Intermediate asymptotics of the porous medium equation with sign changes

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.

Article information

Source
Adv. Differential Equations Volume 6, Number 9 (2001), 1115-1152.

Dates
First available in Project Euclid: 2 January 2013