Finite speed of propagation in porous media by mass transportation methods

被引：29

作者：

Carrillo, JA ^{[1
]}

Gualdani, MP

Toscani, G

机构：

[1] Univ Autonoma Barcelona, ICREA, Dept Math, Bellaterra 08193, Spain

[2] Univ Mainz, Fachbereich Math, D-55099 Mainz, Germany

[3] Univ Pavia, Dipartimento Matemat, I-27100 Pavia, Italy

来源：

COMPTES RENDUS MATHEMATIQUE | 2004年 / 338卷 / 10期

关键词：

D O I：

10.1016/j.crma.2004.03.025

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this Note we make use of mass transportation techniques to give a simple proof of the finite speed of propagation of the solution to the one-dimensional porous medium equation. The result follows by showing that the difference of support of any two solutions corresponding to different compactly supported initial data is a bounded in time function of a suitable Monge-Kantorovich related metric. (C) 2004, Academie des sciences. Published by Elsevier SAS. All rights reserved.

引用

页码：815 / 818

页数：4

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