Invariant Measures for a Stochastic Kuramoto–Sivashinsky Equation

DOI10.1080/07362990701857335zbMath1145.60035arXiv0705.3321OpenAlexW2963579457MaRDI QIDQ5459763

Benedetta Ferrario

Publication date: 29 April 2008

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

Full work available at URL: https://arxiv.org/abs/0705.3321

zbMATH Keywords

invariant measuresirreducibilitypathwise uniquenessergodic measureMarkovian semigroupstrong Feller

Mathematics Subject Classification ID

Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (8)

Mean asymptotic behavior for stochastic Kuramoto–Sivashinshy equation in Bochner spaces ⋮ Nonlinear Filtering of Stochastic Navier-Stokes Equation with Itô-Lévy Noise ⋮ Irreducibility of Kuramoto-Sivashinsky equation driven by degenerate noise ⋮ Controlling roughening processes in the stochastic Kuramoto-Sivashinsky equation ⋮ Kolmogorov equation associated to a stochastic Kuramoto-Sivashinsky equation ⋮ Averaging principle for stochastic Kuramoto-Sivashinsky equation with a fast oscillation ⋮ Large deviations for stochastic Kuramoto–Sivashinsky equation with multiplicative noise ⋮ A Note on a Result of Liptser-Shiryaev

Cites Work

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• Random Attractors for the Stochastic Kuramoto-Sivashinsky Equation
• Nonlinear analysis of hydrodynamic instability in laminar flames—I. Derivation of basic equations
• Nonlinear analysis of hydrodynamic instability in laminar flames—II. Numerical experiments
• Stability of the kuramoto‐sivashinsky and related systems
• Ergodicity for Infinite Dimensional Systems
• On the stochastic Kuramoto-Sivashinsky equation

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