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Seminar on Stochastic Analysis, Random Fields and Applications VIThe Martingale Problem for Markov Solutions to the Navier-Stokes Equations

Seminar on Stochastic Analysis, Random Fields and Applications VI: The Martingale Problem for... [Under suitable assumptions of regularity and non-degeneracy on the covariance of the driving additive noise, any Markov solution to the stochastic Navier-Stokes equations has an associated generator of the diffusion and is the unique solution to the corresponding martingale problem. Some elementary examples are discussed to interpret these results.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

Seminar on Stochastic Analysis, Random Fields and Applications VIThe Martingale Problem for Markov Solutions to the Navier-Stokes Equations

Part of the Progress in Probability Book Series (volume 63)
Editors: Dalang, Robert; Dozzi, Marco; Russo, Francesco

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References (29)

Publisher
Springer Basel
Copyright
© Springer Basel AG 2011
ISBN
978-3-0348-0020-4
Pages
227 –244
DOI
10.1007/978-3-0348-0021-1_15
Publisher site
See Chapter on Publisher Site

Abstract

[Under suitable assumptions of regularity and non-degeneracy on the covariance of the driving additive noise, any Markov solution to the stochastic Navier-Stokes equations has an associated generator of the diffusion and is the unique solution to the corresponding martingale problem. Some elementary examples are discussed to interpret these results.]

Published: Feb 4, 2011

Keywords: Stochastic Navier-Stokes equations; martingale problem; Markov property; Markov solutions; strong Feller property; well-posedness; invariant measures.

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