On the initial-boundary value problem of the incompressible viscoelastic fluid system

Fang-Hua Lin, Ping Zhang

Research output: Contribution to journalArticle

Abstract

In this paper, we shall establish the local well-posedness of the initial-boundary value problem of the viscoelastic fluid system of the Oldroyd model. We shall also prove that the local solutions can be extended globally and that the global solutions decay exponentially fast as time goes to infinity provided that the initial data are sufficiently close to the equilibrium state.

Original languageEnglish (US)
Pages (from-to)539-558
Number of pages20
JournalCommunications on Pure and Applied Mathematics
Volume61
Issue number4
DOIs
StatePublished - Apr 2008

Fingerprint

Local Well-posedness
Viscoelastic Fluid
Local Solution
Equilibrium State
Global Solution
Incompressible Fluid
Initial-boundary-value Problem
Boundary value problems
Infinity
Decay
Fluids
Model

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

On the initial-boundary value problem of the incompressible viscoelastic fluid system. / Lin, Fang-Hua; Zhang, Ping.

In: Communications on Pure and Applied Mathematics, Vol. 61, No. 4, 04.2008, p. 539-558.

Research output: Contribution to journalArticle

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