An Eulerian-Lagrangian approach to the Navier-Stokes equations

Authors
Constantin, P
Citation
P. Constantin, An Eulerian-Lagrangian approach to the Navier-Stokes equations, COMM MATH P, 216(3), 2001, pp. 663-686
Citations number
25
Categorie Soggetti
Physics
Journal title
COMMUNICATIONS IN MATHEMATICAL PHYSICS
ISSN journal
00103616 → ACNP
Volume
216
Issue
3
Year of publication
2001
Pages
663 - 686
Database
ISI
SICI code
0010-3616(200102)216:3<663:AEATTN>2.0.ZU;2-N
Abstract
We present a formulation of the incompressible viscous Navier-Stokes equati on based on a generalization of the inviscid Weber formula, in terms of a d iffusive "back-to-labels" map and a virtual velocity. We derive a generaliz ation of the inviscid Cauchy formula and obtain certain bounds for the obje cts introduced.