Speaker: Michael Goldman (Laboratoire Jacques-Louis Lions and Université Paris 7).
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.
Cancelamento motivado pela aplicação do plano de contingência da Faculdade de Ciências da Universidade de Lisboa relativo ao novo Coronavírus (COVID-19).
Mais informações: https://ciencias.ulisboa.pt/pt/saude.
Por Emílio Franco (IST).
Abstract: While it is well known that the moduli space of G-bundles over a smooth projective curve is compact, it is not the case for an arbitrary base variety. This motivated the definition of G-sheaves by Gomez and Sols who proved that their moduli space is a compactification of the moduli space of G-bundles. In this talk I will study the deformation and obstruction theory of these objects when G is either the symplectic or the orthogonal group.
Por Benoît Merlet (Laboratoire Paul Painlevé, Université de Lille).
Por Clément Cancès (Inria Lille - Nord Europe).
Abstract: We present an original model for immiscible two-phase mixtures. This model can be interpreted as the generalised gradient flow of the same energy as for the classical degenerate Canh-Hilliard model, but for a different geometry. Our model is shown to dissipate faster. Existence of weak solutions is established based on the convergence of a JKO semi discretization (joint work with Flore Nabet and Daniel Matthes).
Por Boris Zilber (Oxford University).
Por Pieter Roffelsen (SISSA).
Por Philipp Harms (FREIS, Univ. Freiburg).
Abstract: Fluid dynamics and shape analysis are linked by a common underlying geometric structure, namely, Sobolev-type Riemannian metrics on manifolds of mappings. I will characterize the degeneracy and non-degeneracy of the corresponding geodesic distances, establish local well-posedness of the corresponding geodesic equations, and discuss applications of these results to shape analysis and fluid dynamics.