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• W3102469914 abstract "We study a basic plasma physics model—the one-fluid Euler–Poisson system on the square torus, in which a compressible electron fluid flows under its own electrostatic field. In this paper we prove long-term regularity of periodic solutions of this system in 2 spatial dimensions with small data. Our main conclusion is that on a square torus of side length R, if the initial data is sufficiently close to a constant solution, then the solution is wellposed for a time at least $${R/(epsilon^{2}({rm log} R)^{O(1)})}$$ , where $${epsilon}$$ is the size of the initial data." @default.
• W3102469914 created "2020-11-23" @default.
• W3102469914 creator A5028080035 @default.
• W3102469914 date "2019-03-01" @default.
• W3102469914 modified "2023-09-26" @default.
• W3102469914 title "Long-Term Regularity of the Periodic Euler–Poisson System for Electrons in 2D" @default.
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• W3102469914 doi "https://doi.org/10.1007/s00220-019-03395-7" @default.
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