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

J. A. Carrillo, M. Di Francesco, G. Toscani

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21 Citas (Scopus)

Resumen

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. © 2006 American Mathematical Society.
Idioma originalInglés
Páginas (desde-hasta)353-363
PublicaciónProceedings of the American Mathematical Society
Volumen135
N.º2
DOI
EstadoPublicada - 1 feb 2007

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