Seminar in EDP and Applied Mathematics

March 22, 2023 – 14h (Brazil)

Streaming: Youtube Channel | SEMINARIO DE EDP E MATEMATICA APLICADA

Event

About Seminars

Our Online Seminar is one of the most important events in Brazil, it has been held since August 2020, every Wednesday at 2 pm, Brasília time, with a frequency of 14 days. Two 40-minute lectures are presented in each session. Our speakers are world-renowned mathematicians from Europe, the United States and South America.

Featured Talks & Speakers

Juan Luis Vazquez

Universidad Autónoma de Madrid Real
Academia de Ciências – Spain

14:00h – 14:40h

Nonlinear Diffusion Equations driven by Fractional Operators. Semigroups, self-similarity and asymptotics

We will review some basic models of nonlinear diffusion driven by nonlocal operators. Then we will present some lines of recent progress in the study of p-Laplacian evolution equations both of local or nonlocal type. Existence, regularity, self-similar solutions and asymptotic behaviour are discussed.

Eduard Feireisl

Institute of Mathematics of the Academy of Sciences of the Czech Republic – Czech Republic

14:50h – 15:30h

Analysis of open fluid systems with uncertain data

We consider the Navier-Stokes-Fourier system with non-conservative boundary data. First, we discuss stability of (strong) solutions with respect to the data and conditional regularity problem. We show that the solutions remain regular as long as their amplitude is controlled. Next, we apply the abstract results to the problem of convergence of approximate (numerical) solutions with uncertain data. In particular, we address convergence of the stochastic collocation and the Monte-Carlo method.

About Organization

Juan Limaco – UFF – Brazil (Coordenador);
Mauro Rincon – UFRJ – Brazil
Max Souza – UFF – Brazil;
Sandra Malta – LNCC – Brazil
Marcelo Cavalcanti – UEM – Brazil;
Rui Almeida – UBI – Portugal
Roxana Lopez – UNMSM – Peru;
Diego Souza – U Sevilla – España;
Mauricio Sepulveda – UdeC – Chile;
Roberto Capistrano – UFPE – Brazil.