On the convergence of viscoelastic fluid flows to a steady state

Yinnian He; Yanping Lin; Semuel S.P. Shen; Robert Tait

On the convergence of viscoelastic fluid flows to a steady state

Yinnian He, Yanping Lin, Semuel S.P. Shen, Robert Tait

Research output: Journal article publication › Journal article › Academic research › peer-review

Abstract

The initial-boundary value problems describing motion of a two-dimensional viscoelastic fluid are investigated by using the methods of variational formulation and inequality estimates. Both the exponential and power convergence of the solutions to a steady state solution of the viscoelastic fluid flows are proved under prescribed conditions. The convergences to a stead state solution of the Navier-Stokes flows is a special case of the results.

Original language	English
Pages (from-to)	717-742
Number of pages	26
Journal	Advances in Differential Equations
Volume	7
Issue number	6
Publication status	Published - 1 Dec 2002
Externally published	Yes

ASJC Scopus subject areas

Analysis
Applied Mathematics

Cite this

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title = "On the convergence of viscoelastic fluid flows to a steady state",

abstract = "The initial-boundary value problems describing motion of a two-dimensional viscoelastic fluid are investigated by using the methods of variational formulation and inequality estimates. Both the exponential and power convergence of the solutions to a steady state solution of the viscoelastic fluid flows are proved under prescribed conditions. The convergences to a stead state solution of the Navier-Stokes flows is a special case of the results.",

author = "Yinnian He and Yanping Lin and Shen, {Semuel S.P.} and Robert Tait",

year = "2002",

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T1 - On the convergence of viscoelastic fluid flows to a steady state

AU - He, Yinnian

AU - Lin, Yanping

AU - Shen, Semuel S.P.

AU - Tait, Robert

PY - 2002/12/1

Y1 - 2002/12/1

N2 - The initial-boundary value problems describing motion of a two-dimensional viscoelastic fluid are investigated by using the methods of variational formulation and inequality estimates. Both the exponential and power convergence of the solutions to a steady state solution of the viscoelastic fluid flows are proved under prescribed conditions. The convergences to a stead state solution of the Navier-Stokes flows is a special case of the results.

AB - The initial-boundary value problems describing motion of a two-dimensional viscoelastic fluid are investigated by using the methods of variational formulation and inequality estimates. Both the exponential and power convergence of the solutions to a steady state solution of the viscoelastic fluid flows are proved under prescribed conditions. The convergences to a stead state solution of the Navier-Stokes flows is a special case of the results.

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M3 - Journal article

SN - 1079-9389

VL - 7

SP - 717

EP - 742

JO - Advances in Differential Equations

JF - Advances in Differential Equations

IS - 6

ER -

On the convergence of viscoelastic fluid flows to a steady state

Abstract

ASJC Scopus subject areas

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