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arXiv · 1811.11412

Symmetrical Prandtl boundary layer expansions of steady Navier-Stokes equations on bounded domain

Shijin Ding·Quanrong Li
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Abstract

This paper is concerned with the validity of the Prandtl boundary layer theory in the inviscid limit of the steady incompressible Navier-Stokes equations, which is an extension of the pioneer paper (Y. Guo et al., 2017, Ann. PDE) from a domain of $[0,L]\times\mathbb{R}_+$ to $[0,L]\times[0,2]$. Under the symmetry assumption, we establish the validity of the Prandtl boundary layer expansions and the error estimates. The convergence rate as $\e\rightarrow 0$ is also given.

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Shijin Ding, Quanrong Li. 2018-11-28. Symmetrical Prandtl boundary layer expansions of steady Navier-Stokes equations on bounded domain. https://arxiv.org/abs/1811.11412

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