In this talk I will discuss some recent results on the asymptotic behaviour of a family of weighted ultrafast diffusion PDEs. These equations are motivated by the gradient flow approach to the problem of quantization of measures, introduced in a…

# Categoria evento: Analysis Seminar

## Perelman, the Ricci flow and the Poincarè Conjecture – Carlo Mantegazza (Universita’ di Napoli Federico II)

I will present an overview of the Ricci flow and of its geometric applications, in particular the proof of Poincare’ conjecture. It will be a panoramic and informative talk aimed at non specialists.…

## Nonwandering points of continuous dynamical systems and constructive controllability – L’EVENTO SI TERRA’ SU MEET – Eugene Stepanov (St. Petersburg State University)

We will give an overview of the recent results stating how can one constructively slightly perturb a smooth vector field in order to make a given point periodic under the flow it produces (for nonwandering points this is the statements of the…

## An isotropic free transmission problem involving p-laplacian – Harish Shrivastava (UFB Joao Pessoa-Brazil)

In free transmission problems we study the functionals where solutions are required to satisfy distinct partial differential equations in different phases. We will be considering the variational formulation of the problem, which will impose…

## “A biologically inspired deduction of Optimal Transport Problems” – Enrico Facca (Scuola Normale Superiore)

We present a model originally inspired by the study of a unicellular slime mold (called Physarum Polycephalum). The model couples a diffusion equation with an ODE imposing a transient dynamics postulating that the diffusion coefficient grows with…

## A deterministic particle approach to aggregation diffusion models and application to opinion dynamics. – Emanuela Radici (Università degli Studi dell’Aquila)

We describe the one dimensional dynamics of a biological population influenced by the presence of a nonlocal attractive potential and a diffusive term, under the constraint that no overcrowding can occur. This setting can be expressed by a class of…

## A quantitative Obata theorem via localization – Daniele Semola (Scuola Normale Superiore )

Obata’s theorem characterizes the equality case in the spectral gap inequality for N dimensional Riemannian manifolds with Ricci curvature bounded below by N-1. In this talk I will present an approach to the quantitative study of the shape of…

## On Blaschke-Santalo’ diagrams involving the torsional rigidity and the first eigenvalue of the Dirichlet Laplacian – Ilaria Lucardesi (Institut Elie Cartan de Lorraine)

A Blaschke-Santalo’ diagram is the range of a vector shape functional $(F_1,F_2)$ in $\mathbb R^2$. The determination of such attainable set amounts to completely characterize the relation between $F_1$ and $F_2$. In this talk I will present some…

## A rectifiability result for sets of finite perimeter in Carnot groups – Sebastiano Don (Universita’ di Padova)

After an introduction to the regularity problem for sets of finite perimeter in Carnot groups, we prove that the reduced boundary of a set of finite perimeter in a Carnot group can be covered by a countable union of sets satisfying a “cone…

## Continuum limit of a hard-sphere particle system by large deviations – Mark Peletier (Eindhoven University of Technology)

Many stochastic particle systems have well-defined continuum limits: as the number of particles tends to infinity, the density of particles converges to a deterministic limit that satisfies a partial differential equation. In this talk I will…