Errata Corrige:

I seminari si terranno 

Mercoledì 2 Marzo 2016

(NON Mercoledì 3 Febbraio 2016)

Saluti,

Marta Leocata

-------------------------

Cari tutti,

Mercoledì 2 Marzo 2016, alle ore 11:30 presso l'aula Seminari del
Dipartimento di Matematica dell'Università di Pisa, il professor

Massimiliano Gubinelli
(Institute of Applied Mathematics, University of Bonn)

terrà un seminario dal titolo:

"Weak universality of the stationary KPZ equation".

Abstract: I will discuss a notion of solution for the KPZ equation which
has been introduced by Jara and Gonçalves (2010) and later improved by
Jara and myself (2013) and goes under the name of energy solutions. In a
recent work in collaboration with Perkowski we have recently obtained a
uniqueness results for energy solutions. Using energy solutions is
possible to prove weak universality results for KPZ: namely that a wide
class of one dimensional microscopic interacting particle models with weak
asymmetry and in non-equilibrium stationary states have large scale
fluctuations described by the KPZ equation.

A seguire, nella stessa aula il dottor

Michele Coghi
(Scuola Normale Superiore)

terrà un seminario dal titolo:

"Mean field limit of interacting filaments and vector valued non linear
PDEs".

Abstract: Families of N interacting curves are considered, with long
range, mean-field type, interaction. A family of curves defines a
1-current, concentrated on the
curves, analog of the empirical measure of interacting point particles.
This current is proved to converge, as N goes to infinity, to a mean field
current,
solution of a nonlinear,
vector valued, partial differential equation. In the limit, each curve
interacts with the mean field current and two different curves have an
independence property if they are independent at time zero. This set-up
is inspired from vortex filaments in turbulent fluids, although for
technical reasons we have to restrict to smooth interaction, instead of
the singular Biot-Savart kernel. All these results are based on a
careful analysis of a nonlinear flow equation for 1-currents, its
relation with the vector valued PDE and the continuous dependence on the
initial conditions
terrà un seminario dal titolo

Tutti gli interessati sono invitati a partecipare.

---------------------------------------------------------------------------------------

2016-02-26 15:29 GMT+01:00 Marta Leocata <marta.leocata@gmail.com>:

Cari tutti,

Mercoledì 3 febbraio 2016, alle ore 11:30 presso l'aula Seminari del
Dipartimento di Matematica dell'Università di Pisa, il professor

Massimiliano Gubinelli
(Institute of Applied Mathematics, University of Bonn)

terrà un seminario dal titolo:

"Weak universality of the stationary KPZ equation".

Abstract: I will discuss a notion of solution for the KPZ equation which
has been introduced by Jara and Gonçalves (2010) and later improved by
Jara and myself (2013) and goes under the name of energy solutions. In a
recent work in collaboration with Perkowski we have recently obtained a
uniqueness results for energy solutions. Using energy solutions is
possible to prove weak universality results for KPZ: namely that a wide
class of one dimensional microscopic interacting particle models with weak
asymmetry and in non-equilibrium stationary states have large scale
fluctuations described by the KPZ equation.

A seguire, nella stessa aula il dottor

Michele Coghi
(Scuola Normale Superiore)

terrà un seminario dal titolo:

"Mean field limit of interacting filaments and vector valued non linear
PDEs".

Abstract: Families of N interacting curves are considered, with long
range, mean-field type, interaction. A family of curves defines a
1-current, concentrated on the
curves, analog of the empirical measure of interacting point particles.
This current is proved to converge, as N goes to infinity, to a mean field
current,
solution of a nonlinear,
vector valued, partial differential equation. In the limit, each curve
interacts with the mean field current and two different curves have an
independence property if they are independent at time zero. This set-up
is inspired from vortex filaments in turbulent fluids, although for
technical reasons we have to restrict to smooth interaction, instead of
the singular Biot-Savart kernel. All these results are based on a
careful analysis of a nonlinear flow equation for 1-currents, its
relation with the vector valued PDE and the continuous dependence on the
initial conditions
terrà un seminario dal titolo

Tutti gli interessati sono invitati a partecipare.