Global solutions of certain plasma fluid models in three-dimension

Yan Guo; Alexandru D. Ionescu; Benoit Pausader

doi:10.1063/1.4903254

Global solutions of certain plasma fluid models in three-dimension

Yan Guo, Alexandru D. Ionescu, Benoit Pausader

Mathematics

Research output: Contribution to journal › Article › peer-review

18 Scopus citations

Abstract

We consider several dispersive time-reversible plasma fluid models in 3 dimensions: the Euler-Poisson 2-fluid model, the relativistic Euler-Maxwell 1-fluid model, and the relativistic Euler-Maxwell 2-fluid model. In all of these models, we prove global stability of the constant background solutions, in the sense that small, smooth, and irrotational perturbations lead to smooth global solutions that decay as t → ∞.

Original language	English (US)
Article number	123102
Journal	Journal of Mathematical Physics
Volume	55
Issue number	12
DOIs	https://doi.org/10.1063/1.4903254
State	Published - Dec 17 2014

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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10.1063/1.4903254

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title = "Global solutions of certain plasma fluid models in three-dimension",

abstract = "We consider several dispersive time-reversible plasma fluid models in 3 dimensions: the Euler-Poisson 2-fluid model, the relativistic Euler-Maxwell 1-fluid model, and the relativistic Euler-Maxwell 2-fluid model. In all of these models, we prove global stability of the constant background solutions, in the sense that small, smooth, and irrotational perturbations lead to smooth global solutions that decay as t → ∞.",

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N2 - We consider several dispersive time-reversible plasma fluid models in 3 dimensions: the Euler-Poisson 2-fluid model, the relativistic Euler-Maxwell 1-fluid model, and the relativistic Euler-Maxwell 2-fluid model. In all of these models, we prove global stability of the constant background solutions, in the sense that small, smooth, and irrotational perturbations lead to smooth global solutions that decay as t → ∞.

AB - We consider several dispersive time-reversible plasma fluid models in 3 dimensions: the Euler-Poisson 2-fluid model, the relativistic Euler-Maxwell 1-fluid model, and the relativistic Euler-Maxwell 2-fluid model. In all of these models, we prove global stability of the constant background solutions, in the sense that small, smooth, and irrotational perturbations lead to smooth global solutions that decay as t → ∞.

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Global solutions of certain plasma fluid models in three-dimension

Abstract

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