Domani si terrà all'università di Trento e in via telematica un seminario di Zdzislaw Brzezniak. Tutte le informazioni a seguire.
Saluti, Michele
Stochastic wave equations with constraints: well-posedness and Smoluchowski-Kramers diffusion approximation
*Luogo:* l'evento si terrà in presenza in Aula Seminari "1" a Povo0 e per via telematica attraverso collegamento alla piattaforma Zoom; per partecipare sarà necessario collegarsi al link seguente e inserire i codici di accesso (da condividere solo con contatti fidati): https://unitn.zoom.us/j/82578903026 Topic: Trento Probability Seminars Meeting ID: 825 7890 3026 Passcode: 978062
*Data:* Mercoledì 4 ottobre *Ore:* 17:00
*Relatore:*
- *Zdzislaw Brzezniak* (University of York)
*Abstract: * I will discuss the well-posedness of a class of stochastic second-order in time-damped evolution equations in Hilbert spaces, subject to the constraint that the solution lies on the unit sphere. A specific example is provided by the stochastic damped wave equation in a bounded domain of a $d$-dimensional Euclidean space, endowed with the Dirichlet boundary conditions, with the added constraint that the $L^2$-norm of the solution is equal to one. We introduce a small mass $\mu>0$ in front of the second-order derivative in time and examine the validity of the Smoluchowski-Kramers diffusion approximation. We demonstrate that, in the small mass limit, the solution converges to the solution of a stochastic parabolic equation subject to the same constraint. We further show that an extra noise-induced drift emerges, which in fact does not account for the Stratonovich-to-It^{o} correction term. This talk is based on joint research with S. Cerrai (Maryland).
*Referenti*: Stefano Bonaccorsi, Michele Coghi, Luigi Amedeo Bianchi
Per conoscere i prossimi eventi è possibile consultare la pagina *https://webmagazine.unitn.it/ciclo/dmath/118024/trento-probability-seminars-... https://webmagazine.unitn.it/ciclo/dmath/118024/trento-probability-seminars-20232024*
Gli eventi passati si trovano alla pagina *https://webmagazine.unitn.it/ciclo/dmath/114273/trento-probability-seminars-... https://webmagazine.unitn.it/ciclo/dmath/114273/trento-probability-seminars-20222023*