Accession Number : AD0729672

Title :   Asymptotic Behaviour of Solutions of the Porous Media Equation.

Descriptive Note : Technical rept.,

Corporate Author : MINNESOTA UNIV MINNEAPOLIS SCHOOL OF MATHEMATICS

Personal Author(s) : Peletier,L. A.

Report Date : APR 1971

Pagination or Media Count : 21

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)

Descriptors :   (*LAMINAR FLOW, POROUS MATERIALS), (*BOUNDARY VALUE PROBLEMS, ASYMPTOTIC SERIES), INTEGRAL EQUATIONS, INTEGRATION, NUMERICAL ANALYSIS, SET THEORY, CONVERGENCE, THEOREMS, GAS FLOW

Subject Categories : Theoretical Mathematics
      Fluid Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE