Speaker: Matthias Röger (Technische Universität Dortmund).

Speaker: Dorin Bucur (Université de Savoie).

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.

Video: https://videoconf-colibri.zoom.us/j/620479302.

Speaker: Riccardo Scala (Università degli Studi di Siena).

Abstract: We discuss a model for dislocations at a semi-coherent interface between two crystals. We investigate and prove some results on the optimal distribution of dislocations. Finally we relate our models to others and present some open problems (collaboration with M. Ponsiglione and S. Fanzon).

We wish to investigate circumstances where the solutions of (naturally given) ordinary differential equations have integer coefficients.

We start from Zagier's paper "Arithmetic and Topology of Differential Equations" and try to understand some of its features. We will then look at various examples (Apéry's recursion, hypergeometric equation,...).

Por Gabrielle Nornberg (University of São Paulo and Sapienza Università di Roma).

Por Ederson Moreira dos Santos (Universidade de São Paulo - São Carlos - Brazil).

Por Marco Caroccia (Scuola Normale Superiore & Università di Firenze).

Por Khompysh Khonatbek (al-Farabi Kazakh national university).

Abstract: In this talk the initial-boundary value problems for modified Kelvin-Voigt equations with p,q-Laplace will be considered. The unique solvability and the quality properties as blow-up in a finite time and large time behaviour of the weak solution will be proved.

Por Alexander Nazarov (PDMI RAS and St. Petersburg University).

Por Vanessa Barros (University of Porto/Federal University of Bahia-Brazil).