A geometric lower bound on Grad's number
ESAIM: Control, Optimisation and Calculus of Variations, Tome 15 (2009) no. 3, pp. 569-575.

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

DOI : 10.1051/cocv:2008032
Classification : 49Q20, 49J40
Mots-clés : Grad's number, Korn-type inequality, axisymmetry of the domain, trend to equilibrium for the Boltzmann equation 
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     title = {A geometric lower bound on {Grad's} number},
     journal = {ESAIM: Control, Optimisation and Calculus of Variations},
     pages = {569--575},
     publisher = {EDP-Sciences},
     volume = {15},
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Figalli, Alessio. A geometric lower bound on Grad's number. ESAIM: Control, Optimisation and Calculus of Variations, Tome 15 (2009) no. 3, pp. 569-575. doi : 10.1051/cocv:2008032. http://www.numdam.org/articles/10.1051/cocv:2008032/

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