Pointwise convergence to a Maxwellian for a Broadwell model with a supersonic boundary

Shijin Deng; Weike Wang; Shih-Hsien Yu

doi:10.3934/nhm.2007.2.383

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2007, Volume 2, Issue 3: 383-395. Doi: 10.3934/nhm.2007.2.383

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Pointwise convergence to a Maxwellian for a Broadwell model with a supersonic boundary

1.
Department of Mathematics, Shanghai Jiao Tong University, 800 Dong Chuan Road, 200240, Shanghai
2.
Department of Mathematics, City University of Hong Kong, 83 Tat Chee Avenue, Kowloon Tong, Hong Kong

Received: February 28, 2007

Revised: April 30, 2007

Published: August 2007

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Abstract

In this paper, we consider an initial-boundary value problem for the Broadwell model with a supersonic physical boundary. By using the Green’s function established in [6] and weighted energy estimates, we show that the solution converges pointwise to the equilibrium state when the perturbations are sufficiently small.

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Mathematics Subject Classification: Primary: 82C40.

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