Palestras e Seminários
13/11/2019
14:00
Sala 4-003
Palestrante: Tito Luciano Mamani Luna
Responsável: Estefani Moraes Moreira (Este endereço de email está sendo protegido de spambots. Você precisa do JavaScript ativado para vê-lo.)
Seminário em diâmica não-linear
Título: Well posedness and asymptotic behavior of parabolic problem with non local term and flux type boundary condition
Resumo: The purpose of this lecture is dedicated to the study of existence, uniqueness, continuous dependence and asymptotic behavior of the solution to parabolic problem with non local term and flux type boundary condition.
Concerning asymptotic behavior, we show that the omega limit set of each orbit contains at least one stationary solution. We then study stability of local minimum of the associated energy functional showing first a result on asymptotic stability of a global minimum for the energy. We also prove a sufficient condition for the existence of isolated local minimum of the energy functional, which is proved to be an asymptotically stable stationary solution in a suitable neighborhood.
