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SUMMARY:From Vlasov-Poisson equations to the Incompressible Euler system\,
the case with finite mass
DTSTART;VALUE=DATE-TIME:20180213T141500Z
DTEND;VALUE=DATE-TIME:20180213T151500Z
DTSTAMP;VALUE=DATE-TIME:20190117T112731Z
UID:indico-event-2948@indico.math.cnrs.fr
DESCRIPTION:Magneto-Optical Traps (MOT) are experimental devices used to t
rap cold atoms. The mathematical modeling of such devices involves the Vla
sov-Poisson(-Fokker-Planck) system with an external potential. We can iden
tify physically relevant regimes which allow us to replace this equation b
y a model of macroscopic nature. The analysis relies on the derivation of
the Incompressible Euler system from the Vlasov equation in the quasi-neut
ral regime by Y. Brenier and N. Masmoudi. However\, by contrast to these c
ases studied on the torus or with infinite charge\, here\, the strong exte
rnal field governs the shape of the domain on which the limit equation is
posed. The discussion of these phenomena has unexpected connections with t
he analysis of the obstacle problem. This is a joint work with J. Barré (
Univ. Orl\\'eans)\, D. Chiron (Univ. Côte d'Azur) and N. Masmoudi (CIMS-N
YU).\n\nhttps://indico.math.cnrs.fr/event/2948/
LOCATION:ICJ\, UCBL - La Doua\, Bât. Braconnier salle Fokko du Cloux
URL:https://indico.math.cnrs.fr/event/2948/
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