[CvGmt News] Seminario di Mikaela Iacobelli (20 marzo 2018)

Alfonso Sorrentino sorrentino at mat.uniroma2.it
Tue Mar 13 19:15:33 CET 2018

Dipartimento di Matematica
Universita' degli Studi di Roma "Tor Vergata"

Martedi' 20 Marzo 2018, ore 14:30 Aula Dal Passo

Speaker: Mikaela Iacobelli(Durham University, UK)

Titolo: Recent results on quasineutral limit for Vlasov-Poisson via
Wasserstein stability estimates.

Abstract: The Vlasov-Poisson system is a kinetic equation that models
collisionless plasma. A plasma has a characteristic scale called the Debye
length, which is typically much shorter than the scale of observation. In
this case the plasma is called ‘quasineutral’. This motivates studying the
limit in which the ratio between the Debye length and the observation scale
tends to zero. Under this scaling, the formal limit of the Vlasov-Poisson
system is the Kinetic Isothermal Euler system.
The Vlasov-Poisson system itself can formally be derived as the limit of a
system of ODEs describing the dynamics of a system of N interacting
particles, as the number of particles approaches infinity. The rigorous
justification of this mean field limit remains a fundamental open problem.
In this talk we present the rigorous justification of the quasineutral
limit for very small but rough perturbations of analytic initial data for
the Vlasov-Poisson equation in dimensions 1, 2, and 3. Also, we discuss a
recent result in which we derive the Kinetic Isothermal Euler system from a
regularised particle model. Our approach uses a combined mean field and
quasineutral limit.

Website: http://www.mat.uniroma2.it/~sorrenti/SeminarioED.html

Dipartimento di Matematica
Università degli Studi di Roma "Tor Vergata"
Via della Ricerca Scientifica 1
00133 Rome (Italy)

Phone: +39 06 72594663
Fax:      +39 06 72594699
Web page: http://www.mat.uniroma2.it/~sorrenti
Email: sorrentino at mat.uniroma2.it
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