Asymptotic Behaviour of Solutions of the Porous Media Equation.
MINNESOTA UNIV MINNEAPOLIS SCHOOL OF MATHEMATICS
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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
- Theoretical Mathematics
- Fluid Mechanics