On an Oberbeck-Boussinesq model relating to the motion of a viscous fluid subject to heating

This article surveys some results in the study of Iannelli [ , Fisica Matematica, Istituto Lombardo (rend. Sc.) A (1987), 145–191], in which the motion of a viscous, compressible fluid in a two-dimensional domain, subject to heating at the walls, is studied. A global existence and uniqueness theorem...

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Published inOpen mathematics (Warsaw, Poland) Vol. 22; no. 1; pp. 297 - 306
Main Author Iannelli, Angela
Format Journal Article
LanguageEnglish
Published Warsaw De Gruyter 26.08.2024
De Gruyter Poland
Subjects
35Q30
35Q35
Asymptotic properties
Boussinesq equations
Compressible fluids
Domain walls
Heating
Oberbeck-Boussinesq model
Time dependence
Uniqueness theorems
viscous fluid
Viscous fluids
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Summary:This article surveys some results in the study of Iannelli [ , Fisica Matematica, Istituto Lombardo (rend. Sc.) A (1987), 145–191], in which the motion of a viscous, compressible fluid in a two-dimensional domain, subject to heating at the walls, is studied. A global existence and uniqueness theorem for the time-dependent problem is given, and also, under more stringent assumptions, an existence and uniqueness theorem in the stationary case is given. A theorem on the asymptotic behavior for of the time-dependent solutions is proved.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
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ISSN:2391-5455
2391-5455
DOI:10.1515/math-2024-0032