Seminário EDP e Matemática Aplicada
May 31, 2023 – 14h (Brazil)
Streaming: Youtube Channel
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
Pierre-Louis Lions
Collège de France Paris and CEREMADE, Université de Paris-Dauphine,France
14:00h – 14:40h
Large Random Matrices and PDE
We present in this talk a new approach to the limit behaviour of the spectra of large random matrices such as the classical Dyson or Wishart matrices. The limiting PDE’s are analysed in great generality which allows to study nonlinear systems governed by large random matrices. We also investigate the associated Large Deviations theory and the optimal control of such systems.
Isabelle Gallagher
DMA, École normale supérieure, CNRS, PSL Research University Paris, FRANCE and Université de Paris.
14:50h – 15:30h
“On the dynamics of dilute gases”
The evolution of a gas can be described by different models depending on the scale of observation. A natural question, raised by Hilbert in his sixth problem in 1900, is whether these models provide consistent predictions. In the case of gases of hard spheres, Lanford showed in 1974 that the Boltzmann equation appears as a law of large numbers in the low density limit, at least for very short times. In this talk we will present Lanford’s result, and try to explain the appearance of irreversibility in the process. We will also explain the short time limitation, which prevents from achieving the full program, namely deriving fluid mechanics equations from the system of equations for the particles.
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.
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