On the similarity solutions for a steady MHD equation

2006/11/06 by Jean-David Hoernel, Hoernel, Jean-David
Mathematics · Physics and Astronomy · #Analysis of PDEs (math.AP) #Classical Physics (physics.class-ph) #FOS: Mathematics #FOS: Physical sciences #math.AP #physics.class-ph

paper · pdf · doi:10.48550/arxiv.physics/0611050

Article à paraître dans la revue : Comm. in Nonl. Sci. and Num. Sim

arxiv created 2006/11/06 · arxiv updated 2009/12/01

Abstract

In this paper, we investigate the similarity solutions for a steady laminar incompressible boundary layer equations governing the Magnetohydrodynamic (MHD) flow near the forward stagnation point of two-dimensional and axisymmetric bodies. This leads to the study of a boundary value problem involving a third order autonomous ordinary differential equation. Our main results are the existence, uniqueness and nonexistence for concave or convex solutions.

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