Boltzmann equation and heat conduction

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• Chanwoo Kim (University of Cambridge)
• Wednesday 09 May 2012, 16:00-17:30
• MR14, CMS.

If you have a question about this talk, please contact Marc Briant.

In the study of the heat transfer in the Boltzmann theory, the basic problem is to construct solutions to the steady problem for the Boltzmann equation in a general bounded domain with diffuse reflection boundary conditions corresponding to a non-isothermal temperature of the wall. We discuss about the recent development of theory to characterize such a solution mathematically. As an application of the theory combining with available numerical simulations, we predict the break-down of the Fourier law in the kinetic regime. This is a joint work with Esposito, Guo, Marra In the talk we will start from basic stuffs and the preprint is available in ARXIV ( http://arxiv.org/abs/1111.5843 ).

This talk is part of the Cambridge Analysts' Knowledge Exchange series.

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