# Lisbon Webinar in Analysis in Differential Equations

Transmissão através de Videoconferência

Asymptotic stability for the gradient flow of some nonlocal energies | 14h00-15h00
Nicola Fusco (Università di Napoli "Federico II")

I will start by discussing some recent results on the asymptotic stability of the $H^{-1}$-gradient flow of the perimeter, the so called surface diffusion. Then I will consider the $H^{-1}$-gradient flow of some energy functionals given by the area of an interface plus a non local volume term.

This is a joint work with E. Acerbi, V. Julin and M. Morini

Nonlocality features of the area functional and the Plateau problem | 15h00-16h00
Riccardo Scala (Università degli Studi di Siena)

We briefly discuss the definition of relaxation of the area functional. The relaxed area functional, denoted by $A$, extends the classical area functional, which, for any "regular" map $v:U\subset \mathbb{R}^n\rightarrow \mathbb{R}^N$ evaluates the $n$-dimensional area of its graph over $U$. The problem of determining the domain and the expression of $A$ is open in codimension greater than 1. Specifically, this relaxed functional turns out to be nonlocal and cannot be expressed by an integral formula. We discuss how it is related to classical and nonclassical versions of the Plateau problem. As a main example, we try to understand what is the relaxed graph of the function $x/|x|$, a question that surprisingly remained open for decades.

The Lisbon Webinar in Analysis in Differential Equations is a joint iniciative of CAMGSD, CMAFcIO and GFM, three research centers of the University of Lisbon. It is aimed at filling the absence of face-to-face seminars and wishes to be a meeting point of mathematicians working in the field.

14h00-16h00

Vem desenvolver a tua expressão oral com o auxílio de exercícios teatrais.

Ten Minutes Talk with the PhD students in Informatics, com Diana Sousa (LASIGE, DI-FCUL).

Conferência do Centro de Ecologia, Evolução e Alterações Ambientais, por Francisco Dionísio (EE-cE3c).

Solid Earth Seminar, por Henrique Duarte (Geosurveys, Consultores em Geofísica).

Por Rafael Izbicki (Federal University of São Carlos, Brazil).

A sessão tem como objetivo apresentar o programa doutoral, os cursos doutorais abertos em 2021/2022, os temas para tese e seus orientadores.

"Património e divulgação em Paleontologia" é o tema escolhido para esta edição do EJIP.

Lisbon Webinar in Analysis in Differential Equations, por Simone Di Marino (Università di Genova).

Geometry Webinar, por Stéphane Guillermou (CNRS, Univ. Grenoble).

At AppEEL, we aim to advance the study of evolution from an inter- and transdisciplinary approach and to identify how biological evolutionary theories can be applied to the epistemological, sociocultural and linguistic domains.

Lançamento do livro "O Triunfo dos Jardins - O pelouro dos Passeios e Arvoredos de Lisboa (1840-1900)", de Ana Duarte Rodrigues (Ciências ULisboa).

O principal objetivo deste evento consiste em dotar e atualizar os formandos para as características comportamentais da Perturbação do Espectro do Autismo, assim como para o impacto desta nas diferentes áreas da vida do estudante do Ensino Superior.

Colóquio de Matemática, por Jorge Buescu (DM-FCUL e CMAFcIO).

Candidaturas até 21 de maio de 2021 (mobilidade no 1.º semestre).

Candidaturas de 10 a 25 de maio de 2021.

Seminário Permanente de Filosofia das Ciências, por Daniele Molinini (CFCUL/GI1).

Evento de promoção da investigação na área da Estatística junto dos alunos de Licenciatura e de 1.º ano de Mestrado.

A mostly practical course, offering an overview on different community ecology and macroecological methods and software.

THE meeting place for Mobility Management practitioners and experts all over Europe.

An overview of the different ways to measure biodiversity, and provides tips for the stratification of primary biodiversity data and the construction of variables that describe its various facets.

This course aims at enabling the participants to use different methods to measure the impacts of pollutants on ecosystems.

An overview of recent developments and applications of the algebraic and analytic theory of D-modules.

How to predict the three-dimensional structure of nucleic acid and proteins from their sequence and use the acquired knowledge to improve or create new methodologies in molecular biology research and diagnostics?

Welcome to an unique silicon for photovoltaics event in Lisbon!