On the free boundary to the incompressible Euler equations

Ye Min Chen

doi:10.1007/s10255-005-0246-7

On the free boundary to the incompressible Euler equations

Ye Min Chen^*

^*Corresponding author for this work

School of Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we consider an inviscid, incompressible, irrotational fluid in a region of R ³ with free boundary. Motivated by we find that in this particular case, we do not need the complicated energy functional in [1], instead we can use a simpler replacement and get the a priori energy estimate for a positive time, which depends only on the initial data.

Original language	English
Pages (from-to)	389-398
Number of pages	10
Journal	Acta Mathematicae Applicatae Sinica
Volume	21
Issue number	3
DOIs	https://doi.org/10.1007/s10255-005-0246-7
Publication status	Published - Aug 2005

Keywords

A priori estimate
Free boundary
Incompressible Euler equation

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10.1007/s10255-005-0246-7

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abstract = "In this paper, we consider an inviscid, incompressible, irrotational fluid in a region of R 3 with free boundary. Motivated by we find that in this particular case, we do not need the complicated energy functional in [1], instead we can use a simpler replacement and get the a priori energy estimate for a positive time, which depends only on the initial data.",

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AU - Chen, Ye Min

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AB - In this paper, we consider an inviscid, incompressible, irrotational fluid in a region of R 3 with free boundary. Motivated by we find that in this particular case, we do not need the complicated energy functional in [1], instead we can use a simpler replacement and get the a priori energy estimate for a positive time, which depends only on the initial data.

KW - A priori estimate

KW - Free boundary

KW - Incompressible Euler equation

UR - https://www.scopus.com/pages/publications/23044468107

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DO - 10.1007/s10255-005-0246-7

M3 - Article

AN - SCOPUS:23044468107

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JO - Acta Mathematicae Applicatae Sinica

JF - Acta Mathematicae Applicatae Sinica

IS - 3

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On the free boundary to the incompressible Euler equations

Abstract

Keywords

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