Exponential mixing for dissipative PDEs with bounded non-degenerate noise

DOI10.1016/j.spa.2020.01.014zbMath1440.35272arXiv1812.11706OpenAlexW3003217002WikidataQ114130790 ScholiaQ114130790MaRDI QIDQ2186645

Huilin Zhang, Sergej B. Kuksin

Publication date: 9 June 2020

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.11706

zbMATH Keywords

Ginzburg-Landau equationexponential mixingdissipative PDEsMarkovian dynamic system2D Navier-Stokes systemHaar colored noise

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Ergodicity, mixing, rates of mixing (37A25) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Infinite-dimensional random dynamical systems; stochastic equations (37L55) Ginzburg-Landau equations (35Q56) Quasilinear parabolic equations (35K59)

Related Items (5)

Mixing for the primitive equations under bounded non-degenerate noise ⋮ Ergodicity for the randomly forced Navier-Stokes system in a two-dimensional unbounded domain ⋮ Quantitative spectral gaps for hypoelliptic stochastic differential equations with small noise ⋮ Controllability and ergodicity of three dimensional primitive equations driven by a finite-dimensional force ⋮ Exponential mixing for a class of dissipative PDEs with bounded degenerate noise

Cites Work

• Exponential mixing for a class of dissipative PDEs with bounded degenerate noise
• Ergodicity of the 2D Navier-Stokes equations with degenerate stochastic forcing
• Mathematics of Two-Dimensional Turbulence
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