Global existence of classical solutions for some Oldroyd-B model via the incompressible limit
type: Item
instance of: scholarly article
title: Global existence of classical solutions for some Oldroyd-B model via the incompressible limit
zbMATH Open document ID: 1119.35068
author: Zhen Lei
published in: Chinese Annals of Mathematics. Series B
publication date: 2007-02-15T00:00:00Z
review text: This paper deals with a viscoelastic model, called the Oldroyd-B model. Fluids of this type have memory. The author proves that classical local solutions of the considered problem exist for sufficiently small disturbances from the general incompressible initial data. Then, uniform stability estimates and local existence of the solutions of the compressible system are obtained. Dispersive energy estimates allow to obtain a global solution for the incompressible Oldroyd system.
reviewed by: Ruxandra Stavre
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 76A05
Mathematics Subject Classification ID: 76N10
zbMATH DE Number: 5127381
zbMATH Keywords: viscoelastic model
zbMATH Keywords: memory
zbMATH Keywords: local solutions
zbMATH Keywords: global solution
MaRDI profile type: Publication
full work available at URL: s11401-005-0041-z
OpenAlex ID: W1977284327
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DOI: 10.1007/S11401-005-0041-Z
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description: scientific article; zbMATH DE number 5127381