Journal article
A simple proof of well-posedness for the free-surface incompressible euler equations
- Abstract:
- The purpose of this this paper is to present a new simple proof for the construction of unique solutions to the moving free-boundary incom-pressible 3-D Euler equations in vacuum. Our method relies on the Lagrangian representation of the fluid, and the anisotropic smoothing operation that we call horizontal convolution-by-layers. The method is general and can be ap-plied to a number of other moving free-boundary problems.
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- Publisher copy:
- 10.3934/dcdss.2010.3.429
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Bibliographic Details
- Journal:
- Discrete and Continuous Dynamical Systems - Series S
- Volume:
- 3
- Issue:
- 3
- Pages:
- 429-449
- Publication date:
- 2010-09-05
- DOI:
- EISSN:
-
1937-1179
- ISSN:
-
1937-1632
- URN:
-
uuid:0b9e320c-5472-4b7c-8cbe-d41124112fb1
- Source identifiers:
-
404771
- Local pid:
- pubs:404771
Item Description
- Language:
- English
- Keywords:
Terms of use
- Copyright date:
- 2010
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