Leading order asymptotics of stationary Navier-Stokes ows in the presence of a wall

Abstract

We consider the problem of a body moving within an incompressible ‡uid at constant speed parallel to a wall, in an otherwise unbounded domain. We give a detailed description of the asymptotic behavior on the ‡uid ‡ow in a half-space using as a starting point the theory of the existence of solutions which uses the coordinate perpendicularly to the wall as time variable. Contents 1 Introduction 2 2 Preliminaries 3 3 Asymptotic behavior of û1 5 4 Asymptotic behavior of û2 13 5 Asymptotic behavior of û3 19 A Main technical lemma 20 B Representation in direct space 23 B.1 Expression on uas 1 (x; y; z) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23 B.2 Expression on uas 2 (x; y; z) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24 Mathematics Subject Classi…cation (2000): 35Q30, 76D05, 35B40, 35B42.

Cite this paper

@inproceedings{Guo2010LeadingOA, title={Leading order asymptotics of stationary Navier-Stokes ows in the presence of a wall}, author={Zhengguang Guo and Peter Wittwery and Yong Zhouz}, year={2010} }