University of Cambridge > Talks.cam > Geometric Analysis and Partial Differential Equations seminar > Regularity of the Boltzmann Equation in Bounded Domains

Regularity of the Boltzmann Equation in Bounded Domains

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

  • UserAriane Trescases, ENS Cachan
  • ClockMonday 29 June 2015, 15:00-16:00
  • HouseCMS, MR13.

If you have a question about this talk, please contact Amit Einav.

n the case of a strictly convex domain, the singularities happen specifically on the (grazing) boundary: in this case, with the help of a “kinetic” distance towards the grazing boundary, we prove a result of Sobolev regularity for the solution. In the case of a non-convex domain, the singular trajectories cross the domain and the singularity is therefore more serious: in this case we obtain the BV regularity of the solution. These are optimal results for regularity. This work is a joint work with Yan Guo, Chanwoo Kim and Daniela Tonon.

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.

 

© 2006-2020 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity