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 : https://doi.org/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
@article{COCV_2009__15_3_569_0,
author = {Figalli, Alessio},
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},
number = {3},
year = {2009},
doi = {10.1051/cocv:2008032},
zbl = {1167.49040},
mrnumber = {2542573},
language = {en},
url = {http://www.numdam.org/item/COCV_2009__15_3_569_0/}
}
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/item/COCV_2009__15_3_569_0/

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