English

Prandtl boundary layer expansions of steady Navier-Stokes flows over a moving plate

Analysis of PDEs 2014-11-26 v1 Mathematical Physics math.MP

Abstract

This paper concerns the validity of the Prandtl boundary layer theory in the inviscid limit for steady incompressible Navier-Stokes flows. The stationary flows, with small viscosity, are considered on [0,L]×R+[0,L]\times \mathbb{R}_{+}, assuming a no-slip boundary condition over a moving plate at y=0y=0. We establish the validity of the Prandtl boundary layer expansion and its error estimates.

Keywords

Cite

@article{arxiv.1411.6984,
  title  = {Prandtl boundary layer expansions of steady Navier-Stokes flows over a moving plate},
  author = {Yan Guo and Toan T. Nguyen},
  journal= {arXiv preprint arXiv:1411.6984},
  year   = {2014}
}

Comments

46 pages, no figure