Well-posedness of the free-surface incompressible Euler equations with or without surface tension-Reference-Cited by-同舟云学术

Well-posedness of the free-surface incompressible Euler equations with or without surface tension

Published:2007-03-05 Issue:3 Volume:20 Page:829-930
ISSN:0894-0347
Container-title:Journal of the American Mathematical Society
language:en
Short-container-title:J. Amer. Math. Soc.

Author:

Coutand Daniel,Shkoller Steve

Abstract

We provide a new method for treating free boundary problems in perfect fluids, and prove local-in-time well-posedness in Sobolev spaces for the free-surface incompressible 3D Euler equations with or without surface tension for arbitrary initial data, and without any irrotationality assumption on the fluid. This is a free boundary problem for the motion of an incompressible perfect liquid in vacuum, wherein the motion of the fluid interacts with the motion of the free-surface at highest-order.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/jams/2007-20-03/S0894-0347-07-00556-5/S0894-0347-07-00556-5.pdf

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