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

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

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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

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.
- the Broadwell model,
- the Green's function,
- pointwise estimate,
- nonlinear stability
Citation: Shijin Deng, Weike Wang, Shih-Hsien Yu. Pointwise convergence to a Maxwellian for a Broadwell model with a supersonic boundary[J]. Networks and Heterogeneous Media, 2007, 2(3): 383-395. doi: 10.3934/nhm.2007.2.383

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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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