Intermediate asymptotics of the porous medium equation with sign changes

Josephus Hulshof, John R. King, Mark Bowen

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

We study the porous medium equation with sign changes and examine the way sign changes disappear. We give a formal classification of self-similar and non-self-similar scenarios for their disappearance, for N >1, restricting attention to the radial case. The results we present on the classification of similarity solutions are rigorous except where indicated otherwise.

Original languageEnglish
Pages (from-to)1115-1152
Number of pages38
JournalAdvances in Differential Equations
Volume6
Issue number9
Publication statusPublished - 2001
Externally publishedYes

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Porous Medium Equation
Sign Change
Porous materials
Similarity Solution
Scenarios

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Cite this

Intermediate asymptotics of the porous medium equation with sign changes. / Hulshof, Josephus; King, John R.; Bowen, Mark.

In: Advances in Differential Equations, Vol. 6, No. 9, 2001, p. 1115-1152.

Research output: Contribution to journalArticle

Hulshof, Josephus ; King, John R. ; Bowen, Mark. / Intermediate asymptotics of the porous medium equation with sign changes. In: Advances in Differential Equations. 2001 ; Vol. 6, No. 9. pp. 1115-1152.
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