Palestras e Seminários
01/09/2021
11:00
virtual/à distância
Palestrante: Pedro T. P. Lopes
https://sites.google.com/usp.br/evol-eq-and-dyn-systems
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
The Cahn-Hilliard equation has been widely studied. Results on global solutions, existence of attractors and convergence to the equilibrium can be found in classical papers and monographs. Those results have been generalized in many directions, for instance, for different potentials and boundary conditions. However, a topic that has not yet been fully explored is how the regularity of a surface or a domain affects the dynamical properties of the solutions. In this presentation, we restrict our study to the most classical version of the Cahn-Hilliard equation and to one of the simplest types of singularities on a surface or a domain: the conical singularity. We show how new results on complex interpolation and Lp-regularity, obtained using pseudodifferential operators, can be combined with classical approaches in order to understand the dynamics of the solutions in this context. Joint work with Nikolaos Roidos (Patras University).
