Seminar in EDP and Applied Mathematics

April 19, 2023 – 14h (Brazil)

Streaming: Youtube Channel | SEMINARIO DE EDP E MATEMATICA APLICADA

Event

WhatsApp Image 2023-04-14 at 12.40.33 (1)

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

Carlos Kenig

University of Chicago (USA)

Text14:00h – 14:40h

Channels of energy

We will discuss the role of non-radiative solutions to nonlinear wave equations, in connection with soliton resolution. Using new channels of energy estimates we characterize all radial non-radiative solutions for a general class of nonlinear wave equations. This is joint work with C.Collot, T. Duyckaerts and F. Merle.

Francisco Gancedo

Universidad de Sevilla-Spain

14:50h – 15:30h

Global-in-time dynamics for one-phase Muskat and two-phase Stokes gravity waves

In this talk we consider the evolution of an interface
evolving by an incompressible flow. On the one hand, we study the
one-phase Muskat problem, where the fluid is filtered in a porous
medium. In the gravity-stable case, we show that initial Lipschitz
graphs of arbitrary size provide global-in-time well-posedness. On the
other hand, we study the interface dynamics given by two fluids of
different densities evolving by the linear Stokes law. We show stability
to the flat stable case and exponential growth in the unstable regime.

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.