Seminar in EDP and Applied Mathematics

August 7th , 2024 – 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

Yue Wang

Department of Mathematics, FAU Erlangen-Nürnberg-Germany

14:00h – 14:40h

Random Batch Methods for Optimal Control of Networked 1D Hyperbolic Systems

Optimal control for networks of hyperbolic systems is important in many
applications, such as gas networks, flexible multi-body systems, and
water networks. However, solving such optimal control problems can be
computationally demanding when the network is large or contains loops.
In this talk, we present new convergence results for the simulation and
optimal control of 1D hyperbolic systems by the Random Batch Method
(RBM). The RBM is a recently proposed randomized operator-splitting
technique inspired by the successes of stochastic algorithms in machine
learning [Shi Jin, Lei Li, Jian-Guo Liu, J. of Comp. Phys. , 2020]. The
results in this talk are the first extension of the analysis for
finite-dimensional optimal control problems in [Veldman, Zuazua, Numer.Math., 2022] to hyperbolic partial differential equations. A numerical example for a network with loops shows that the proposed method reduces the computational cost significantly.

Laurent Prouvée

Universidade Estadual do Rio de Janeiro UERJ-Brazil

14:50h – 15:30h

Local and global null controllability of a nonlinear
parabolic system with a multiplicative control in moving
domains

This presentation deals with the local and global null controllability of a nonlinear parabolic coupled system in a domain whose boundary moves in time by a control force with a multiplicative part acting on a prescribed subdomain. Our approach relies on an application of Liusternik’s inverse
mapping theorem that demands the proof of suitable Carleman estimate.

About Organization

Juan Limaco -UFF-Coordenador
Mauro Rincon – UFRJ – Brazil
Anna Doubova-U.Sevilla-Spain

Luz de Teresa-UNAM Mexico

Diego Souza – U Sevilla -Spain

Felipe Chaves-UFPB-Brazil

Roberto Capistrano – UFPE Brazil
Sandra Malta – LNCC – Brazil
Marcelo Cavalcanti – UEM – Brazil;
Rui Almeida – UBI – Portugal
Roxana Lopez – UNMSM – Peru;
Mauricio Sepulveda – UdeC -Chile;