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arxiv: 0705.1714 · v1 · submitted 2007-05-11 · 🧮 math.AP

Selfsimilar Equivalence of Porous Medium and p-Laplacian Flows

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keywords equivalenceequationmediump-laplacianporousselfsimilardemonstratediffusion
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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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