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SUMMARY:The Vlasov-Poisson-Boltzmann/Landau equation with polynomial pertu
rbation near Maxwellian
DTSTART;VALUE=DATE-TIME:20230131T130000Z
DTEND;VALUE=DATE-TIME:20230131T140000Z
DTSTAMP;VALUE=DATE-TIME:20230324T201700Z
UID:indico-event-8855@indico.math.cnrs.fr
DESCRIPTION:Speakers: Xingyu Li\n\nWe consider the Vlasov-Poisson-Boltzman
n system without angular cutoff and the Vlasov-Poisson-Landau system with
Coulomb potential near a global Maxwellian µ. We establish the global exi
stence\, uniqueness and large time behavior for solutions in a polynomial-
weighted Sobolev space $H^2_{x\,v}(⟨v⟩k)$ for some constant k > 0. F
or the domain union of cubes\, We will consider the specular-reﬂection b
oundary condition and its high-order compatible specular boundary conditio
n. The proof is based on extra dissipation generated from the semigroup me
thod and energy estimates on electrostatic fields. It is a joint work with
Chuqi Cao and Dingqun Deng (Tsinghua University).\n\nhttps://indico.math.
cnrs.fr/event/8855/
URL:https://indico.math.cnrs.fr/event/8855/
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