On the Boltzmann equation in unbounded space far from equilibrium, and the limit of zero mean free path (Q1085003)
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scientific article; zbMATH DE number 3980793
| Language | Label | Description | Also known as |
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| English | On the Boltzmann equation in unbounded space far from equilibrium, and the limit of zero mean free path |
scientific article; zbMATH DE number 3980793 |
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On the Boltzmann equation in unbounded space far from equilibrium, and the limit of zero mean free path (English)
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1986
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The author formulates and solves the Cauchy problem for the nonlinear Boltzmann equation in full space within the framework of nonstandard analysis. The initial data have arbitrary size with finite mass, energy and entropy. The limit of vanishing mean free path is studied. The existing standard result for the spatially homogeneous case is obtained as a corollary.
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Cauchy problem
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nonlinear Boltzmann equation
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nonstandard analysis
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initial data
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finite mass
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vanishing mean free path
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