Seminar in EDP and Applied Mathematics

November 15, 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

Sonia Martinez

Department of Mechanical & Aerospace Engineering
University of California, San Diego-USA

14:00h – 14:40h

Optimal Transport and Ambiguity Sets for Swarm Coordination

Self-organization is a pervasive phenomenon in nature that
has inspired the development of multi-agent networked systems in a
large variety of applications. Optimal transport and related
mathematical tools find new application in this context, providing
mechanisms for swarm deployment, data-driven learning, and optimal
decision making under uncertainty.  Motivated by this, in this talk I
will present ongoing work that addresses the challenges of design of
decentralized algorithms, scalability, and handling of uncertainty.

Laurel Ohm

Department of Mathematics, University of Wisconsin – Madison-USA

14:50h – 15:30h

PDE problems in thin filament hydrodynamics

Many fundamental biophysical processes, from cell division to cellular motility, involve dynamics of thin structures immersed in a very viscous fluid. Various popular models have been developed to describe this interaction mathematically, but much of our understanding of these models is only at the level of numerics and formal asymptotics. Here we seek to develop the PDE theory of filament hydrodynamics.

We first propose a PDE framework for analyzing the error introduced by slender body theory (SBT), a common approximation used to facilitate computational simulations of immersed filaments in 3D. Given data prescribed only along a 1D curve, we develop a novel type of boundary value problem and obtain an error estimate for SBT in terms of the fiber radius. This places slender body theory on firm theoretical footing.

We then consider other physically relevant scenarios in which the slender body PDE framework applies and shed light on the analysis of such problems.

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.