Asymptotic Behaviour of Solutions of the Porous Media Equation.

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)

Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1971
Accession Number
AD0729672

Entities

People

  • L. A. Peletier

Organizations

  • University of Minnesota

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Value Problems
  • Convergence
  • Differential Equations
  • Equations
  • Flow
  • Fluid Flow

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Computational Fluid Dynamics (CFD)