A simple proof of well-posedness for the free-surface incompressible euler equations

Coutand, D; Shkoller, S

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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APA Style

Coutand, D., & Shkoller, S. (2010). A simple proof of well-posedness for the free-surface incompressible euler equations. Discrete and Continuous Dynamical Systems - Series S, 3(3), 429–449.

MLA Style

Coutand, D., and S. Shkoller. “A Simple Proof of Well-Posedness for the Free-Surface Incompressible Euler Equations.” Discrete and Continuous Dynamical Systems - Series S, vol. 3, no. 3, Discrete and Continuous Dynamical Systems - Series S, 2010, pp. 429–49.

Chicago Style

Coutand, D, and S Shkoller. 2010. “A Simple Proof of Well-Posedness for the Free-Surface Incompressible Euler Equations.” Discrete and Continuous Dynamical Systems - Series S 3 (3): 429–49.
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