Seminar in EDP and Applied Mathematics

september 20, 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

María-Luisa Rapún

Universidad Politécnica de Madrid (Spain)

14:00h – 14:40h

Non-Invasive Imaging Using Numerical Techniques Based on Topological Derivates

The challenge of identifying the location, size, and shape of objects embedded within a medium has garnered significant attention in recent years. This issue is critically important across various fields, including medical imaging, non- destructive material testing, and natural resource exploration. In this presentation, we will introduce numerical methods based on topological derivative computations for detecting multiple defects. These methods generate indicator functions that can classify each point in the region of interest as either part of the background medium or an object, without any prior assumptions
about the number, size, shape, or location of the objects. The effectiveness of the method will be illustrated across various applications, including acoustic, electromagnetic, and thermographic inspections.

Luis Vega Gonzalez

UPV/EHU & BCAM, Bilbao, Spain

14:50h – 15:30h

The binormal flow and the evolution of viscous vortex filaments

I’ll present the so called Localized Induction Approximation that de- scribes the dynamics of a vortex filament according to the Binormal Curvature Flow (BF). I’ll give a result about the desingularization of the Biot-Savart in- tegral proved with Marco A. Fontelos within the framework of Navier-Stokes equations. Some particular examples regarding BF obtained with Valeria Ban- ica will be also considered. These examples allow to connect BF with the so- called Riemann non-differentiable function and the Frisch-Parisi approach to turbulence.

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;