Dispersive effects on domains with boundary: what we know and what we don’t\u2028 – Fabrice Planchon (Paris IV)

We discuss a series of recent results about dispersive equations on domains, with particular interest in the so called Strichartz estimates. We shall discuss along the talk some open questions as well. The seminar will be only in presence, those…

Finite Energy Weak Solutions of the Navier-Stokes-Korteweg equations – Stefano Spirito

In this talk I will present some results concerning the analysis of the existence of finite energy weak solutions of the Navier-Stokes-Korteweg equations, which model the dynamic of a viscous compressible fluid with capillarity effect. These kind of…

Microlocal analysis of singular measures – Nicolas Burq (Orsay)

In this talk, I will investigate the structure of singular measures from a microlocal perspective. I will introduce a notion of $L^1$- regularitywave front set for scalar and vector distributions. Our main result is a proper microlocal…

An introduction to dispersive equations – Nicolas Burq (Orsay)

This seminar is a quick introduction to the field of dispersive equations. We shall present the main models most studied in the literature as well as a quick overview of the techniques available in the literature.…

A variational approach to a class of nonlinear Cauchy-Neumann problems – Alessandro Audrito (ETH Zurich)

In this talk, I will present some recent results about existence and Holder regularity of weak solutions to a class of nonlinear Cauchy-Neumann problems arising in combustion theory and fractional diffusion. Weak solutions are obtained through a…

Alcuni risultati di confronto per soluzioni di problemi ellittici con dati al bordo di tipo misto – Cristina Trombetti (Università degli Studi di Napoli Federico IIi Federico II)

I risultati di confronto alla Talenti per soluzioni di problemi ellittici con dati al bordo di tipo Dirichet e Neumann sono stati ampiamente affrontati negli ultimi decenni. In questo seminario si affronta il problema di come ottenere risultati…

Fourier Rearrangement: Symmetry results for PDEs of arbitrary order – Enno Lenzmann (University of Basel)

In this talk, I will give an introduction to the method of Fourier rearrangements. This is a new method for proving optimal symmetry results for minimizers of variational problems involving (pseudo-)differential operators. In particular, we can…

Geometric applications of (non)Linear Potential Theory – Mattia Fogagnolo (Scuola Normale Superiore )

I will discuss how geometric inequalities and splitting results on complete Riemannian manifolds with nonnegative Ricci curvature can be provided by employing suitable monotone quantities along the flow of capacitary and p-capacitary potentials, as…

From quantization of measures to weighted ultrafast diffusion equations – Mikaela Iacobelli (ETH Zurich)

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…

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.…

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