Strict contractivity of the 2-Wasserstein distance for the porous medium equation by mass-centering

被引：23

作者：

Carrillo, J. A. ^{[1
]}

Di Francesco, M.

Toscani, G.

机构：

[1] Univ Autonoma Barcelona, Dept Matemat, ICREA, E-08193 Barcelona, Spain

[2] Austrian Acad Sci, Johann Radon Inst Computat & Appl Math, RICAM, A-4040 Linz, Austria

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

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2007年 / 135卷 / 02期

关键词：

porous medium equation; Barenblatt solutions; Wasserstein distance;

D O I：

10.1090/S0002-9939-06-08594-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that the Euclidean Wasserstein distance between two compactly supported solutions of the one-dimensional porous medium equation having the same center of mass decays to zero for large times. As a consequence, we detect an improved L1-rate of convergence of solutions of the one-dimensional porous medium equation towards well-centered self-similar Barenblatt profiles, as time goes to infinity.

引用

页码：353 / 363

页数：11

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