Journal article icon

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.

Actions


Access Document


Publisher copy:
10.3934/dcdss.2010.3.429

Authors


Coutand, D More by this author
Shkoller, S More by this author
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
Language:
English
Keywords:

Terms of use


Metrics



If you are the owner of this record, you can report an update to it here: Report update to this record

TO TOP