Electronic Journal of Differential Equations,
Vol. 2008(2008), No. 93, pp. 1-9.
Title: Analytic solution of an initial-value problem
from Stokes flow with free boundary
Author: Xuming Xie (Morgan State Univ., Baltimore, MD, USA)
Abstract:
We study an initial-value problem arising from Stokes flow
with free boundary. If the initial data is analytic in disk
$\mathcal{R}_r$ containing the unit disk, it is proved that
unique solution, which is analytic in $\mathcal{R}_s$ for
$s\in (1,r)$, exists locally in time.
Submitted March 5, 2008. Published July 02, 2008.
Math Subject Classifications: 35Q72, 74F05, 80A22.
Key Words: Stokes flow; free boundary problem; analytic solution;
abstract Cauchy-Kovalevsky problem; initial-value problem.