Stochastic modified Boussinesq approximate equation driven by fractional Brownian motion

DOI10.1186/1687-1847-2014-207zbMath1417.35008OpenAlexW2159934118WikidataQ59323455 ScholiaQ59323455MaRDI QIDQ1620655

Jin Li, Tianlong Shen, Jian Hua Huang

Publication date: 13 November 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1847-2014-207

zbMATH Keywords

fractional Brownian motionmild solutionrandom attractorstochastic convolutionstochastic modified Boussinesq approximate equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Fractional partial differential equations (35R11)

Related Items (1)

Well-posedness of the stochastic Boussinesq equation driven by Levy processes

Cites Work

• Dynamics of stochastic modified Boussinesq approximation equation driven by fractional Brownian motion
• Dynamics of a 2D stochastic non-Newtonian fluid driven by fractional Brownian motion
• Unstable invariant manifolds for stochastic PDEs driven by a fractional Brownian motion
• Pullback attractors for a non-autonomous incompressible non-Newtonian fluid
• Attractors of non-Newtonian fluids
• Random attractors
• Stochastic evolution equations with fractional Brownian motion
• Random dynamical systems for stochastic partial differential equations driven by a fractional Brownian motion
• Dynamics of stochastic non-Newtonian fluids driven by fractional Brownian motion with Hurst parameter \(H \in (\tfrac 14,\tfrac 12)\)
• Random Dynamical Systems and Stationary Solutions of Differential Equations Driven by the Fractional Brownian Motion
• Semilinear Stochastic Equations in a Hilbert Space with a Fractional Brownian Motion
• Ergodicity for Infinite Dimensional Systems
• Stochastic Calculus for Fractional Brownian Motion and Applications
• Regularization of a non-Newtonian system in an unbounded channel: Existence and uniqueness of solutions
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