Dynamics for the stochastic nonlocal Kuramoto-Sivashinsky equation

DOI10.1016/j.jmaa.2006.07.091zbMath1120.60061OpenAlexW1973067931MaRDI QIDQ874962

De Sheng Yang

Publication date: 10 April 2007

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.07.091

zbMATH Keywords

Wiener processHilbert transformKuramoto-Sivashinsky equationrandom attractor

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Random dynamical systems (37H99) Infinite-dimensional random dynamical systems; stochastic equations (37L55)

Related Items (10)

Irreducibility of Kuramoto-Sivashinsky equation driven by degenerate noise ⋮ \(p\)-attracting and \(p\)-invariant sets for a class of impulsive stochastic functional differential equations ⋮ Long time stability of nonlocal stochastic Kuramoto-Sivashinsky equations with jump noises ⋮ ON A NONLOCAL STOCHASTIC KURAMOTO–SIVASHINSKY EQUATION WITH JUMPS ⋮ Continuity in expectation of odd random attractors for stochastic Kuramoto-Sivashinsky equations ⋮ Long time behavior for nonlocal stochastic Kuramoto-Sivashinsky equations ⋮ Existence and nonexistence of a global solution to the Kuramoto-Sivashinsky equation ⋮ Global well-posedness of the stochastic generalized Kuramoto-Sivashinsky equation with multiplicative noise ⋮ Averaging principle for stochastic Kuramoto-Sivashinsky equation with a fast oscillation ⋮ On global solutions and blow-up for Kuramoto-Sivashinsky-type models, and well-posed Burnett equations

Cites Work

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• Stochastic Cahn-Hilliard equation
• Ergodicity for Infinite Dimensional Systems
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