Advances in Differential Equations
- Adv. Differential Equations
- Volume 6, Number 9 (2001), 1115-1152.
Intermediate asymptotics of the porous medium equation with sign changes
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.
Adv. Differential Equations Volume 6, Number 9 (2001), 1115-1152.
First available in Project Euclid: 2 January 2013
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 35K70: Ultraparabolic equations, pseudoparabolic equations, etc.
Secondary: 35B40: Asymptotic behavior of solutions 35K57: Reaction-diffusion equations 35K65: Degenerate parabolic equations 76S05: Flows in porous media; filtration; seepage
Hulshof, Josephus; King, John R.; Bowen, Mark. Intermediate asymptotics of the porous medium equation with sign changes. Adv. Differential Equations 6 (2001), no. 9, 1115--1152. https://projecteuclid.org/euclid.ade/1357140405.