<p>We prove the boundary layer separation of the two-dimensional steady Prandtl equation with magnetic damping under an appropriate adverse pressure gradient. We also obtain the separation rate of the solution and the local behavior of the solution near the separation point. Our results show that magnetic damping exerts a suppressive effect on boundary layer separation.</p>

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Boundary layer separation and local behavior of the steady Prandtl equation with magnetic damping

  • Yanjun Chen,
  • Xinhan Zhang,
  • Hong Luo

摘要

We prove the boundary layer separation of the two-dimensional steady Prandtl equation with magnetic damping under an appropriate adverse pressure gradient. We also obtain the separation rate of the solution and the local behavior of the solution near the separation point. Our results show that magnetic damping exerts a suppressive effect on boundary layer separation.