Abstract
We describe how some diffusion processes are obtained as critical points of variational principles, focusing on the case where the stochastic Lagrangian flows are associated with the (classical) Navier–Stokes equations. Stability of the flows is studied. Existence of the flows in various senses is discussed.
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© 2015 Springer Basel
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Arnaudon, M., Cruzeiro, A.B. (2015). Stochastic Lagrangian Flows and the Navier–Stokes Equations. In: Dalang, R., Dozzi, M., Flandoli, F., Russo, F. (eds) Stochastic Analysis: A Series of Lectures. Progress in Probability, vol 68. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-0909-2_2
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DOI: https://doi.org/10.1007/978-3-0348-0909-2_2
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-0908-5
Online ISBN: 978-3-0348-0909-2
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