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Stochastic Analysis: A Series of LecturesStochastic Lagrangian Flows and the Navier–Stokes Equations

Stochastic Analysis: A Series of Lectures: Stochastic Lagrangian Flows and the Navier–Stokes... [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.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

Stochastic Analysis: A Series of LecturesStochastic Lagrangian Flows and the Navier–Stokes Equations

Part of the Progress in Probability Book Series (volume 68)
Editors: Dalang, Robert C.; Dozzi, Marco; Flandoli, Franco; Russo, Francesco
Arnaudon, Marc; Cruzeiro, Ana Bela
Stochastic Analysis: A Series of Lectures — May 15, 2015
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Publisher
Springer Basel
Copyright
© Springer Basel 2015
ISBN
978-3-0348-0908-5
Pages
55 –75
DOI
10.1007/978-3-0348-0909-2_2
Publisher site
See Chapter on Publisher Site

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.]

Published: May 15, 2015

Keywords: Navier–Stokes equations; stochastic vatiational principles; stochastic Lagrangian flows; stability; FBsdes; Primary 60H10; Secondary 35Q30; 60H30; 70H30; 76D05; 76M35

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