University of Cambridge > Talks.cam > Geometric Analysis and Partial Differential Equations seminar > Global stability of the Boltzmann equation nearby equilibrium

Global stability of the Boltzmann equation nearby equilibrium

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

  • UserBob Strain (University of Pennsylvania)
  • ClockMonday 24 May 2010, 16:00-17:00
  • HouseCMS, MR13.

If you have a question about this talk, please contact Prof. Mihalis Dafermos.

The Boltzmann equation has been a cornerstone of statistical physics for about 140 years, but because of the extremely singular nature of the Boltzmann collision operator, the tools necessary for rigorous study of this equation (without relying on the so-called “Grad cutoff” assumption) have only recently emerged. This central equation provides a basic example where a wide range of geometric fractional derivatives occur in a physical model of the natural world.

We explain our recent proof of global stability for the Boltzmann equation 1872 with the physically important collision kernels derived by Maxwell 1867 for the full range of inverse power intermolecular potentials, r^{-(p-1)} with p > 2 and more generally. Our solutions are perturbations of the Maxwellian equilibrium states, and they decay rapidly in time to equilibrium as predicted by celebrated the Boltzmann H-theorem.

This is joint work with P. Gressman.

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.

 

© 2006-2019 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity