## Fibonacci, Caos, e Determinazione Orbitale

Authors: Andrea Milani and Giulio Bau' (Department of Mathematics,

University of Pisa)

Relatore:

Andrea Milani

Authors: Andrea Milani and Giulio Bau' (Department of Mathematics,

University of Pisa)

Data Seminario:

Friday, November 23, 2018

Aula:

Sala Riunioni (Dip. Matematica)

Ora Fine:

Saturday, January 1, 0000 - 13:00

Affiliazione:

Dipartimento di Matematica

Ora Inizio:

Saturday, January 1, 0000 - 11:00

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

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

Tipo Seminario:

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

Tipo Seminario:

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

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

Aula:

Sala Riunioni (Dip. Matematica)

Data Seminario:

Monday, June 18, 2018

Relatore:

V. Petkov

Affiliazione:

Bordeaux

Ora Inizio:

Saturday, January 1, 0000 - 16:00

Ora Fine:

Saturday, January 1, 0000 - 17:00

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

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

Tipo Seminario:

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