Smooth irrotational flows in the large to the Euler-Poisson system in \(\mathbb{R}^{3+1}\) (Q1290538)
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scientific article; zbMATH DE number 1294601
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Smooth irrotational flows in the large to the Euler-Poisson system in \(\mathbb{R}^{3+1}\) |
scientific article; zbMATH DE number 1294601 |
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Smooth irrotational flows in the large to the Euler-Poisson system in \(\mathbb{R}^{3+1}\) (English)
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2 June 1999
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The paper deals with a simple two-fluid model describing the dynamics of a plasma by means of the Euler-Poisson system, where the compressible electron field interacts with its own electric field against a constant charged ion background. The existence of a unique global solution of the Euler-Poisson system is proved. Global smooth irrotational flows are constructed with small velocity of the electron fluid.
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plasma
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irrotational flows
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Euler-Poisson system
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existence of a unique global solution
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