We consider a body immersed in a perfect gas and moving under the action of a constant force. Body and gas are in thermal equilibrium. We assume a stochastic interaction body/medium: when a particle of the medium hits the body, it is absorbed and immediately re-emitted with a Maxwellian distribution. This system gives rise to a microscopic model of friction. We study the approach of the body velocity to the limiting velocity and prove that, under suitable smallness assumptions, the approach to equilibrium is
Mots clés : kinetic theory of gases, Boltzmann equation, free molecular gas, friction problem, approach to equilibrium
@article{M2AN_2008__42_2_263_0, author = {Aoki, Kazuo and Cavallaro, Guido and Marchioro, Carlo and Pulvirenti, Mario}, title = {On the motion of a body in thermal equilibrium immersed in a perfect gas}, journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique}, pages = {263--275}, publisher = {EDP-Sciences}, volume = {42}, number = {2}, year = {2008}, doi = {10.1051/m2an:2008007}, mrnumber = {2405148}, zbl = {1133.76046}, language = {en}, url = {http://www.numdam.org/articles/10.1051/m2an:2008007/} }
TY - JOUR AU - Aoki, Kazuo AU - Cavallaro, Guido AU - Marchioro, Carlo AU - Pulvirenti, Mario TI - On the motion of a body in thermal equilibrium immersed in a perfect gas JO - ESAIM: Modélisation mathématique et analyse numérique PY - 2008 SP - 263 EP - 275 VL - 42 IS - 2 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/m2an:2008007/ DO - 10.1051/m2an:2008007 LA - en ID - M2AN_2008__42_2_263_0 ER -
%0 Journal Article %A Aoki, Kazuo %A Cavallaro, Guido %A Marchioro, Carlo %A Pulvirenti, Mario %T On the motion of a body in thermal equilibrium immersed in a perfect gas %J ESAIM: Modélisation mathématique et analyse numérique %D 2008 %P 263-275 %V 42 %N 2 %I EDP-Sciences %U http://www.numdam.org/articles/10.1051/m2an:2008007/ %R 10.1051/m2an:2008007 %G en %F M2AN_2008__42_2_263_0
Aoki, Kazuo; Cavallaro, Guido; Marchioro, Carlo; Pulvirenti, Mario. On the motion of a body in thermal equilibrium immersed in a perfect gas. ESAIM: Modélisation mathématique et analyse numérique, Tome 42 (2008) no. 2, pp. 263-275. doi : 10.1051/m2an:2008007. http://www.numdam.org/articles/10.1051/m2an:2008007/
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