On local smooth solutions for the Vlasov equation with the potential of interactions \(\pm r^{-2}\) (Q1777848)
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scientific article; zbMATH DE number 2171778
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On local smooth solutions for the Vlasov equation with the potential of interactions \(\pm r^{-2}\) |
scientific article; zbMATH DE number 2171778 |
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On local smooth solutions for the Vlasov equation with the potential of interactions \(\pm r^{-2}\) (English)
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25 May 2005
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Summary: For the initial value problem for the Vlasov equation with the potential of interactions \(\pm r^{-2}\), we prove the existence and uniqueness of a local solution with values in the Schwartz space \(S\) of infinitely differentiable functions rapidly decaying at infinity.
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mean-field approximations
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interacting classical particles
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Vlasov dynamics
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existence
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uniqueness
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local solution
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Schwartz space
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