Stability of the nonrelativistic Vlasov-Maxwell-Boltzmann system for angular non-cutoff potentials (Q1941516)
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scientific article; zbMATH DE number 6144073
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Stability of the nonrelativistic Vlasov-Maxwell-Boltzmann system for angular non-cutoff potentials |
scientific article; zbMATH DE number 6144073 |
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Stability of the nonrelativistic Vlasov-Maxwell-Boltzmann system for angular non-cutoff potentials (English)
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13 March 2013
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The authors study the Cauchy problem and stability properties of solutions for a nonrelativistic Vlasov-Maxwell-Boltzmann system. They treat a two-component plasma with assumed binary collisions in presence of a self-consistent electromagnetic field. Stable convergent solutions to the Cauchy problem are obtained by applying a new time-velocity weighted energy method that includes the non-cutoff Boltzmann operator, and a special temporal energy norm.
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Vlasov-Maxwell-Boltzmann systems
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Cauchy problem
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stability
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non-cutoff potentials
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energy method
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time-velocity weight
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two-component plasma
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binary collisions
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