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Fast diffusion equations: Matching large time asymptotics by relative entropy methods (Articolo in rivista)
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- Label
- Fast diffusion equations: Matching large time asymptotics by relative entropy methods (Articolo in rivista) (literal)
- Anno
- 2011-01-01T00:00:00+01:00 (literal)
- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
- 10.3934/krm.2011.4.701 (literal)
- Alternative label
Dolbeault, Jean ; Toscani, Giuseppe (2011)
Fast diffusion equations: Matching large time asymptotics by relative entropy methods
in Kinetic & related models; American Institute of Mathematical Sciences, Springfield [MO] (Stati Uniti d'America)
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- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
- Dolbeault, Jean ; Toscani, Giuseppe (literal)
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- ISI Web of Science (WOS) (literal)
- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
- Ceremade (UMR CNRS no. 7534), Université Paris-Dauphine Place de Lattre de Tassigny, Paris, France;
Università di Pavia, Dipartimento di Matematica, Pavia (literal)
- Titolo
- Fast diffusion equations: Matching large time asymptotics by relative entropy methods (literal)
- Abstract
- 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. (literal)
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