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Invariant Gibbs measures of the energy for shell models of turbulence: the inviscid and viscous cases. (English) Zbl 1238.60072

MSC:
60H15 Stochastic partial differential equations (aspects of stochastic analysis)
60H30 Applications of stochastic analysis (to PDEs, etc.)
60G15 Gaussian processes
76D06 Statistical solutions of Navier-Stokes and related equations
76M35 Stochastic analysis applied to problems in fluid mechanics
37L40 Invariant measures for infinite-dimensional dissipative dynamical systems
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