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Research Article | Open Access

Global regularity to the 3D Cauchy problem of inhomogeneous magnetic Bénard equations with vacuum

Wen Wang, Yang Zhang( )
School of Medical Information, Changchun University of Chinese Medicine, Changchun 130117, China
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Abstract

This paper deals with the Cauchy problem of 3D inhomogeneous incompressible magnetic Bénard equations. Through some time-weighted a priori estimates, we prove the global existence of strong solution provided that the upper boundedness of initial density and initial magnetic field satisfy some smallness condition. Furthermore, we also obtain large time decay rates of the solution.

Keywords

inhomogeneous casemagnetic Bénard equationsglobal regularitydecay estimates
CLC number: 35Q35, 76D03, 76W05

References

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AIMS Mathematics
Volume 8 Issue 8,
August 2023
Pages 18528-18545
DOI: 10.3934/math.2023942

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Cite this article:
Wang W, Zhang Y. Global regularity to the 3D Cauchy problem of inhomogeneous magnetic Bénard equations with vacuum. AIMS Mathematics, 2023, 8(8): 18528-18545. https://doi.org/10.3934/math.2023942

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Received: 20 April 2023
Revised: 21 May 2023
Accepted: 26 May 2023
Published: 15 August 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)