Nonlinear stability of Broadwell model with Maxwell diffuse boundary condition

Shijin Deng; Linglong Du; Shih-Hsien Yu

doi:10.3934/krm.2013.6.865

Article Contents

2013, Volume 6, Issue 4: 865-882. Doi: 10.3934/krm.2013.6.865

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Nonlinear stability of Broadwell model with Maxwell diffuse boundary condition

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

Received: July 31, 2013

Revised: August 31, 2013

Published: November 2013

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Abstract

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.

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Mathematics Subject Classification: Primary: 82C40.

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References

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