| Issue |
ESAIM: COCV
Volume 15, Number 3, July-September 2009
|
|
|---|---|---|
| Page(s) | 569 - 575 | |
| DOI | https://doi.org/10.1051/cocv:2008032 | |
| Published online | 26 April 2008 | |
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; figalli@unice.fr
Received:
13
January
2008
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
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