Traveling wave solutions of the porous medium equation with degenerate interfaces期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Traveling wave solutions of the porous medium equation with degenerate interfaces

Affiliation:	1. Univ. Lyon, INSA de Lyon, CNRS UMR 5208, Institut Camille Jordan, 20 avenue Albert Einstein, F-69621 Villeurbanne Cedex, France;2. Univ. Lyon, Institut de Nanotechnologie de Lyon, CNRS UMR 5270, Ecole Centrale de Lyon, 36 Av. Guy de Collongue, F-69134 Ecully, France;3. Univ. Lyon, Université Claude Bernard Lyon 1, CNRS UMR 5208, Institut Camille Jordan, 43 blvd. du 11 novembre 1918, F-69622 Villeurbanne cedex, France;1. Department of Physics and Department of Mathematics, Duke University, Durham, NC 27708, United States;2. Department of Mathematics and Statistics, Mississippi State University, Mississippi State, MS 39762, United States

Abstract:	We prove the existence of a one-parameter family of solutions of the porous medium equation in which the interface is a half-plane which advances at constant speed.

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