In the first part of the talk, we will review the classical Alexandrov Theorem, the Isoperimetric Inequality and the Willmore Inequality in Euclidean spaces, trying to highlight their mutual connections and to discuss how they can be proved through…
Categoria evento: Analysis Seminar
Optimal transport between mutually singular measures – Giuseppe Buttazzo (Universita’ di Pisa)
We study the Wasserstein distance between two measures $\mu,\ u$ which are mutually singular. In particular, we are interested in minimization problems of the form $$W(\mu,{\cal A})=\inf\big\{W(\mu,\ u)\ :\ \ u\in{\cal A}\big\}$$ where $\mu$ is a…
Elliptic equations in unbounded cylinders with nonpositive zero order terms and applications to wave homogenization. – Juan Casado-Diaz (Universita’ di Siviglia)
We investigate the existence of solution for a linear elliptic problem posed in an unbounded cylinder where due to the presence of a nonpositive zero order term Lax-Milgram’s theorem does no apply. Since the domain is unbounded, Fredholm theory does…
On the flow of elastic networks – Paola Pozzi
In this talk I will discuss a long-time existence result for the elastic flow of a three network in $R^n$. The evolution is such that the sum of the elastic energies of the three curves plus their weighted lengths decrease in time. Natural boundary…
On the vanishing viscosity limit for incompressible flows – Anna Mazzucato (Penn State University)
I will discuss recent results on the analysis of the vanishing viscosity limit, that is, whether solutions of the Navier-Stokes equations converge to solutions of the Euler equations, for incompressible fluids when walls are present. At small…
Existence and uniqueness for crystalline mean curvature flows with general mobilities – Marcello Ponsiglione (Universita’ di Roma La Sapienza)
In this seminar we will discuss weak formulations for crystalline mean curvature flows, providing existence and uniqueness of the geometric evolution up to fattening. In particular, we show that the Almgren-Taylor-Wang scheme starting from any given…
Periodicity as dimension: NLS ground states on periodic metric graphs – Simone Dovetta (Politecnico di Torino)
The talk introduces and discusses some recent results on the existence of mass constrained ground states for stationary nonlinear Schrodinger equations on periodic metric graphs. Even though every metric graph is locally a one–dimensional structure,…
Generalised solutions via set optimization of Hamilton-Jacobi equation for multi objective cost – Daniela Visetti (Free University of Bozen-Bolzano)
Vedere file allegato.…
Lagrangian mean curvature flow of Whitney spheres – Andreas Savas-Halilaj (University of Ioannina)
We investigate the evolution under the mean curvature flow of an equivariant Lagrangian sphere. It is shown that under a convexity assumption on the Ricci curvature, the flow develops a type-II singularity that rescales to the product of a grim…
On the metric perurbation for semilinear wave equations – Hideo Kubo (Hokkaido University)
On the metric perurbation for semilinear wave equations Abstract: In this talk I’d like to revisit a joint work with Professor Katayama in which we dealt with a system of two-components semilinear wave equations. We assume the nonlinearity of one…