Palestras e Seminários
24/06/2020
14:00
Via Google Meet. Os interessados devem solicitar o link via email (para Este endereço de email está sendo protegido de spambots. Você precisa do JavaScript ativado para vê-lo.), até uma hora antes do seminário
Palestrante: Romain Joly
Responsável: Estefani Moraes Moreira (Este endereço de email está sendo protegido de spambots. Você precisa do JavaScript ativado para vê-lo.)
Seminários em Dinâmica não linear
Resumo: The hyperbolicity of equilibrium points and periodic orbits, as well as the transversality of the intersection of their stable and unstable manifolds, are important features from the dynamical point of view. The fact that they hold for almost all ODE is a first basic step to understand the qualitative dynamics of a generic ODE (stability and bifurcations, chaotic behaviour etc.).
In this talk, we recall what are these properties and why they are important. Then we consider the family of scalar parabolic equations and wonder if these transversality properties hold for "almost all" the parabolic PDE. We review the known results and explain the connection between this dynamical problem and pure PDE properties as unique continuation, observability, Sturm theory...
This is a joint work with Pavol Brunovsky and Genevieve Raugel.
