nonisothermal Nematic Liquid Crystal Flows
title_full_unstemmed Stationary Solutions to the Three-Dimensional Compressible Nonisothermal Nematic Liquid Crystal Flows
title_short Stationary Solutions to the Three-Dimensional Compressible Nonisothermal Nematic Liquid Crystal Flows
title_sort stationary solutions to the three dimensional compressible nonisothermal nematic liquid crystal flows
url http://dx.doi.org/10.1155/2022/4695308
work_keys_str_mv AT wanchencui stationarysolutionstothethreedimensionalcompressiblenonisothermalnematicliquidcrystalflows
AT hongcai stationarysolutionstothethreedimensionalcompressiblenonisothermalnematicliquidcrystalflows