Invariant Gibbs measures of the energy for shell models of turbulence: the inviscid and viscous cases

DOI10.1088/0951-7715/25/4/1075zbMath1238.60072arXiv1103.2151OpenAlexW3100469397MaRDI QIDQ2882658

Benedetta Ferrario, Hakima Bessaih

Publication date: 7 May 2012

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1103.2151

zbMATH Keywords

3D inviscid and unforced shell modelexistence of a unique global flowGaussian measures of Gibbsian type

Mathematics Subject Classification ID

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

Related Items (9)

Stochastic shell models driven by a multiplicative fractional Brownian-motion ⋮ Numerical approximation of stochastic evolution equations: convergence in scale of Hilbert spaces ⋮ Dyadic models for fluid equations: a survey ⋮ Averaging principle for multiscale nonautonomous random 2D Navier-Stokes system ⋮ Hydrodynamic models ⋮ Invariant measures of Gaussian type for 2D turbulence ⋮ Irreducibility and exponential mixing of some stochastic hydrodynamical systems driven by pure jump noise ⋮ Ergodicity of Stochastic Shell Models Driven by Pure Jump Noise ⋮ Averaging principles for stochastic 2D Navier-Stokes equations

This page was built for publication: Invariant Gibbs measures of the energy for shell models of turbulence: the inviscid and viscous cases