A simple proof of well-posedness for the free-surface incompressible Euler equations
Open Access
- 1 January 2010
- journal article
- Published by American Institute of Mathematical Sciences (AIMS) in Discrete & Continuous Dynamical Systems - S
- Vol. 3 (3) , 429-449
- https://doi.org/10.3934/dcdss.2010.3.429
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 problemsKeywords
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