Selfsimilar Equivalence of Porous Medium and p-Laplacian Flows

2007/05/11 by Ariel Sánchez, Sanchez, Ariel, Vazquez, Juan-Luis
Computer Science · Mathematics · #35K55 #35K65 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Equations and Numerical Methods #FOS: Mathematics #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.0705.1714

openalex publication_date 2007/05/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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