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SUMMARY:The Vlasov-Poisson-Landau system in the weakly collisional regime 
 - Jonathan Luk (Stanford University)
DTSTART:20220111T100000Z
DTEND:20220111T110000Z
UID:TALK166657@talks.cam.ac.uk
DESCRIPTION:\n\n\n\nConsider the Vlasov-Poisson-Landau system in the weakl
 y collisional regime. We show that solutions near global Maxwellians exhib
 it enhanced dissipation and Landau damping\, resulting in a stronger stabi
 lity threshold than previously known results. Our result is analogous to a
 n earlier result of Bedrossian for the Vlasov-Poisson-Fokker-Planck system
  with the same threshold. However\, unlike in the Fokker-Planck case\, the
  linear operator cannot be inverted explicitly in the Landau case. For thi
 s reason\, we develop a strategy based purely on energy methods\, which co
 mbines Guo&rsquo\;s energy method with the hypocoercive energy and the com
 muting vector field method.\n\n\n\n
LOCATION:Seminar Room 1\, Newton Institute
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