An Eulerian-Lagrangian approach to the Navier-Stokes equations

Peter Constantin

doi:10.1007/s002200000349

An Eulerian-Lagrangian approach to the Navier-Stokes equations

Peter Constantin

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

71 Scopus citations

Abstract

We present a formulation of the incompressible viscous Navier-Stokes equation based on a generalization of the inviscid Weber formula, in terms of a diffusive "back-to-labels" map and a virtual velocity. We derive a generalization of the inviscid Cauchy formula and obtain certain bounds for the objects introduced.

Original language	English (US)
Pages (from-to)	663-686
Number of pages	24
Journal	Communications In Mathematical Physics
Volume	216
Issue number	3
DOIs	https://doi.org/10.1007/s002200000349
State	Published - Feb 2001
Externally published	Yes

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

Access to Document

10.1007/s002200000349

Cite this

@article{90bf8e95ae5449f0a8a16d84f66684ea,

title = "An Eulerian-Lagrangian approach to the Navier-Stokes equations",

abstract = "We present a formulation of the incompressible viscous Navier-Stokes equation based on a generalization of the inviscid Weber formula, in terms of a diffusive {"}back-to-labels{"} map and a virtual velocity. We derive a generalization of the inviscid Cauchy formula and obtain certain bounds for the objects introduced.",

author = "Peter Constantin",

year = "2001",

month = feb,

doi = "10.1007/s002200000349",

language = "English (US)",

volume = "216",

pages = "663--686",

journal = "Communications In Mathematical Physics",

issn = "0010-3616",

publisher = "Springer New York",

number = "3",

}

TY - JOUR

T1 - An Eulerian-Lagrangian approach to the Navier-Stokes equations

AU - Constantin, Peter

PY - 2001/2

Y1 - 2001/2

N2 - We present a formulation of the incompressible viscous Navier-Stokes equation based on a generalization of the inviscid Weber formula, in terms of a diffusive "back-to-labels" map and a virtual velocity. We derive a generalization of the inviscid Cauchy formula and obtain certain bounds for the objects introduced.

AB - We present a formulation of the incompressible viscous Navier-Stokes equation based on a generalization of the inviscid Weber formula, in terms of a diffusive "back-to-labels" map and a virtual velocity. We derive a generalization of the inviscid Cauchy formula and obtain certain bounds for the objects introduced.

UR - http://www.scopus.com/inward/record.url?scp=0035529586&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0035529586&partnerID=8YFLogxK

U2 - 10.1007/s002200000349

DO - 10.1007/s002200000349

M3 - Article

AN - SCOPUS:0035529586

SN - 0010-3616

VL - 216

SP - 663

EP - 686

JO - Communications In Mathematical Physics

JF - Communications In Mathematical Physics

IS - 3

ER -

An Eulerian-Lagrangian approach to the Navier-Stokes equations

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this