Speaker: Jean-Baptiste Casteras (CMAFcIO, Universidade de Lisboa).

In this talk, we will be interested in standing wave solutions to a fourth order nonlinear Schrödinger equation having second and fourth order dispersion terms. This kind of equation naturally appears in nonlinear optics. In a first time, we will establish the existence of ground-state and renormalized solutions. We will then be interested in their qualitative properties, in particular their stability.

Speaker: Marco Morandotti (Politecnico di Torino).

We study an interaction model of a large population of players based on an evolutionary game, which describes the dynamical process of how the distribution of strategies changes in time according to their individual success.

Speaker: Pavel Exner (Doppler Institute for Mathematical Physics and Applied Mathematics, Prague).

Speaker: Elvira Zappale (Università Degli Studi di Salerno).

I will present several integral representation results for certain functionals arising in the context of optimal design and damage models, in presence of a perimeter penalization term. I will consider several frameworks, and I will also discuss the case with non-standard growth conditions.

To get access to the password, please register on the website or contact one of the organizers.

Speaker: Barbara Brandolini (Università Degli Studi di Napoli Federico II).

To get access to the password, please register on the website or contact one of the organizers.

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.

Speaker: Riccardo Adami (Politecnico di Torino).

Driven by physical and technological applications, during the last five years the study of nonlinear evolution on branched structures (graphs, networks) has undergone a fast development. We review on the main achievements and on the open problems. This is a joint project with several people, among which Simone Dovetta, Enrico Serra, Lorenzo Tentarelli, and Paolo Tilli.

Speaker: Lucio Boccardo (Università di Roma La Sapienza).

To get access to the password, please register on the website or contact one of the organizers.

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.

Speaker: Maria Colombo (École Polytechnique Fédérale de Lausanne).

Speaker: Luis Vega (Basque Center for Applied Mathematics).

Speaker: Bernold Fiedler (Institute of Mathematics, Freie Universität Berlin).