[CvGmt News] [Notiziario] [Settimanale] avviso seminario di matematica prof. Benjamin Gess (20.03.2018)

[Valeria Giuliani]

SEMINARIO DI MATEMATICA



Martedì 20 marzo 2018

ore 11:00



*Scuola Normale Superiore*

Pisa

Aula Contini



  *Benjamin Gess*

*(**Max Planck Institute, Leipzig**)*



terrà un seminario dal titolo:



*“ Path-by-path regularization by noise for scalar conservation laws”*



*Abstract:*

*In this talk we will revisit regularizing effects of noise for
nonlinear SPDE. In this regard we are interested in phenomena where the
inclusion of stochastic perturbations leads to increased regularity of
solutions as compared to the unperturbed, deterministic case.
Closely related, we study effects of production of uniqueness of
solutions by noise, i.e. instances of SPDE having a unique solution, while
non-uniqueness holds for the deterministic counterparts. The talk will
concentrate on a path-by-path regularization by noise result in the case of
nonlinear scalar conservation laws. In particular, this
proves regularizing properties for scalar conservation laws
driven by fractional Brownian motion and generalizes the respective results
obtained in [G., Souganidis; Comm. Pure Appl. Math. (2017)]. We show that
$(\rho,\gamma)$-irregularity is a sufficient path-by-path condition
implying improved regularity. In addition, we introduce a
new path-by-path scaling property which is also shown to be sufficient to
imply regularizing effects*.



Tutti gli interessati sono invitati a partecipare.



Classe di Scienze Matematiche e Naturali



Valeria Giuliani
Scuola Normale Superiore
Servizio alla Didattica e Allievi
tel. 050 509260
Piazza dei Cavalieri, 7
56126 Pisa
E-mail: valeria.giuliani at sns.it
E-mail: classi at sns.it

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