Seminar in EDP and Applied Mathematics
April 05, 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
Enrique Fernandez Cara
Universidad de Sevilla (Spain)
14:00h – 14:40h
On the control of fluids
The Navier-Stokes equations have been studied since many years. They are very relevant in mathematics and physics and many people have been concerned with the solution of several related major open problems. On the other hand, the control of PDE’s has attracted a lot of work the last decades. This has been motivated by its very relevant role in applications. This talk is mainly devoted to present some recent results dealing with the local and global control of systems of the Navier-Stokes kind. Additionally, we will consider other equations and systems with origin in fluid mechanics.
Manuel A. Sanchez
Pontificia Universidad Católica de Chile (Chile)
14:50h – 15:30h
Combining finite element space-discretizations with symplectic time-marching schemes for linear Hamiltonian systems.
We provide a short introduction to the devising of a special type of methods for numerically approximating the solution of Hamiltonian partial differential equations. These methods use Galerkin space-discretizations which result in a system of ODEs displaying a discrete version of the Hamiltonian structure of the original system. The resulting system of ODEs is then discretized by a symplectic time-marching method. This combination results in high-order accurate, fully discrete methods which can preserve the invariants of the Hamiltonian defining the ODE system. We restrict our attention to linear Hamiltonian systems, as the main results can be obtained easily and directly, and are applicable to many Hamiltonian systems of practical interest including acoustics, elastodynamics, and electromagnetism. After a brief description of the Hamiltonian systems of our interest, we provide an introduction to symplectic time-marching methods for linear systems of ODEs which does not require any background on the subject. Finally, we consider the case of finite-element space discretizations. The emphasis is placed on the conservation properties of the fully discrete schemes. We end by describing ongoing work.
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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