University of Cambridge > Talks.cam > Geometric Analysis and Partial Differential Equations seminar > Global strong solution and decay of Vlasov-Poisson-Boltzmann in bounded domains

Global strong solution and decay of Vlasov-Poisson-Boltzmann in bounded domains

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

  • UserDonghyun Lee, Univ. Wisconsin-Madison
  • ClockMonday 02 October 2017, 14:00-15:00
  • HouseCMS, MR13.

If you have a question about this talk, please contact Ariane Trescases.

When dilute charged particles are confined in a bounded domain, boundary effects are crucial for dynamics of particles which can be modeled by the Vlasov-Poisson-Boltzmann system. Considering a diffuse boundary condition, we construct a unique global-in-time solution in convex domains. This construction is based on L2 - L\infty framework with a new weighted W{1,p} estimate of distribution functions and C{2,\alpha}-estimate of self-consistent electric potentials. Furthermore we prove an exponential convergence of distribution functions toward a global Maxwellian.

This talk is part of the Geometric Analysis and Partial Differential Equations seminar series.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.

 

© 2006-2017 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity