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- Bae, Hantaek
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SOLVABILITY OF THE FREE BOUNDARY VALUE PROBLEM OF THE NAVIER-STOKES EQUATIONS
- Author(s)
- Bae, Hantaek
- Issued Date
- 2011-03
- Citation
- DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, v.29, no.3, pp.769 - 801
- Abstract
- In this paper, we study the incompressible Navier-Stokes equations on a moving domain in R(3) of finite depth, bounded above by the free surface and bounded below by a solid flat bottom. We prove that there exists a unique, global-in-time solution to the problem provided that the initial velocity field and the initial profile of the boundary are sufficiently small in Sobolev spaces
- Publisher
- AMER INST MATHEMATICAL SCIENCES
- ISSN
- 1078-0947
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