Communications in Mathematical Physics

, Volume 216, Issue 3, pp 663-686

First online:

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

  • Peter  ConstantinAffiliated withDepartment of Mathematics, The University of Chicago, 5734 South University Avenue,¶Chicago, IL 60637, USA

Rent the article at a discount

Rent now

* Final gross prices may vary according to local VAT.

Get Access

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.