A proof of the smoothing properties of the positive part of Boltzmann's kernel (Q1265417)
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scientific article; zbMATH DE number 1203673
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A proof of the smoothing properties of the positive part of Boltzmann's kernel |
scientific article; zbMATH DE number 1203673 |
Statements
A proof of the smoothing properties of the positive part of Boltzmann's kernel (English)
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16 May 1999
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The Boltzmann quadratic kernel is a nonlinear operator modelling binary collisions occurring in a rarefied monoatomic gas. The authors prove smoothing properties and obtain corresponding estimates for the quadratic positive part of this operator for two types of its (functional) kernel.
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integral operator
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nonlinear operator
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Sobolev space
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Boltzmann quadratic kernel
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rarefied monoatomic gas
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nonlinear Boltzmann equation
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