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

Wenda Pei; Yong Zeng; Wenda Pei; Yong Zeng

doi:10.3934/era.2025058

Electronic Research Archive

2025, Volume 33, Issue 3: 1306-1322. doi: 10.3934/era.2025058

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Research article

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

Received: 28 November 2024 Revised: 18 February 2025 Accepted: 24 February 2025 Published: 05 March 2025

This paper is devoted to the study of the Liouville-type theorem of the stationary fractional compressible MHD systems in anisotropic Lebesgue spaces in $ \mathbb{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.
- fractional compressible MHD system,
- Liouville-type theorem,
- anisotropic Lebesgue spaces
Citation: Wenda Pei, Yong Zeng. Liouville-type theorem for the stationary fractional compressible MHD system in anisotropic Lebesgue spaces[J]. Electronic Research Archive, 2025, 33(3): 1306-1322. doi: 10.3934/era.2025058

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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 $ \mathbb{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.

References

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