Constantin, Peter An Eulerian-Lagrangian approach to the Navier-Stokes equations. (English) Zbl 0988.76020 Commun. Math. Phys. 216, No. 3, 663-686 (2001). The author presents an Eulerian-Lagrangian formulation of non-stationary incompressible Navier-Stokes equations. The formulation relies upon a generalization of inviscid Weber formula. Bounds for particle paths and for the virtual velocity are derived. Reviewer: Etienne Emmrich (Berlin) Cited in 30 Documents MSC: 76D03 Existence, uniqueness, and regularity theory for incompressible viscous fluids 76D05 Navier-Stokes equations for incompressible viscous fluids 35Q30 Navier-Stokes equations Keywords:Eulerian coordinates; Lagrangian coordinates; generalized inviscid Weber formula; Eulerian-Lagrangian formulation; non-stationary incompressible Navier-Stokes equations; particle paths; virtual velocity PDF BibTeX XML Cite \textit{P. Constantin}, Commun. Math. Phys. 216, No. 3, 663--686 (2001; Zbl 0988.76020) Full Text: DOI arXiv OpenURL