Affiliation:
1. School of Mathematical Sciences, South China Normal University , Guangzhou 510631, China
Abstract
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.
Funder
The Key Project of the Natural Science Foundation of China
National Natural Science Foundation of China
Natural Science Foundation of Guangdong Province
Subject
Mathematical Physics,Statistical and Nonlinear Physics
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