Global existence of strong solutions to the multi-dimensional inhomogeneous incompressible MHD equations

Baoquan Yuan and Xueli Ke

Applied Mathematics and Computation, 2022, vol. 427, issue C

Abstract: This paper is concerned with the Cauchy problem of the multi-dimensional incompressible magnetohydrodynamic equations with inhomogeneous density and fractional dissipation. It is shown that when α+β=1+n2 satisfying 1≤β≤α≤min{3β2,n2,1+n4} and max{n4,n+16}<α for n≥3, the inhomogeneous incompressible MHD equations have a unique global strong solution for the initial data in some Sobolev spaces without requiring small conditions.

Keywords: Magnetohydrodynamic equations; Inhomogeneous; Global strong solution (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:427:y:2022:i:c:s0096300322002326

DOI: 10.1016/j.amc.2022.127154

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