Strict Contractivity of the 2-wasserstein Distance for the Porous Medium Equation by Mass-centering
نویسنده
چکیده
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.
منابع مشابه
The Porous Medium Equation. New contractivity results
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تاریخ انتشار 2004