# A geometric lower bound on Grad's number

created by figalli on 26 Feb 2008
modified on 23 Apr 2008

[BibTeX]

Accepted Paper

Inserted: 26 feb 2008
Last Updated: 23 apr 2008

Journal: ESAIM Control Optim. Calc. Var.
Year: 2008

Abstract:

In this note we provide a new geometric lower bound on the so-called Grad's number of a domain $\Omega$ in terms of how far $\Omega$ is from being axisymmetric. Such an estimate is important in the study of the trend to equilibrium for the Boltzmann equation for dilute gases.