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

Fanghua Lin; Ping Zhang

doi:10.1002/cpa.20219

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

Fanghua Lin, Ping Zhang

Mathematics

Research output: Contribution to journal › Article › peer-review

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 language	English (US)
Pages (from-to)	539-558
Number of pages	20
Journal	Communications on Pure and Applied Mathematics
Volume	61
Issue number	4
DOIs	https://doi.org/10.1002/cpa.20219
State	Published - Apr 2008

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1002/cpa.20219

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title = "On the initial-boundary value problem of the incompressible viscoelastic fluid system",

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.",

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AB - 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.

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

Abstract

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