Controllability implies mixing. II: Convergence in the dual-Lipschitz metric

DOI10.4171/JEMS/1036zbMath1470.37008arXiv1803.01893MaRDI QIDQ2031671

Armen R. Shirikyan

Publication date: 10 June 2021

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.01893

zbMATH Keywords

controllabilityNavier-Stokes systemexponential mixingboundary noise

Mathematics Subject Classification ID

Controllability (93B05) Control/observation systems governed by partial differential equations (93C20) Ergodicity, mixing, rates of mixing (37A25) Dynamical systems in control (37N35) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Generation, random and stochastic difference and differential equations (37H10) PDEs with randomness, stochastic partial differential equations (35R60) Stability theory for random and stochastic dynamical systems (37H30)

Related Items (4)

Ergodicity for the randomly forced Navier-Stokes system in a two-dimensional unbounded domain ⋮ Controllability and ergodicity of three dimensional primitive equations driven by a finite-dimensional force ⋮ Large deviations and entropy production in viscous fluid flows ⋮ Exponential mixing for a class of dissipative PDEs with bounded degenerate noise

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