Palestras e Seminários
19/10/2022
14:00
Online / à distância
Palestrante: Maximilian Engel
Responsável: Phillipo Lappicy (Este endereço de email está sendo protegido de spambots. Você precisa do JavaScript ativado para vê-lo.)
Webinar on Evolution Equations and Dynamical Systems
Abstract: The talk will present recent results for pitchfork bifurcations in a stochastic reaction diffusion system perturbed by an infinite-dimensional Wiener process. It is well-known that the random attractor is a singleton, independently of the value of the bifurcation parameter; this phenomenon is often referred to as the "destruction'' of the bifurcation by the noise. However, we show that some remnant of the bifurcation persists for this SPDE model in the form of a positive finite-time Lyapunov exponent. Additionally, we prove finite-time expansion of volume with increasing dimension as the bifurcation parameter crosses further eigenvalues of the Laplacian.
Os interessados na palestra podem acessar o link e o calendário do grupo em https://sites.google.com/usp.br/evol-eq-and-dyn-systems
