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Riemann spaces associated with the Navier-Stokes equations: a survey of the geometric approach
35q3053c2176d05differential-geometryexactly-solvable-and-integrable-systemsfluid-dynamicsmathematical-physics
We survey a geometric approach to the Navier-Stokes equations developed by the author over the past fifteen years. The central object is a Riemannian space of fourteen dimensions whose metric is Ricci-flat precisely on the solutions of the Navier-Stokes system, so that the behaviour of a viscous inc
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