The compressible Euler equations in a bounded domain: Existence of solutions and the incompressible limit

Steve Schochet

doi:10.1007/BF01210792

The compressible Euler equations in a bounded domain: Existence of solutions and the incompressible limit

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

Abstract

A short-time existence theorem is proven for the Euler equations for nonisentropic compressible fluid flow in a bounded domain, and solutions with low Mach number and almost incompressible initial data are shown to be close to corresponding solutions of the equations for incompressible flow.

Original language	English
Pages (from-to)	49-75
Number of pages	27
Journal	Communications in Mathematical Physics
Volume	104
Issue number	1
DOIs	https://doi.org/10.1007/BF01210792
State	Published - Mar 1986
Externally published	Yes

Access to Document

10.1007/BF01210792

Cite this

@article{4c53ad4dea654deba07ba7593a83dbb0,

title = "The compressible Euler equations in a bounded domain: Existence of solutions and the incompressible limit",

abstract = "A short-time existence theorem is proven for the Euler equations for nonisentropic compressible fluid flow in a bounded domain, and solutions with low Mach number and almost incompressible initial data are shown to be close to corresponding solutions of the equations for incompressible flow.",

author = "Steve Schochet",

year = "1986",

month = mar,

doi = "10.1007/BF01210792",

language = "אנגלית",

volume = "104",

pages = "49--75",

journal = "Communications in Mathematical Physics",

issn = "0010-3616",

publisher = "Springer New York",

number = "1",

}

TY - JOUR

T1 - The compressible Euler equations in a bounded domain

T2 - Existence of solutions and the incompressible limit

AU - Schochet, Steve

PY - 1986/3

Y1 - 1986/3

N2 - A short-time existence theorem is proven for the Euler equations for nonisentropic compressible fluid flow in a bounded domain, and solutions with low Mach number and almost incompressible initial data are shown to be close to corresponding solutions of the equations for incompressible flow.

AB - A short-time existence theorem is proven for the Euler equations for nonisentropic compressible fluid flow in a bounded domain, and solutions with low Mach number and almost incompressible initial data are shown to be close to corresponding solutions of the equations for incompressible flow.

UR - http://www.scopus.com/inward/record.url?scp=0002442528&partnerID=8YFLogxK

U2 - 10.1007/BF01210792

DO - 10.1007/BF01210792

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:0002442528

VL - 104

SP - 49

EP - 75

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

SN - 0010-3616

IS - 1

ER -

The compressible Euler equations in a bounded domain: Existence of solutions and the incompressible limit

Abstract

Access to Document

Other files and links

Fingerprint

Cite this