Stability of two-dimensional heat-conducting incompressible motions in a cylinder
type: Item
instance of: scholarly article
title: Stability of two-dimensional heat-conducting incompressible motions in a cylinder
zbMATH Open document ID: 1326.35293
author: E. Zadrzyńska
author: Wojciech M. Zajączkowski
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2015-09-09T00:00:00Z
review text: The authors study the motion of an incompressible heat-conducting fluid described by the Rayleigh-Benard equations in a cylinder with the external (non-autonomous) force depending on the temperature. The existence of a global strong two-dimensional solution is proved. Then, the stability of such two-dimensional solutions in the set of three-dimensional solutions is shown.
reviewed by: Piotr Biler
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 76D03
Mathematics Subject Classification ID: 76R10
Mathematics Subject Classification ID: 35B35
Mathematics Subject Classification ID: 35D35
zbMATH DE Number: 6479772
zbMATH Keywords: incompressible heat-conducting fluid
zbMATH Keywords: Rayleigh-Benard equations
zbMATH Keywords: global strong solutions
zbMATH Keywords: stability of two-dimensional solution
MaRDI profile type: Publication
full work available at URL: j.na.2015.05.014
OpenAlex ID: W951906636
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DOI: 10.1016/J.NA.2015.05.014
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description: scientific article; zbMATH DE number 6479772