Seminar in EDP and Applied Mathematics
september 6, 2023 – 10h (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
Yihong Du
University of New England –Australia
10:00h – 10:40h
Long-time dynamics of two invading competitors
In this talk I will discuss the eventual outcomes of two invading competitors based on a two species diffusive competition model with free boundaries. We are interested in a complete understanding of all the possible invading profiles of the system in the weak-strong competition case, where a strong competitor and a weak competitor invade the spatial environment simultaneously. We show that there are exactly five different types of invading profiles for this system. This talk is based on theoretical work with Chang-Hong Wu (Taiwan), and numerical work with K. Khan (Australia), Shuang Liu (USA) and T. Schaerf (Australia).
Miguel Nuñez
Univ. Federal de Mato Grosso-Brazil
10:50h – 11:30h
Hierarchical Controllability for a Nonlinear Parabolic Equation in One Dimension.
This work deals with the hierarchical control of a nonlinear parabolic equation in one dimension. The novelty in this work is the appearance of the spatial derivative of the solution instead of considering only the solution in the quasilinear term (nonlinearity), here lies the difficulty of approaching said equation. We use Stackelberg–Nash strategies. As usual, we consider one control called leader and two controls called followers. To each leader we associate a Nash equilibrium corresponding to a bi-objective optimal control problem, then, we look for a leader that solves null and trajectory controllability problems. First, we study the linear problem and then, we use the results obtained in the linear case to conclude the nonlinear problem by applying the Right Inverse Function Theorem.
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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