Validity of Prandtl layer expansions for steady magnetohydrodynamics over a rotating disk

Validity of Prandtl layer expansions for steady magnetohydrodynamics over a rotating disk

This paper is concerned with the validity of Prandtl boundary layer expansions for 2D steady viscous incompressible magnetohydrodynamic (MHD) flows over a rotating disk {(θ, r) ∈ [0, θ0] × [R0, ∞)} with a moving curved boundary {r = R0}. We establish the validity of boundary layer expansions and con...

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Veröffentlicht in:Journal of mathematical physics 2023-02, Vol.64 (2)
Hauptverfasser: Ding, Shijin, Wang, Cuiyu
Format: Artikel
Sprache:eng
Schlagworte:
Fluid flow
Incompressible flow
Magnetohydrodynamics
Physics
Rotating disks
Two dimensional boundary layer
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Zusammenfassung:This paper is concerned with the validity of Prandtl boundary layer expansions for 2D steady viscous incompressible magnetohydrodynamic (MHD) flows over a rotating disk {(θ, r) ∈ [0, θ0] × [R0, ∞)} with a moving curved boundary {r = R0}. We establish the validity of boundary layer expansions and convergence rates in the Sobolev sense. Then, we extend the results by Iyer [Arch. Ration. Mech. Anal. 224(2), 421–469 (2017)] for Navier–Stokes equations to the MHD flows.
ISSN:0022-2488
1089-7658
DOI:10.1063/5.0090888