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.