Large Deviations for Stochastic Tamed 3D Navier-Stokes Equations

Journal Article · Thu Apr 15 00:00:00 EDT 2010 · Applied Mathematics and Optimization

DOI:https://doi.org/10.1007/S00245-009-9089-6· OSTI ID:21480270

Roeckner, Michael ^[1]; Zhang, Tusheng ^[2]

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1. Universitaet Bielefeld, Fakultaet fuer Mathematik (Germany)
2. University of Manchester, School of Mathematics (United Kingdom)

In this paper, using weak convergence method, we prove a large deviation principle of Freidlin-Wentzell type for the stochastic tamed 3D Navier-Stokes equations driven by multiplicative noise, which was investigated in (Roeckner and Zhang in Probab. Theory Relat. Fields 145(1-2), 211-267, 2009).

• OSTI ID: 21480270
• Journal Information: Applied Mathematics and Optimization, Vol. 61, Issue 2; Other Information: DOI: 10.1007/s00245-009-9089-6; Copyright (c) 2010 Springer Science+Business Media, LLC; ISSN 0095-4616
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICAL METHODS AND COMPUTING
CONVERGENCE
MATHEMATICAL MODELS
NAVIER-STOKES EQUATIONS
NOISE
STOCHASTIC PROCESSES
THREE-DIMENSIONAL CALCULATIONS
DIFFERENTIAL EQUATIONS
EQUATIONS
PARTIAL DIFFERENTIAL EQUATIONS