Journal
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Volume 516, Issue 1, Pages -Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2022.126483
Keywords
Axisymmetric MHD equations; Global well-posedness; Critical spaces
Categories
Funding
- Double thousand plan of Jiangxi province [jxsq2019201063]
- Natural Science Foundation of Jiangxi [20202BABL201008]
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In this study, we investigate the globally well-posedness of the axisymmetric MHD system with nearly critical initial data having a special structure. It is proved that if the scaling-invariant norm parallel to ru(0)(theta)parallel to(L8) is sufficiently small, then this system is globally well-posed.
In this work, we investigate the axisymmetric MHD system with nearly critical initial data having the special structure: u0 = u(0)(r)e(r)+ u(0)(theta)e(theta)+ u(0)(z)e(z), b(0) = b(0)(theta)e(theta). It is proved that if the scaling-invariant norm parallel to ru(0)(theta)parallel to(L8) is sufficiently small, then this system is globally well-posed. (c) 2022 Elsevier Inc. All rights reserved.
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