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 A v v i s o   d i   S e m i n a r i o
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Venerdì 28 Novembre, ore 10
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Stanza 34
Dipartimento di Scienze Statistiche
Sapienza Università di Roma

PROF. CORRADO MASCIA
(Dipartimento di Matematica "G. Castelnuovo", Sapienza Università di Roma)

terrà un seminario dal titolo:

Parabolic behavior of hyperbolic systems describing velocity-jump processes

Abstract:

The talk concerns with the large-time behavior of a class of

hyperbolic systems of partial differential equations and its relation

with corresponding (reduced) parabolic equations. The basic prototype

is the Goldstein-Kac model for correlated random walks, interpreted as

a variation of the classical heat equation.

Areas of interest of the topic will be presented, together with a

selection of known rigorous mathematical results available in the

literature. Additionally, the asymptotic description of a

generalization of the Goldstein-Kac model to an arbitrary number of

speeds in several dimensions (based on an application of a variant of

the Kirchoff’s matrix tree Theorem from graph theory) will be

presented in details.

Tutti gli interessati sono invitati a partecipare.

Saluti

Alessandro De Gregorio