Nonisotropic solutions of the Boltzmann equation (Q1094262)
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scientific article; zbMATH DE number 4025044
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Nonisotropic solutions of the Boltzmann equation |
scientific article; zbMATH DE number 4025044 |
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Nonisotropic solutions of the Boltzmann equation (English)
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1986
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We consider the relaxation to equilibrium of a spatially uniform Maxwellian gas. We expand the solution of the nonlinear Boltzmann equation in a truncated series of orthogonal functions. We integrate numerically the equation for nonisotropic initial conditions. For certain simple conditions we find interesting proximity effects and other transient relaxation phenomena at thermal energies. Furthermore, we define a resummation of the orthogonal expansion which is more convenient than the original one for the numerical analysis of the relaxation process.
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Maxwell molecules
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moment equations
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numerical calculations
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relaxation to equilibrium
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spatially uniform Maxwellian gas
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nonlinear Boltzmann equation
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truncated series of orthogonal functions
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nonisotropic initial conditions
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transient relaxation phenomena
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thermal energies
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resummation of the orthogonal expansion
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