Conference proceeding
Short-time well-posedness of free-surface problems in irrotational 3D fluids: PROCEEDINGS OF THE 11TH INTERNATIONAL CONFERENCE ON HYPERBOLIC PROBLEMS
HYPERBOLIC PROBLEMS: THEORY, NUMERICS, APPLICATIONS, pp 307-314
01 Jan 2008
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Abstract
We discuss the proof of short-time well-posedness for free-surface problems in irrotational three-dimensional fluids. We consider three situations: the vortex sheet with surface tension, the water wave, and Darcy flow. A common framework is described for treating each of these problems. In this framework, we choose convenient parameterizations and variables. In each case, we arrive at a system of evolution equations which is amenable to the use of the energy method. The work on the vortex sheet and the water wave is joint with Nader Masmoudi.
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Details
- Title
- Short-time well-posedness of free-surface problems in irrotational 3D fluids
- Creators
- D. M. Ambrose - Clemson University
- Contributors
- S BenzoniGavage (Editor)D Serre (Editor)
- Publication Details
- HYPERBOLIC PROBLEMS: THEORY, NUMERICS, APPLICATIONS, pp 307-314
- Publisher
- Springer Nature
- Number of pages
- 8
- Resource Type
- Conference proceeding
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:000254106200025
- Other Identifier
- 991019295313304721
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- Web of Science research areas
- Mathematics
- Mathematics, Applied