# American Institute of Mathematical Sciences

December  2013, 6(4): 865-882. doi: 10.3934/krm.2013.6.865

## Nonlinear stability of Broadwell model with Maxwell diffuse boundary condition

 1 Department of Mathematics, Shanghai Jiao Tong University, Shanghai 200240, China 2 Department of Mathematics, National University of Singapore, 10 Lower Kent Ridge Road, 119076, Singapore, Singapore

Received  August 2013 Revised  September 2013 Published  November 2013

This is a continuation of the paper [5] on the Broadwell model with conservative boundary condition. In this paper, based on the full boundary data obtained by LY algorithm and recombination lemma, we construct the Green's function for the initial boundary value problem. We also establish the pointwise convergence estimate of the solution and nonlinear stability of the global Maxwellian under sufficiently small initial perturbation.
Citation: Shijin Deng, Linglong Du, Shih-Hsien Yu. Nonlinear stability of Broadwell model with Maxwell diffuse boundary condition. Kinetic and Related Models, 2013, 6 (4) : 865-882. doi: 10.3934/krm.2013.6.865
##### References:

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##### References:
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