A regularity criterion for the 3D generalized MHD system involving partial components

A regularity criterion for the 3D generalized MHD system involving partial components

This paper is devoted to establishing the global regularity involving magnetic fields and partial components of the velocity for the 3D generalized magnetohydrodynamic equations with dissipation terms −(−Δ)αu and −(−Δ)βb. We assume 1≤α=β≤32 and prove that if b,u3∈Lw(0,T;Lq(R3)) with 2αw+3q≤3(2α−1)4+...

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Veröffentlicht in:Journal of mathematical physics 2023-05, Vol.64 (5)
Hauptverfasser: Wang, Jinhuan, Tan, Wei, Nie, Yongsheng
Format: Artikel
Sprache:eng
Schlagworte:
Magnetohydrodynamic equations
Physics
Regularity
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Zusammenfassung:This paper is devoted to establishing the global regularity involving magnetic fields and partial components of the velocity for the 3D generalized magnetohydrodynamic equations with dissipation terms −(−Δ)αu and −(−Δ)βb. We assume 1≤α=β≤32 and prove that if b,u3∈Lw(0,T;Lq(R3)) with 2αw+3q≤3(2α−1)4+3(1−ϵ)4q, 3+ϵ2α−1
ISSN:0022-2488
1089-7658
DOI:10.1063/5.0143742