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Research Article | Open Access

Liouville-type theorem for the stationary fractional compressible MHD system in anisotropic Lebesgue spaces

Wenda Pei, Yong Zeng( )
School of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing 400067, China
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Abstract

This paper is devoted to the study of the Liouville-type theorem of the stationary fractional compressible MHD systems in anisotropic Lebesgue spaces in R 3 . We showed that the solution is trivial when certain anisotropic integrability conditions are satisfied in terms of the velocity and the magnetic field components.

Keywords

fractional compressible MHD systemLiouville-type theoremanisotropic Lebesgue spaces

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Electronic Research Archive
Volume 33 Issue 3,
March 2025
Pages 1306-1322
DOI: 10.3934/era.2025058

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Cite this article:
Pei W, Zeng Y. Liouville-type theorem for the stationary fractional compressible MHD system in anisotropic Lebesgue spaces. Electronic Research Archive, 2025, 33(3): 1306-1322. https://doi.org/10.3934/era.2025058

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Received: 28 November 2024
Revised: 18 February 2025
Accepted: 24 February 2025
Published: 15 March 2025
©2025 the Author(s), licensee AIMS Press.

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