On hydrodynamics of viscoelastic fluids

Fang-Hua Lin, Chun Liu, Ping Zhang

Research output: Contribution to journalArticle

Abstract

In this paper, we study a hydrodynamic system describing fluids with viscoelastic properties. After a brief examination of the relations between several models, we shall concentrate on a few analytical issues concerning them. In particular, we establish local existence and global existence (with small initial data) of classical solutions for an Oldroyd system without an artificially postulated damping mechanism.

Original languageEnglish (US)
Pages (from-to)1347-1471
Number of pages125
JournalCommunications on Pure and Applied Mathematics
Volume58
Issue number11
StatePublished - Nov 2005

Fingerprint

Viscoelastic Fluid
Hydrodynamics
Damping
Fluids
Local Existence
Classical Solution
Global Existence
Fluid
Model

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

On hydrodynamics of viscoelastic fluids. / Lin, Fang-Hua; Liu, Chun; Zhang, Ping.

In: Communications on Pure and Applied Mathematics, Vol. 58, No. 11, 11.2005, p. 1347-1471.

Research output: Contribution to journalArticle

Lin, F-H, Liu, C & Zhang, P 2005, 'On hydrodynamics of viscoelastic fluids', Communications on Pure and Applied Mathematics, vol. 58, no. 11, pp. 1347-1471.
Lin, Fang-Hua ; Liu, Chun ; Zhang, Ping. / On hydrodynamics of viscoelastic fluids. In: Communications on Pure and Applied Mathematics. 2005 ; Vol. 58, No. 11. pp. 1347-1471.
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