On stability and uniqueness of fluid flow through a rigid porous medium-Reference-Cited by-同舟云学术

On stability and uniqueness of fluid flow through a rigid porous medium

Published:1984 Issue:2 Volume:42 Page:165-178
ISSN:0033-569X
Container-title:Quarterly of Applied Mathematics
language:en
Short-container-title:Quart. Appl. Math.

Author:

Pericak-Spector K. A.

Abstract

We study a set of equations describing the flow of an incompressible viscous fluid through a rigid porous medium. Existence, uniqueness and stability results are established for the case of a region impregnated with fluid, and uniqueness for an unsaturated region.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics

Link

http://www.ams.org/qam/1984-42-02/S0033-569X-1984-0745097-X/S0033-569X-1984-0745097-X.pdf

Reference24 articles.

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2. On the theory of mixtures;Williams, W. O.;Arch. Rational Mech. Anal.,1973

3. Thermodynamics of diffusing mixtures;Sampaio, R.;J. M\'{e}canique,1979

4. K. A. Pericak-Spector and W. O. Williams, On work and constraints in mixtures, ZAMP (to appear)

5. On the problem of diffusion in solids;Aifantis, E. C.;Acta Mech.,1980

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