Advances in Differential Equations

On the convergence of viscoelastic fluid flows to a steady state

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

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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.

Article information

Adv. Differential Equations, Volume 7, Number 6 (2002), 717-742.

First available in Project Euclid: 27 December 2012

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 35Q35: PDEs in connection with fluid mechanics
Secondary: 35B40: Asymptotic behavior of solutions 76A10: Viscoelastic fluids 76D03: Existence, uniqueness, and regularity theory [See also 35Q30]


He, Yinnian; Lin, Yanping; Shen, Semuel S. P.; Tait, Robert. On the convergence of viscoelastic fluid flows to a steady state. Adv. Differential Equations 7 (2002), no. 6, 717--742.

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