On the asymptotic behaviour of solutions of nonlinear kinetic equations (Q1191376)
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scientific article; zbMATH DE number 59852
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the asymptotic behaviour of solutions of nonlinear kinetic equations |
scientific article; zbMATH DE number 59852 |
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On the asymptotic behaviour of solutions of nonlinear kinetic equations (English)
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27 September 1992
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The asymptotic behaviour of the solution of the perturbed Boltzmann equation in the case when the Knudsen number \(\varepsilon\) is a small parameter is studied. It is known that the system of compressible Euler equations gives a leading term of the asymptotics as \(\varepsilon \to 0\). An estimation of the remainder of the asymptotics \(O(\varepsilon)\) in the \(C\)-norm is obtained.
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perturbed Boltzmann equation
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compressible Euler equations
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estimation of the remainder
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0.9797271
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0.93253595
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0.9211298
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0.91932154
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