Global solution of the initial value problem for the Boltzmann equation near a local Maxwellian (Q1116839)
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scientific article; zbMATH DE number 4089184
| Language | Label | Description | Also known as |
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| English | Global solution of the initial value problem for the Boltzmann equation near a local Maxwellian |
scientific article; zbMATH DE number 4089184 |
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Global solution of the initial value problem for the Boltzmann equation near a local Maxwellian (English)
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1988
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For molecules with a cut-off, we solve the initial value problem for the nonlinear, spatially dependent Boltzmann equation when the initial density is sufficiently close to a locally Maxwellian function. The result is obtained for Maxwellian and weak interactions and achieved through a suitable application of the iteration scheme of \textit{S. Kaniel} and \textit{M. Shinbrot} [Commun. Math. Phys. 58, 65-84 (1978; Zbl 0371.76061)].
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nonlinear, spatially dependent Boltzmann equation
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locally Maxwellian function
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