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A geometric lower bound on Grad's number

Published online by Cambridge University Press:  26 April 2008

Alessio Figalli
Alessio Figalli*
Affiliation:
Université de Nice-Sophia Antipolis, Laboratoire J.-A. Dieudonné, UMR 6621, Parc Valrose, 06108 Nice Cedex 02, France; figalli@unice.fr
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Abstract

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.

Keywords

Grad's numberKorn-type inequalityaxisymmetry of the domaintrend to equilibrium for the Boltzmann equation
Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 15 , Issue 3 , July 2009 , pp. 569 - 575
Copyright
© EDP Sciences, SMAI, 2008

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References

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