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Asymptotic Behaviour of Solutions of the Porous Media Equation.

Author: L A Peletier; MINNESOTA UNIV MINNEAPOLIS SCHOOL OF MATHEMATICS.
Publisher: Ft. Belvoir Defense Technical Information Center APR 1971.
Edition/Format:   Book : English
Database:WorldCat
Summary:
A degenerate quasi-linear parabolic equation, which arises in the study of fluid flow through porous media is investigated. It is shown that the solutions of a class of mixed initial-boundary value problems in the domain x> 0, t> 0 converge upon a suitably chosen similarity solution as t approaches infinity. The rate of convergence is discussed. (Author).
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Document Type: Book
All Authors / Contributors: L A Peletier; MINNESOTA UNIV MINNEAPOLIS SCHOOL OF MATHEMATICS.
OCLC Number: 227639986
Description: 21 p.

Abstract:

A degenerate quasi-linear parabolic equation, which arises in the study of fluid flow through porous media is investigated. It is shown that the solutions of a class of mixed initial-boundary value problems in the domain x> 0, t> 0 converge upon a suitably chosen similarity solution as t approaches infinity. The rate of convergence is discussed. (Author).

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