Ergodicity for the navier-stokes equation with degenerate random forcing: Finite-dimensional approximation

E. Weinan; Jonathan C. Mattingly

doi:10.1002/cpa.10007

Ergodicity for the navier-stokes equation with degenerate random forcing: Finite-dimensional approximation

E. Weinan, Jonathan C. Mattingly

Mathematics

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86 Scopus citations

Abstract

We study Galerkin truncations of the two-dimensional Navier-Stokes equation under degenerate, large-scale, stochastic forcing. We identify the minimal set of modes that has to be forced in order for the system to be ergodic. Our results rely heavily on the structure of the nonlinearity.

Original language	English (US)
Pages (from-to)	1386-1402
Number of pages	17
Journal	Communications on Pure and Applied Mathematics
Volume	54
Issue number	11
DOIs	https://doi.org/10.1002/cpa.10007
State	Published - Nov 2001

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

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10.1002/cpa.10007

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title = "Ergodicity for the navier-stokes equation with degenerate random forcing: Finite-dimensional approximation",

abstract = "We study Galerkin truncations of the two-dimensional Navier-Stokes equation under degenerate, large-scale, stochastic forcing. We identify the minimal set of modes that has to be forced in order for the system to be ergodic. Our results rely heavily on the structure of the nonlinearity.",

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AB - We study Galerkin truncations of the two-dimensional Navier-Stokes equation under degenerate, large-scale, stochastic forcing. We identify the minimal set of modes that has to be forced in order for the system to be ergodic. Our results rely heavily on the structure of the nonlinearity.

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Ergodicity for the navier-stokes equation with degenerate random forcing: Finite-dimensional approximation

Abstract

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