Fast diffusion equations: matching large time asymptotics by relative entropy methods - Archive ouverte HAL
Article Dans Une Revue Kinetic and Related Models Année : 2011

Fast diffusion equations: matching large time asymptotics by relative entropy methods

Giuseppe Toscani
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Résumé

A non self-similar change of coordinates provides improved matching asymptotics of the solutions of the fast diffusion equation for large times, compared to already known results, in the range for which Barenblatt solutions have a finite second moment. The method is based on relative entropy estimates and a time-dependent change of variables which is determined by second moments, and not by the scaling corresponding to the self-similar Barenblatt solutions, as it is usually done.
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Dates et versions

hal-00482898 , version 1 (11-05-2010)
hal-00482898 , version 2 (04-05-2011)

Identifiants

Citer

Jean Dolbeault, Giuseppe Toscani. Fast diffusion equations: matching large time asymptotics by relative entropy methods. Kinetic and Related Models , 2011, 4 (3), pp.701-716. ⟨hal-00482898v2⟩
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