On the waterbag continuum (Q717447)
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scientific article; zbMATH DE number 5952954
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the waterbag continuum |
scientific article; zbMATH DE number 5952954 |
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On the waterbag continuum (English)
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4 October 2011
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A Vlasov type equation on a period interval (modelling a one-dimensional periodic plasma) is studied with regards to a special class of exact weak solutions known as the waterbag model. Existence of a continuum of regular waterbags is shown. The proof is based on a-priori estimates of terms associated with Riemann invariants and uses harmonic analysis, Riemann-Hilbert boundary value solution theory and singular integral operators.
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Vlasov equation
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waterbag model
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waterbag continuum
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Riemann invariants
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