Sala Riunioni (Dip. Matematica)

Classical and New Problems in Geometric Analysis

Relatore: 
Mattia Fogagnolo

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 PDE's
techniques.
In the second part of the talk we will consider these problems in
relevant families of Riemannian manifolds, approaching the frontier of
modern research on these topics.

Data Seminario: 
Thursday, March 28, 2019
Aula: 
Sala Riunioni (Dip. Matematica)
Ora Fine: 
Saturday, January 1, 0000 - 19:00
Affiliazione: 
Università di Trento
Ora Inizio: 
Saturday, January 1, 0000 - 17:30

LONG TIME EXISTENCE OF PERIODIC GRAVITY WATER WAVES

Relatore: 
Massimiliano Berti

We consider the pure gravity water waves system with a periodic one-dimensional interface in infinite depth, and prove a rigorous reduction of these equations to Bikhoff normal form up to degree four. This proves a conjecture of Zakharov-Dyachenko based on the formal Birkhoff integrability of the water waves Hamiltonian truncated at order four.

Data Seminario: 
Thursday, February 7, 2019
Aula: 
Sala Riunioni (Dip. Matematica)
Ora Fine: 
Saturday, January 1, 0000 - 16:30
Affiliazione: 
SISSA
Ora Inizio: 
Saturday, January 1, 0000 - 15:30

Finite Energy Weak Solutions of the Navier-Stokes-Korteweg equations.

Tipo Seminario: 
Relatore: 
Stefano Spirito

<p>In this talk I will present some results concerning the analysis of finite energy weak solutions of the Navier-Stokes-Korteweg equations, which model the dynamic of a viscous compressible fluid with diffuse interface. A general theory of global existence is still missing, however for some particular cases of physical interest I will present results regarding the global existence and the compactness of finite energy weak solutions. The talk is based on a series of joint works with Paolo Antonelli (GSSI - Gran Sasso Science Institute, L’Aquila)</p>

Data Seminario: 
Thursday, November 15, 2018
Aula: 
Sala Riunioni (Dip. Matematica)
Ora Fine: 
Saturday, January 1, 0000 - 15:00
Affiliazione: 
Univ. L'Aquila
Ora Inizio: 
Saturday, January 1, 0000 - 14:00

Exponential PDE's in high dimension

Tipo Seminario: 
Relatore: 
Pierpaolo Esposito

Abstract: In dimension n elliptic PDE's with an exponential non-linearity can
have a critical behavior when the differential operator either involves
derivatives of order >2 or is quasi-linear. Due to intrinsic invariances
such PDE's present a natural lack of compactness and in the quasi-linear
case I aim to present some recent results concerning existence issues and
the description of the blow-up mechanism. In the last part of the talk, I
will report on an ongoing research project, in collaboration with A.

Data Seminario: 
Thursday, November 8, 2018
Aula: 
Sala Riunioni (Dip. Matematica)
Ora Fine: 
Saturday, January 1, 0000 - 18:00
Affiliazione: 
Università di Roma, Tor Vergata
Ora Inizio: 
Saturday, January 1, 0000 - 17:00

Transversally strictly hyperbolic systems

Relatore: 
Prof. Tatsuo Nishitani

Abstract:
We consider the Cauchy problem for first-order systems. Assuming that the  set of singular points of characteristic variety is a smooth manifold and the characteristic values are real and semisimple we introduce a new class which is strictly hyperbolic in the directions transverse to this manifold.  In this talk I mainly discuss  an interesting example proposed by G.Me'tivier which is transversally strictly hyperbolic but the propagation cone is incompatible with the set of singular points of characteristic variety.

Data Seminario: 
Thursday, September 20, 2018
Aula: 
Sala Riunioni (Dip. Matematica)
Ora Fine: 
Saturday, January 1, 0000 - 17:30
Affiliazione: 
Osaka University
Ora Inizio: 
Saturday, January 1, 0000 - 16:30

Non-homogeneous persistent random walks and averaged environment for the Lévy-Lorentz gas

Relatore: 
Giampaolo Cristadoro

I will first introduce a model known in the physical literature as the Lévy-Lorentz gas. The model describes the continuous-time motion of a particle on the real line in the presence of a random array of marked points, whose nearest-neighbor distances are i.i.d. and long-tailed (with finite mean but possibly infinite variance,  with controlling parameter $\alpha$). I will give a brief summary of the know results about transport properties for this model. I will then  present a related model that may be viewed as a mean-field version of the Lévy-Lorentz gas.

Data Seminario: 
Wednesday, July 4, 2018
Aula: 
Sala Riunioni (Dip. Matematica)
Ora Fine: 
Saturday, January 1, 0000 - 18:00
Affiliazione: 
Università di Milano-Bicocca
Ora Inizio: 
Saturday, January 1, 0000 - 17:00

Canonical trace ideals and nearly Gorenstein rings

Tipo Seminario: 
Relatore: 
Dumitru Stamate

Abstract: Gorenstein rings have many nice symmetry properties, and in the recent years several extensions were proposed by Barucci and Froeberg, Goto, Takahashi, and  Taniguchi, among others. Given a local ring $(R,m)$, the trace of the canonical module $\omega_R$ describes the non-Gorenstein locus of R. Thus, R is Gorenstein precisely when $tr(\omega_R)=R$. Inspired by this observation. we say that R is nearly Gorenstein  if $tr(\omega_R) \supseteq m$.

Data Seminario: 
Tuesday, June 26, 2018
Aula: 
Sala Riunioni (Dip. Matematica)
Ora Fine: 
Saturday, January 1, 0000 - 16:00
Affiliazione: 
University of Bucharest
Ora Inizio: 
Saturday, January 1, 0000 - 15:00

Sobolev classes on domains of Wiener spaces

Relatore: 
Giorgio Menegatti

ABSTRACT

In the setting of an abstract Wiener space X (Banach separable space with Gaussian measure), for O subset of X with some boundary regularity we consider the problem of to define W_{0}^{1,p}(O) (Sobolev space with null boundary Dirichlet condition) such that a regularizing sequence is defined.

Data Seminario: 
Tuesday, May 29, 2018
Aula: 
Sala Riunioni (Dip. Matematica)
Ora Fine: 
Saturday, January 1, 0000 - 15:00
Affiliazione: 
Università degli studi di Ferrara
Ora Inizio: 
Saturday, January 1, 0000 - 14:00

Pages

Subscribe to Sala Riunioni (Dip. Matematica)