5 M ar 2 00 9 Hydrodynamics , probability and the geometry of the diffeomorphisms group
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چکیده
We characterize the solution of Navier-Stokes equation as a stochastic geodesic on the diffeomorphisms group, thus generalizing Arnold’s description of the Euler flow. Mathematics Subject Classification (2000). Primary 37L55; Secondary 35Q30, 58E30, 58J65, 60J60, 76D05.
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تاریخ انتشار 2009