Probability and PDEs

May 20 2013 - 00:00
May 24 2013 - 23:59
Venue: 

Centro di Ricerca Matematica Ennio De Giorgi, Palazzo Puteano, Piazza dei Cavalieri 3, 56100 PISA, Italy

Short description of the event: 

This workshop aims to bring together researchers interested in the interaction between probability and PDEs. Particular interest will be devoted to the regularizing effect that comes from both: randomization of initial data and/or introduction of noise.

There is no registration fee, but preliminary registration is required. For registration please link to http://www.crm.sns.it/event/284/registration.html

Some funds are available to offer financial support to a number of selected young researchers and students. Applications can be made at http://crm.sns.it/event/284/financial.html Deadline for applications is 31st March 2013.

This workshop is hosted by the Centro di Ricerca Matematica Ennio De Giorgi and it is also supported by:

ERC Starting grant Dispeq (agreement number 257293); FIRB 2012 "Dinamiche dispersive: Analisi di Fourier e Metodi Variazionali"; PRIN 2012"Problemi differenziali di evoluzione: approcci deterministici e stocastici e loro interazioni".

It is well--known that randomization of initial data allows to achieve local and global well--posedness results at lower regularity compared with the ones that one can reach by the deterministic theory.
Strictly related is the question of existence of invariant measures for the corresponding PDEs.
It is also well--known in the literature that noise has a strong regularizing effect on finite dimensional ODEs. For PDEs similar results are more difficult, but examples have been discovered where uniqueness of weak solutions is restored by noise, and blow-up is prevented by noise. A related problem is the selection of solutions to a deterministic problem when the noise is sent to zero. The main goal of this meeting is to disseminate information about the various recent techniques related to the aforementioned questions.

Invited speakers are: Luigi Ambrosio (Scuola Normale Superiore, Pisa), Yuri Bakhtin (Georgia Institute of Technology), Hakima Bessaih (University of Wyoming, Department of Mathematics), Nicolas Burq (Universite Paris Sud Orsay), Ana Bela Cruzeiro(Universidade de Lisboa), Giuseppe Da Prato (Scuola Normale Superiore, Pisa), Anne-Sophie De Suzzoni (Universite' de Cergy Pontoise), Yu Deng (Princeton University), Nicolas Dirr (Max-Planck-Institut für Mathematik), Christophe Gomez (Stanford
university), Massimiliano Gubinelli (Dipartimento di Matematica Applicata, Università di Pisa), Sergei Kuksin (Ecole Polytecnique), Laurent Michel (Universite'de Nice), Carl Muller(University of Rochester), Matteo Novaga (Dipartimento di Matematica, Università di
Padova), Enrico Priola (Dipartimento di Matematica, Universita' di Torino), Marco Romito (Università di Firenze), Gigliola Staffilani (to be confirmed) MIT, Oh Tadahiro (Princeton University), Julienne Vovelle (Université Claude Bernard Lyon 1).

The scientific activity will start on Monday 20th May in the afternoon and end on Friday 24th May in the morning. The programme will be made available in due course at http://www.crm.sns.it/event/284/timetable.html#title