University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > The Vlasov-Poisson-Landau system in the weakly collisional regime

The Vlasov-Poisson-Landau system in the weakly collisional regime

Add to your list(s) Download to your calendar using vCal

If you have a question about this talk, please contact nobody.

FKTW02 - Frontiers in analysis of kinetic equations

Consider the Vlasov-Poisson-Landau system in the weakly collisional regime. We show that solutions near global Maxwellians exhibit enhanced dissipation and Landau damping, resulting in a stronger stability threshold than previously known results. Our result is analogous to an 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 this reason, we develop a strategy based purely on energy methods, which combines Guo’s energy method with the hypocoercive energy and the commuting vector field method.

This talk is part of the Isaac Newton Institute Seminar Series series.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.

 

© 2006-2024 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity