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

2020/09/14 by Shijin Ding, Ding, Shijin, Zhijun Ji +3
Mathematics · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Navier-Stokes equation solutions #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.2009.06247

openalex publication_date 2020/09/14 · openalex created_date 2020/09/21 · openalex updated_date 2026/07/28

Abstract

In this paper, we validate the boundary layer theory for 2D steady viscous incompressible magnetohydrodynamics (MHD) equations in a domain \(X, Y)∈[0, L]×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.

Citations

• Global-in-x Stability of Steady Prandtl Expansions for 2D\n Navier-Stokes Flows

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