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

This issue Previous Article Next Article Fluid-structure interaction in a pre-stressed tube with thick elastic walls I: the stationary Stokes problem

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: March 2007

Revised: May 2007

Published: September 2007

Abstract / Introduction Related Papers Cited by

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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