Sala Riunioni (Dip. Matematica)

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

On the existence of solutions to weakly coupled elliptic system with critical growth

Tipo Seminario: 
Relatore: 
Angela Pistoia

Titolo

​On the existence of solutions to weakly coupled elliptic system with critical growth

Data Seminario: 
Thursday, April 12, 2018
Aula: 
Sala Riunioni (Dip. Matematica)
Ora Fine: 
Saturday, January 1, 0000 - 16:30
Affiliazione: 
Università la Sapienza, Roma
Ora Inizio: 
Saturday, January 1, 0000 - 15:30

The problem of realising groups as self-homotopy equivalences of A_n^2-polyhedra

Relatore: 
David Méndez

Abstract: In the fifties, Whitehead introduced a long exact sequence of abelian groups associated to simply connected spaces. He showed that these exact sequences could be used to classify homotopy types of simply-connected 4-dimensional topological spaces. More recently, Benkhalifa made use of these results to algebraically study in this context the group of self-homotopy equivalences of a space (homotopy clases of continuous self-maps of the space that have a homotopy inverse).

Data Seminario: 
Tuesday, April 10, 2018
Aula: 
Sala Riunioni (Dip. Matematica)
Ora Fine: 
Saturday, January 1, 0000 - 11:00
Affiliazione: 
Universidad de Málaga
Ora Inizio: 
Saturday, January 1, 0000 - 09:30

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