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Smooth Irrotational Flows in the Large to the Euler–Poisson System in R3+1

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Abstract:

A simple two-fluid model to describe the dynamics of a plasma is the Euler–Poisson system, where the compressible electron fluid interacts with its own electric field against a constant charged ion background. The plasma frequency produced by the electric field plays the role of „mass” term to the linearized system. Based on this „Klein–Gordon” effect, we construct global smooth irrotational flows with small velocity for the electron fluid.

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Authors and Affiliations

  1. Department of Mathematics, Princeton University Princeton, NJ 08544, USA and Brown University, Division of Applied Mathematics, Providence, RI 02912, USA, , , , , , US

    Yan Guo

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  1. Yan Guo
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Received: 27 January 1997 / Accepted: 19 November 1997

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Guo, Y. Smooth Irrotational Flows in the Large to the Euler–Poisson System in R3+1 . Comm Math Phys 195, 249–265 (1998). https://doi.org/10.1007/s002200050388

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  • DOI: https://doi.org/10.1007/s002200050388

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