[CvGmt News] avviso seminario di matematica Prof. Michael Roeckner (28.06.2011)

[Valeria Giuliani]

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 at sns.it 
E-Mail: segreteria.scienze at sns.it

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Grazie.

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