On the global existence and uniqueness of solutions to Prandtl.s system

Authors
Xu," Xin Ying",Zhao," Jun Ning
Citation
Xu," Xin Ying",zhao," Jun Ning, On the global existence and uniqueness of solutions to Prandtl.s system, Acta mathematica Sinica. English series (Print) , 25(1), 2009, pp. 109-132
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
25
Issue
1
Year of publication
2009
Pages
109 - 132
Database
ACNP
SICI code
Abstract
In this paper, we consider the Prandtl system for the non-stationary boundary layer in the vicinity of a point where the outer flow has zero velocity. It is assumed that U(t, x, y) = x m U 1(t, x), where 0 . x . L and m . 1. We establish the global existence of the weak solution to this problem. Moreover the uniqueness of the weak solution is proved.