Selfsimilar Equivalence of Porous Medium and p-Laplacian Flows

math.AP

/ Authors

/ Abstract

We demonstrate the equivalence between the two popular models of nonlinear diffusion, the porous medium equation and the p-Laplacian equation. The equivalence is shown at the level of selfsimilar solutions.

Selfsimilar Equivalence of Porous Medium and p-Laplacian Flows

math.AP

/ Authors

Ariel Sanchez, Juan-Luis Vazquez

/ Abstract

We demonstrate the equivalence between the two popular models of nonlinear diffusion, the porous medium equation and the p-Laplacian equation. The equivalence is shown at the level of selfsimilar solutions.