Inoltro avviso di Seminario a me pervenuto. Cordiali saluti Liviana Paoletti ----- Original Message ----- From: Valeria Giuliani Sent: Monday, June 20, 2011 11:56 AM Subject: avviso seminario di matematica Prof. Michael Roeckner (28.06.2011)

SEMINARIO DI MATEMATICA

Martedì 28 giugno 2011

Ore 15.00

Scuola Normale Superiore

Pisa

(Aula Bianchi)

Prof. Michael Roeckner

University of Bielefeld

Terrà un seminario dal titolo:

"Recent extinction results for stochastic porous

media equations and applications to self-organized criticality"

Abstract:

The first part of the talk will recall extinction results for stochastic partial dif- ferential equations (with multiplicative noise) of porous media type. These include stochastic fast diffusion equations and more singular cases, where e.g. the non- linearity is given by a Heaviside or sign function, so is multivalued. The latter describe certain continuum models for the phenomenon of self-organized criticality (SOC). These extinction results have been obtained in the past two years. In the SOC-case, however, extinction was only shown if the underlying spatial domain is one-dimensional and only with positive (though high) probability. The second part of the talk is devoted to very recent results, where for the SOC-case asymptotic ex- tinction was proved for all spatial dimensions and shown to be locally exponentially fast. One main technique in the proofs is to transform the stochastic PDE into a deterministic PDE with a random parameter. The resulting deterministic PDE is of an entirely new type and new methods had to be invented for its analysis.

Tutti gli interessati sono invitati a partecipare.

Classe di Scienze

-------------------------------------------------------------------------------- Valeria Giuliani Scuola Normale Superiore Servizio Supporto Attività Didattiche - Scienze Tel. 050-509260 Fax. 050-509045 Piazza dei Cavalieri, 7 56126 Pisa E-Mail: v.giuliani@sns.it E-Mail: segreteria.scienze@sns.it

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