Palestras e Seminários
02/12/2020
16:00
Via Google Meet: https://meet.google.com/ctq-tmee-dcc
Palestrante: Stefanie Sonner
Responsável: Estefani Moraes Moreira (Este endereço de email está sendo protegido de spambots. Você precisa do JavaScript ativado para vê-lo.)
Seminário em Dinâmica não-linear
Resumo: The stabilization of parabolic PDEs by multiplicative noise is a well known phenomenon that has been studied extensively over the past decades. However, the stabilizing effect of a noise that acts only on the boundary of a domain had not been investigated so far.
As a first model case we consider the Chafee-Infante equation with dynamical boundary conditions and analyze whether a multiplicative Itô noise on the boundary can stabilize the equation. We prove that there exists a finite range of noise intensities that imply the exponential stability of the zero steady state. Our results differ from previous works on stabilization, where the noise acts inside the domain and stabilization typically occurs for an infinite range of noise intensities.
This is joint work with Klemens Fellner, Bao Q. Tang (University of Graz) and Do D. Thuan (Hanoi University of Science and Technology).
