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Entropy solutions of scalar nonlocal conservation laws with congestion

Abstract: In this talk we consider a class of scalar nonlinear models describing crowd dynamics. The congestion term appears in the transport equation in the form of a compactly supported nonlinear mo...

Some properties of Steklov eigenfunctions.

Abstract: I present some results concerning the number of critical points and the number of nodal domains of Steklov eigenfunctions. The results have been obtained in collaboration with Luca Battaglia...

Min-max construction of anisotropic CMC surfaces

We prove the existence of nontrivial closed smooth surfaces with constant anisotropic mean curvature with respect to elliptic integrands in closed smooth 3-dimensional Riemannian manifolds. Joint work...

Variational Problems under topological constraints

Abstract: The seminal work of Brezis-Coron (1983) for 2-dimensional harmonic maps introduces an estimate that leads to the existence of harmonic maps minimizing in different homotopy classes. This had...

Chasing regularization by noise of 3D Navier-Stokes equations

Abstract: Global well-posedness of 3D Navier-Stokes equations (NSEs) is one of the biggest open problems in modern mathematics. A long-standing conjecture in stochastic fluid dynamics suggests th...

Normal form and dynamics of the Kirchhoff equation

Abstract: In this talk I will present some recent results on the Kirchhoff equation of nonlinear elasticity, describing transversal oscillations of strings and plates, with periodic boundary condition...

Three quick recipes with fully extended oriented 2d TQFTs

Abstract: It always happens: you have a talk for lunch and nothing prepared. Your signature dish never fails, but you have served it too many times already and you'd like to surprise your guests with ...

XXIII Congresso SISM Italia e Germania: le relazioni scientifiche

"IL MATERIALE D'ARCHIVIO DELLA BIBLIOTECA DEL DIPARTIMENTO DI MATEMATICA GUIDO CASTELNUOVO" CATEGORIAPROMOSSO DAQUANDOConvegnoSISM Società Italiana di Storia delle Matematiche14 - 16 novembre 202...

Radon measure-valued solutions of scalar conservation laws

Abstract: We present some results for Radon measure-valued solutions of first order scalar conservation laws. In particular we discuss the case in which the singular part of the initial datum is a sup...

The asymptotics of volume preserving geometric flows and a sharp quantitative Alexandrov inequality

Abstract: I will present a study on the asymptotic behavior of the volume preserving mean curvature and the Mullins-Sekerka flat flows in three dimensional space, for which we need to establish a ...

Classical W-algebras, Drinfeld-Sokolov hierarchies and tau functions

Abstract:  Classical W-algebras W(g,O) are a family of Poisson vertex algebras associated to a simple Lie algebra g and a nilpotent orbit O. For (almost) every W(g,O) it is possible to construct ...