Seminar in EDP and Applied Mathematics
November 1, 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
Bianca Calsavara
Universidade Estadual de Campinas-Unicamp-Brazil
14:00h – 14:40h
A SOLIDIFICATION MODEL WITH CONVECTION IN NON-SOLID REGIONS AND RIGID MOTION IN SOLID REGIONS
In this work, we introduce a PDE problem modeling a solidifica-
tion/melting process in bounded 3D domains, coupling a phase-field
equation and a free-boundary Navier-Stokes-Boussinesq system, where
the latent heat effect is considered via a modification of the Caginalp
model. Moreover, the convection in the non-solid regions is treated via a
phase-dependent viscosity of the material that degenerates in the solid
phase, letting only rigid motions in this phase. Then, we prove existen-
ce of global in time weak solutions for a regularized model, by means of
the convergence of non-degenerate problems furnished truncating the
viscosity.
Dany Nina Huaman
Universidad Nacional Agraria La Molina and Universidad Nacional del Callao-Peru
14:50h – 15:30h
Null controllability for the thermistor problem
In this lecture, we shall present the local null controllability of an initial boundary value problem for a thermistor equation. The control is distributed, locally in space. The main ingredients of the proof are suitable Carleman estimates for an adjoint system and Liusternik’s Inverse Mapping Theorem in Hilbert spaces. Also, we present large time null controllability.
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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