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