Title
The Vlasov-Poisson-Landau system in the weakly collisional regime
Abstract
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. Joint work with Jonathan Luk and Toan Nguyen.
Access the event online
Click here to access this online seminar. You should be able to watch the event via a browser window, or via the Microsoft Teams desktop application. The meeting will start at around 5.00pm London time – please note the change from our usual time.