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axisymmetry of the domain

ESAIM: Control, Optimisation and Calculus of Variations (1)

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A geometric lower bound on Grad's number
Alessio Figalli
Journal:

ESAIM: Control, Optimisation and Calculus of Variations / Volume 15 / Issue 3 / July 2009

Published online by Cambridge University Press:

26 April 2008, pp. 569-575

Print publication:

July 2009
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In this note we provide a new geometric lower bound on theso-called Grad's number of a domain Ω in terms of how far Ωis from being axisymmetric. Such an estimate is important in thestudy of the trend to equilibrium for the Boltzmann equation fordilute gases.