Validity of Prandtl layer theory for steady magnetohydrodynamics over a moving plate with nonshear outer ideal MHD flows

Abstract

In this paper, we validate the boundary layer theory for 2D steady viscous incompressible magnetohydrodynamics (MHD) equations in a domain $\{(X,Y)\in [0,L]\times {\mathbb{R}}_{+}\}$ under the assumption of a moving boundary at $\{Y=0\}$. The validity of the boundary layer expansion and the convergence rates are established in Sobolev sense. We extend the results for the case with the shear outer ideal MHD flows [3] to the case of the nonshear flows.

61 pages

References in corpus (3)

• Global-in-$x$ Stability of Steady Prandtl Expansions for 2D Navier-Stokes Flows
• On the Steady Prandtl Boundary Layer Expansions
• Verification of Prandtl boundary layer ansatz for the steady electrically conducting fluids with a moving physical boundary