On Analytic Solutions of the Prandtl Equations with Robin Boundary Condition in Half Space
Analysis of PDEs
2014-02-14 v1
Abstract
The existence and uniqueness of the analytic solutions to the nonlinear Prandtl equations with Robin boundary condition on a half space are proved, based on an application of abstract Cauchy-Kowalewski theorem. These equations arise in the inviscid limit of incompressible Navier-Stokes equations with Navier-slip boundary condition in which the slip length is square root of viscosity, as formally derived in [26].
Keywords
Cite
@article{arxiv.1402.3158,
title = {On Analytic Solutions of the Prandtl Equations with Robin Boundary Condition in Half Space},
author = {Yutao Ding and Ning Jiang},
journal= {arXiv preprint arXiv:1402.3158},
year = {2014}
}