On the Hamilton-Jacobi variational formulation of the Vlasov equation (Q2906658)
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scientific article; zbMATH DE number 6077677
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the Hamilton-Jacobi variational formulation of the Vlasov equation |
scientific article; zbMATH DE number 6077677 |
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5 September 2012
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On the Hamilton-Jacobi variational formulation of the Vlasov equation (English)
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The Hamilton-Jacobi formulation of Vlasov-like systems has been developed by this author and D. Pfirsch in a series of papers since the mid 1980s. Here a very short overview of this method is given. The formulation is general, and applies to Maxwell-Vlasov systems, guiding centers and gyrokinetic approaches to a plasma with any number of species. It is prepared so as to be applicable not only to classical but also to the relativistic versions of the theories (Vlasov-Einstein system). This paper, however, concentrates on the simplest context of Vlasov-Poisson systems, recalling the obtained results for the audience of this conference.NEWLINENEWLINEFor the entire collection see [Zbl 1238.00013].
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