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SUMMARY:Boltzmann equation and heat conduction - Chanwoo Kim (University o
 f Cambridge)
DTSTART:20120509T150000Z
DTEND:20120509T163000Z
UID:TALK37765@talks.cam.ac.uk
CONTACT:Marc Briant
DESCRIPTION:In the study of the heat transfer in the Boltzmann theory\, th
 e\nbasic problem is to construct solutions to the steady problem for the\n
 Boltzmann equation in a general bounded domain with diffuse reflection\nbo
 undary conditions corresponding to a non-isothermal temperature of the\nwa
 ll. We discuss about the recent development of theory to characterize\nsuc
 h a solution mathematically. As an application of the theory combining\nwi
 th available numerical simulations\, we predict the break-down of the\nFou
 rier law in the kinetic regime. This is a joint work with Esposito\, Guo\,
 \nMarra In the talk we will start from basic stuffs and the preprint is\na
 vailable in ARXIV ( http://arxiv.org/abs/1111.5843 ).
LOCATION:MR14\, CMS
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