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.
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Received: 13 May 2000 / Accepted: 22 September 2000
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Constantin, P. An Eulerian–Lagrangian Approach¶to the Navier–Stokes Equations. Commun. Math. Phys. 216, 663–686 (2001). https://doi.org/10.1007/s002200000349
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DOI: https://doi.org/10.1007/s002200000349