An Eulerian–Lagrangian Approach¶to the Navier–Stokes Equations
- Cite this article as:
- Constantin, P. Commun. Math. Phys. (2001) 216: 663. doi:10.1007/s002200000349
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.