Finite speed of propagation in porous media by mass transportation methods |
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| Authors: | José Antonio Carrillo Maria Pia Gualdani Giuseppe Toscani |
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| Institution: | 1. Departament de Matemàtiques – ICREA, Universitat Autònoma de Barcelona, 08193 Bellaterra, Spain;2. Fachbereich Mathematik, Universität Mainz, Staudingerweg 9, 55099 Mainz, Germany;3. Dipartimento di Matematica, Università di Pavia, via Ferrata 1, 27100 Pavia, Italy |
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| Abstract: | 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. To cite this article: J.A. Carrillo et al., C. R. Acad. Sci. Paris, Ser. I 338 (2004). |
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