We study an initial-value problem arising from Stokes flow with free boundary. If the initial data is analytic in disk containing the unit disk, it is proved that unique solution, which is analytic in for , exists locally in time.
Submitted March 5, 2008. Published July 2, 2008.
Math Subject Classifications: 35Q72, 74F05, 80A22.
Key Words: Stokes flow; free boundary problem; analytic solution; abstract Cauchy-Kovalevsky problem; initial-value problem.
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| Xuming Xie |
Department of Mathematics, Morgan State University
Baltimore, MD 21251, USA
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