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^*

^*此作品的通讯作者

数学学院

科研成果: 期刊稿件 › 文章 › 同行评审

摘要

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.

源语言	英语
页（从-至）	389-398
页数	10
期刊	Acta Mathematicae Applicatae Sinica
卷	21
期	3
DOI	https://doi.org/10.1007/s10255-005-0246-7
出版状态	已出版 - 8月 2005

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10.1007/s10255-005-0246-7

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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

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On the free boundary to the incompressible Euler equations

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