ON A NONLOCAL STOCHASTIC KURAMOTO–SIVASHINSKY EQUATION WITH JUMPS

DOI10.1142/S0219493707002104zbMath1203.60080MaRDI QIDQ3502913

Ke Hua Shi, Li Jun Bo, Yong Jin Wang

Publication date: 20 May 2008

Published in: Stochastics and Dynamics (Search for Journal in Brave)

Mathematics Subject Classification ID

Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60)

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Well-posedness and dynamics of the stochastic fractional magneto-hydrodynamic equations ⋮ On a stochastic fractional partial differential equation driven by a Lévy space-time white noise ⋮ Well-Posedness of the Stochastic Fractional Boussinesq Equation With Lévy Noise ⋮ Irreducibility of Kuramoto-Sivashinsky equation driven by degenerate noise ⋮ Long time stability of nonlocal stochastic Kuramoto-Sivashinsky equations with jump noises ⋮ Stochastic wave equation of pure jumps: Existence, uniqueness and invariant measures ⋮ Long time behavior for nonlocal stochastic Kuramoto-Sivashinsky equations ⋮ Stochastic fractional Anderson models with fractional noises ⋮ Long time behavior for stochastic Burgers equations with jump noises ⋮ Averaging principle for stochastic Kuramoto-Sivashinsky equation with a fast oscillation ⋮ Asymptotic properties of the 2D stochastic fractional Boussinesq equations driven by degenerate noise ⋮ Regularity of a stochastic fractional delayed reaction-diffusion equation driven by Lévy noise ⋮ Jump type Cahn-Hilliard equations with fractional noises ⋮ Large deviations for stochastic Kuramoto–Sivashinsky equation with multiplicative noise ⋮ Dynamics of stochastic fractional Boussinesq equations

Cites Work

• On the stochastic Benjamin--Ono equation
• Dynamics for the stochastic nonlocal Kuramoto-Sivashinsky equation
• One-dimensional stochastic Burgers equation driven by Lévy processes
• Dynamics of a nonlocal Kuramoto-Sivashinsky equation
• Ergodicity for nonlinear stochastic equations in variational formulation
• Ergodicity for Infinite Dimensional Systems
• On the stochastic Kuramoto-Sivashinsky equation
• Unnamed Item

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