An Eulerian–Lagrangian Approach¶to the Navier–Stokes Equations |
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Authors: | Peter Constantin |
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Affiliation: | Department of Mathematics, The University of Chicago, 5734 South University Avenue,?Chicago, IL 60637, USA, US
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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. Received: 13 May 2000 / Accepted: 22 September 2000 |
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