On the free boundary to the incompressible Euler equations

DOI10.1007/S10255-005-0246-7zbMath1105.35069OpenAlexW2169785570MaRDI QIDQ2508033

Yemin Chen

Publication date: 9 October 2006

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10255-005-0246-7

zbMATH Keywords

free boundary problemenergy estimateincompressible Euler equation

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Free boundary problems for PDEs (35R35) Euler-Poisson-Darboux equations (35Q05) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)

Cites Work

• Gravity waves on the free surface of an incompressible perfect fluid of finite depth
• Well-posedness in Sobolev spaces of the full water wave problem in 2D
• An existence theory for water waves and the boussinesq and korteweg-devries scaling limits
• The equations of motion of a perfect fluid with free boundary are not well posed.
• Well-posedness in Sobolev spaces of the full water wave problem in 3-D
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