Communications in Mathematical Physics

, Volume 216, Issue 3, pp 663–686 | Cite as

An Eulerian–Lagrangian Approach¶to the Navier–Stokes Equations

  • Peter  Constantin

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.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • Peter  Constantin
    • 1
  1. 1.Department of Mathematics, The University of Chicago, 5734 South University Avenue,¶Chicago, IL 60637, USAUS

Personalised recommendations