The theory of the nonlinear Boltzmann equation for Maxwell molecules in Fourier representation (Q678138)
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scientific article; zbMATH DE number 1000248
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The theory of the nonlinear Boltzmann equation for Maxwell molecules in Fourier representation |
scientific article; zbMATH DE number 1000248 |
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The theory of the nonlinear Boltzmann equation for Maxwell molecules in Fourier representation (English)
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2 November 1997
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The authors study the Cauchy problem for the spatially homogeneous Boltzmann equation for Maxwell molecules. Using the Fourier representation they give a simplified proof of some results of \textit{H. Tanaka} [Wahrscheinlichkeitstheor. Verw. Geb. 46, 67-105 (1978; Zbl 0389.60079)]. By means of simple geometric properties it is proved that the Tanaka functional is an entropy decreasing functional for the Boltzmann equation for Maxwell molecules.
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nonlinear Boltzmann equation
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Cauchy problem
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Maxwell molecules
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Fourier representation
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0.89717996
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0.8962762
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0.88612366
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0.88442624
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0.88395697
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