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Fw: errata corrige date del ciclo di lezioni Prof. Bardos
Giulia Curciarello
curciare at dm.unipi.it
Mon Oct 18 13:16:43 CEST 2004
Giulia Curciarello
Segreteria Didattica
tel: 050-2213219
e-mail curciare at dm.unipi.it
----- Original Message -----
From: "Antonella" <a.gregorace at sns.it>
To: "Giulia Curciarello" <curciare at dm.unipi.it>
Cc: "Ilaria GABBANI" <i.gabbani at sns.it>
Sent: Monday, October 18, 2004 1:09 PM
Subject: errata corrige date del ciclo di lezioni Prof. Bardos
> Centro di Ricerca Matematica Ennio De Giorgi
> Avviso di ciclo di lezioni del Prof. C. Bardos
>
> TITOLO: "Beliefs and Theorems for Fluid Mechanics"
>
> PROGRAMMA:
> To try to reach a convenient overview of the state of the art I intend
> in these three lectures to produce a mixture of both very formal
> constructions and rigourous theorems. Therefore I will follow the
> following schedule.
>
>
> Monday, October 18, 16h30-18h30: Aula Fermi Description of the
> hierarchy of equations from the Hamiltonian systems of Newton Mechanic
> to models of turbulence, with in between the Boltzmann and Navier Stokes
> equations. No proof of convergence is given but the classical
> parameters of fluid mechanic are introduced and the role of entropy is
> emphasised.
>
> Tuesday, October 19, 16h30-18h30: Aula Bianchi This lecture is devoted
> to the theorems concerning the incompressible Euler Equation. Local
> existence with smooth initial data in 3d,
> Global existence and uniqueness in 2d with initial bounded vorticity,
> Propagation of regularity in 2d with the pair dispersion formula and
> in 3d with the Beale Kato Majda Kozono criteria and the Constantin
> Fefferman criteria.
> Arnold stability criteria for stationary solutions.
> Open problems in particular weak limit of 2d solutions either with
> oscillating initial data or with vanishing viscosity and no slip
> boundary condition ( Kato criteria and Grenier instability.)
>
> Wednesday October 20, 18h30-19h30: Aula Fermi I describe tools used
> for the macroscopic limit of the Kinetic equations with the hope that
> they may be used also for other purpose. The averaging lemma of Golse
> Lions Perthame and Sentis and its L1 extension. The notion of
> dissipative solution for the incompressible Euler equation application
> to the incompressible limit of the Boltzmann equation.
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