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

Access to Document

10.1007/s10255-005-0246-7

Cite this

@article{d22f222226be42488de5db307f03578a,

title = "On the free boundary to the incompressible Euler equations",

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.",

keywords = "A priori estimate, Free boundary, Incompressible Euler equation",

author = "Chen, \{Ye Min\}",

year = "2005",

month = aug,

doi = "10.1007/s10255-005-0246-7",

language = "English",

volume = "21",

pages = "389--398",

journal = "Acta Mathematicae Applicatae Sinica",

issn = "0168-9673",

publisher = "Springer Verlag",

number = "3",

}

TY - JOUR

T1 - On the free boundary to the incompressible Euler equations

AU - Chen, Ye Min

PY - 2005/8

Y1 - 2005/8

N2 - 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.

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 - http://www.scopus.com/inward/record.url?scp=23044468107&partnerID=8YFLogxK

U2 - 10.1007/s10255-005-0246-7

DO - 10.1007/s10255-005-0246-7

M3 - Article

AN - SCOPUS:23044468107

SN - 0168-9673

VL - 21

SP - 389

EP - 398

JO - Acta Mathematicae Applicatae Sinica

JF - Acta Mathematicae Applicatae Sinica

IS - 3

ER -

On the free boundary to the incompressible Euler equations

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this