首页|Global existence of strong solutions to the multi-dimensional inhomogeneous incompressible MHD equations
Global existence of strong solutions to the multi-dimensional inhomogeneous incompressible MHD equations
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NSTL
Elsevier
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 alpha+beta-1 + n/2 satisfying 1 <=beta <=alpha <= min{ 3 beta/2 , n/2 , 1 + n/4 } and max { n/4 , n +1/6 } < alpha 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. (c) 2022 Elsevier Inc. All rights reserved.
NSTL
Elsevier
