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- Bae, Hantaek
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A simple model of the free boundary problem of the Navier-Stokes equations without surface tension
- Author(s)
- Bae, Hantaek
- Issued Date
- 2015-09-22
- Citation
- The 3rd CAU-Kyoto U. Joint Workshop on Nonlinear PDEs
- Abstract
- In this talk, we introduce a new set of equations describing the motion of a free surface of a moving domain of infinite depth without surface tension. This system consists of the Bernoulli equation projected on the free surface and the evolution equation of the boundary. The starting point is the linearized equations derived in Dutykh-Dias (2007). We then extend this linearized equations to nonlinear equations by expanding the DirichletNeumann operator.
- Publisher
- Chung-Ang University and Kyoto Universitiy
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