Pointwise convergence to Knudsen layers of the Boltzmann equation (Q1006874)
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scientific article; zbMATH DE number 5533190
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Pointwise convergence to Knudsen layers of the Boltzmann equation |
scientific article; zbMATH DE number 5533190 |
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Pointwise convergence to Knudsen layers of the Boltzmann equation (English)
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26 March 2009
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The purpose of the present paper is two-fold. Firstly, it provides a detailed analysis of the non-linear time-asymptotic stability of the Knudsen layers involving (and it is its main innovation) the Green's function of the Boltzmann equation. Secondly, it reconsiders some large-time stability problems, and it is shown that using Green's function is a useful way to get results which have previously obtained by the \textit{S. Ukai, T. Yang} and \textit{S.-H. Yu} [Commun. Math. Phys. 236, No. 3, 373--393 (2003; Zbl 1041.82017); ibid. 244, No. 1, 99--109 (2004; Zbl 1083.82028)].
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Boltzmann equation
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Knudsen layers
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Greens function
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asymptotic stability
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