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Global Smooth Ion Dynamics in the Euler-Poisson System

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Abstract

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.

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Authors and Affiliations

  1. Division of Applied Mathematics, Brown University, Providence, RI, 02912, USA

    Yan Guo

  2. Mathematics Department, Brown University, Providence, RI, 02912, USA

    Benoit Pausader

Authors
  1. Yan Guo
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  2. Benoit Pausader
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Correspondence to Yan Guo.

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Communicated by P. Constantin

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Guo, Y., Pausader, B. Global Smooth Ion Dynamics in the Euler-Poisson System. Commun. Math. Phys. 303, 89–125 (2011). https://doi.org/10.1007/s00220-011-1193-1

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