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Remarks on Stochastic Navier-Stokes Equations

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Part of the book series: Springer INdAM Series ((SINDAMS,volume 15))

Abstract

A theory of stochastic Navier-Stokes equations has been developed in recent years. A few basic facts and open problems are recalled, stressing the role and difference between the model with additive and with multiplicative transport noise. In view of the practical issue of numerical simulation of expected values, a few remarks on Girsanov transform and Kolmogorov equation are given.

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Authors and Affiliations

  1. Dipartimento di Matematica, Università di Pisa, Largo Bruno Pontecorvo 5, I–56127, Pisa, Italia

    Franco Flandoli

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  1. Franco Flandoli
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Correspondence to Franco Flandoli .

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Editors and Affiliations

  1. Dipartimento di Matematica, Università degli Studi di Padova, Padova, Italy

    Fabio Ancona

  2. Dipartimento di Matematica, Università di Roma - Tor Vergata, Roma, Italy

    Piermarco Cannarsa

  3. Department of Mathematics, University of North Carolina, Chapel Hill, North Carolina, USA

    Christopher Jones

  4. Scienze Agrarie, Forestali e Alimentari, Università degli Studi di Torino, Torino, Italy

    Alessandro Portaluri

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Flandoli, F. (2016). Remarks on Stochastic Navier-Stokes Equations. In: Ancona, F., Cannarsa, P., Jones, C., Portaluri, A. (eds) Mathematical Paradigms of Climate Science. Springer INdAM Series, vol 15. Springer, Cham. https://doi.org/10.1007/978-3-319-39092-5_4

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