Global Smooth Ion Dynamics in the Euler-Poisson System

A fundamental two-fluid model for describing dynamics of a plasma is the Euler-Poisson system, in which compressible ion and electron fluids interact with their self-consistent electrostatic force. Global smooth electron dynamics were constructed in Guo (Commun Math Phys 195:249–265, 1998 ) due to d...

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Bibliographic Details
Published inCommunications in mathematical physics Vol. 303; no. 1; pp. 89 - 125
Main Authors Guo, Yan, Pausader, Benoit
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer-Verlag 01.04.2011
Springer
Subjects
Classical and Quantum Gravitation
Complex Systems
Exact sciences and technology
Mathematical and Computational Physics
Mathematical methods in physics
Mathematical Physics
Other topics in mathematical methods in physics
Physics
Physics and Astronomy
Quantum Physics
Relativity Theory
Theoretical
Commun Math Phys
Global Solution
Zakharov Equation
Poisson System
Multiplier Theorem
Compressible fluid
Smooth dynamics
Fluid dynamics
Dynamic model
Electric fields
Global solution
Mathematical physics
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Summary:A fundamental two-fluid model for describing dynamics of a plasma is the Euler-Poisson system, in which compressible ion and electron fluids interact with their self-consistent electrostatic force. Global smooth electron dynamics were constructed in Guo (Commun Math Phys 195:249–265, 1998 ) due to dispersive effect of the electric field. In this paper, we construct global smooth irrotational solutions with small amplitude for ion dynamics in the Euler-Poisson system.
ISSN:0010-3616
1432-0916
DOI:10.1007/s00220-011-1193-1