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Research Article | Open Access

Large time behavior of the Euler-Poisson system coupled to a magnetic field

Yingying Chen( ), Lan Huang, Jianwei Yang
School of Mathematics and Statistics, North China University of Water Resources and Electric Power, Zhengzhou 450046, Henan Province, China
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Abstract

In this paper, the large time behavior of globally smooth solutions of the Cauchy problem for the three dimensional Euler-Poisson system of compressible fluids coupled to a magnetic field is studied. We prove that the smooth solutions (near a given constant equilibrium state) of the problem converge asymptotically to a stationary solution exponentially fast as t goes to ∞.

Keywords

stabilityasymptotic behavior of solutionsEuler-Poisson systemmagnetic field
CLC number: 35B35, 35B40, 35M10

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AIMS Mathematics
Volume 8 Issue 5,
May 2023
Pages 11460-11479
DOI: 10.3934/math.2023580

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Cite this article:
Chen Y, Huang L, Yang J. Large time behavior of the Euler-Poisson system coupled to a magnetic field. AIMS Mathematics, 2023, 8(5): 11460-11479. https://doi.org/10.3934/math.2023580

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Received: 27 January 2023
Revised: 03 March 2023
Accepted: 07 March 2023
Published: 15 May 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)