A geometric lower bound on Grad's number
Université de Nice-Sophia
Antipolis, Laboratoire J.-A. Dieudonné, UMR 6621, Parc
Valrose, 06108 Nice Cedex 02, France; email@example.com
In this note we provide a new geometric lower bound on the so-called Grad's number of a domain Ω in terms of how far Ω is from being axisymmetric. Such an estimate is important in the study of the trend to equilibrium for the Boltzmann equation for dilute gases.
Mathematics Subject Classification: 49Q20 / 49J40
Key words: Grad's number / Korn-type inequality / axisymmetry of the domain / trend to equilibrium for the Boltzmann equation
© EDP Sciences, SMAI, 2008