La limite pour la solution des équations de Navier-Stokes quand la viscosité tend vers zéro

Russel Caflisch; Marco Sammartino

doi:10.1016/S0764-4442(97)86959-5

La limite pour la solution des équations de Navier-Stokes quand la viscosité tend vers zéro

Translated title of the contribution: Navier-Stokes equations on an exterior circular domain: Construction of the solution and the zero viscosity limit

Russel Caflisch, Marco Sammartino

Mathematics

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

Abstract

In this Note, we consider the limit of Navier-Stokes equations on a circular domain. By an explicit construction of the solution, it is proved that, when viscosity goes to zero, solution converges to the Euler solution outside the boundary layer and to the Prandtl solution inside the boundary layer.

Translated title of the contribution	Navier-Stokes equations on an exterior circular domain: Construction of the solution and the zero viscosity limit
Original language	French
Pages (from-to)	861-866
Number of pages	6
Journal	Comptes Rendus de l'Academie des Sciences - Series I: Mathematics
Volume	324
Issue number	8
DOIs	https://doi.org/10.1016/S0764-4442(97)86959-5
State	Published - Apr 1997

ASJC Scopus subject areas

Mathematics(all)

Access to Document

10.1016/S0764-4442(97)86959-5

Fingerprint Dive into the research topics of 'Navier-Stokes equations on an exterior circular domain: Construction of the solution and the zero viscosity limit'. Together they form a unique fingerprint.

Cite this

@article{4a1b3bea8d39448e9f828ba1ad804699,

title = "La limite pour la solution des {\'e}quations de Navier-Stokes quand la viscosit{\'e} tend vers z{\'e}ro",

abstract = "In this Note, we consider the limit of Navier-Stokes equations on a circular domain. By an explicit construction of the solution, it is proved that, when viscosity goes to zero, solution converges to the Euler solution outside the boundary layer and to the Prandtl solution inside the boundary layer.",

author = "Russel Caflisch and Marco Sammartino",

year = "1997",

month = apr,

doi = "10.1016/S0764-4442(97)86959-5",

language = "French",

volume = "324",

pages = "861--866",

journal = "Comptes Rendus Mathematique",

issn = "1631-073X",

publisher = "Elsevier Masson",

number = "8",

}

TY - JOUR

T1 - La limite pour la solution des équations de Navier-Stokes quand la viscosité tend vers zéro

AU - Caflisch, Russel

AU - Sammartino, Marco

PY - 1997/4

Y1 - 1997/4

N2 - In this Note, we consider the limit of Navier-Stokes equations on a circular domain. By an explicit construction of the solution, it is proved that, when viscosity goes to zero, solution converges to the Euler solution outside the boundary layer and to the Prandtl solution inside the boundary layer.

AB - In this Note, we consider the limit of Navier-Stokes equations on a circular domain. By an explicit construction of the solution, it is proved that, when viscosity goes to zero, solution converges to the Euler solution outside the boundary layer and to the Prandtl solution inside the boundary layer.

UR - http://www.scopus.com/inward/record.url?scp=0031116236&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0031116236&partnerID=8YFLogxK

U2 - 10.1016/S0764-4442(97)86959-5

DO - 10.1016/S0764-4442(97)86959-5

M3 - Article

AN - SCOPUS:0031116236

VL - 324

SP - 861

EP - 866

JO - Comptes Rendus Mathematique

JF - Comptes Rendus Mathematique

SN - 1631-073X

IS - 8

ER -