Analytic solution of an initial-value problem from Stokes flow with free boundary

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 $sin (1,r)$, exists locally in time.

Bibliographic Details
Main Author: Xuming Xie
Format: Article
Language:English
Published: Texas State University 2008-07-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2008/93/abstr.html