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1995 Existence, uniqueness, and stability of solutions to the initial-boundary value problem for bipolar viscous fluids
Hamid Bellout, Frederick Bloom, Jindřich Nečas
Differential Integral Equations 8(2): 453-464 (1995).

Abstract

We obtain, via a Galerkin argument, the existence of a unique weak solution to the initial-boundary value problem for an incompressible bipolar viscous fluid satisfying nonhomogeneous boundary conditions. The analysis depends on the derivation of several key a priori estimates. Regularity results are also established and the solution is proven to be asymptotically stable when the forcing function and initial and boundary data decay in an appropriate sense.

Citation

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Hamid Bellout. Frederick Bloom. Jindřich Nečas. "Existence, uniqueness, and stability of solutions to the initial-boundary value problem for bipolar viscous fluids." Differential Integral Equations 8 (2) 453 - 464, 1995.

Information

Published: 1995
First available in Project Euclid: 20 May 2013

zbMATH: 0831.35135
MathSciNet: MR1296135

Subjects:
Primary: 35Q35
Secondary: 76A05, 76D99, 76E99

Rights: Copyright © 1995 Khayyam Publishing, Inc.

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Vol.8 • No. 2 • 1995
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