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Ergodicity of the 2D Navier-Stokes equations with random forcing

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Bricmont, Jean [UCL] Kupiainen, Antti [UCL] Lefevere, R.

We consider the Navier-Stokes equation on a two dimensional torus with a random force, acting at discrete times and analytic in space, for arbitrarily small viscosity coefficient. We prove the existence and uniqueness of the invariant measure for this system as well as exponential mixing in time.

Document type Article de périodique (Journal article) – Article de recherche
Access type Accès restreint
Publication date 2001
Language Anglais
Journal information "Communications in Mathematical Physics" - Vol. 224, no. 1, p. 65-81 (2001)
Peer reviewed yes
Publisher Springer-verlag (New York)
issn 0010-3616
e-issn 1432-0916
Publication status Publié
Affiliation UCL - SC/PHYS - Département de physique
Links
Bibliographic reference Bricmont, Jean ; Kupiainen, Antti ; Lefevere, R.. Ergodicity of the 2D Navier-Stokes equations with random forcing. In: Communications in Mathematical Physics, Vol. 224, no. 1, p. 65-81 (2001)
Permanent URL http://hdl.handle.net/2078.1/42394