Remarks on global regularity for the 3D MHD system with damping

Zujin Zhang, Chupeng Wu and Zheng-an Yao

Applied Mathematics and Computation, 2018, vol. 333, issue C, 1-7

Abstract: We investigate the Cauchy problem for the 3D MHD system with damping terms |u|α−1u and |b|β−1b (α, β ≥ 1), and show that the strong solution exists globally and uniquely if one of the following four conditions holds, (1) 3≤α≤278,β≥4; (2) 278<α≤72,β≥72α−5; (3) 72<α<4,β≥5α+72α; (4) α ≥ 4, β ≥ 1. This improves the previous results significantly.

Keywords: MHD equations; Navier–Stokes system; Damping; Strong solutions (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:333:y:2018:i:c:p:1-7

DOI: 10.1016/j.amc.2018.03.047

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