Random attractors of Boussinesq equations with multiplicative noise

DOI10.1007/s10114-008-6226-0zbMath1209.37061OpenAlexW1979619505MaRDI QIDQ1034272

Yang-rong Li, Bo-ling Guo

Publication date: 11 November 2009

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-008-6226-0

zbMATH Keywords

Wiener processBoussinesq equationrandom dynamical systemswhite noiserandom attractorBénard flow problemStratonovich SDE

Mathematics Subject Classification ID

Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Navier-Stokes equations (35Q30) Generation, random and stochastic difference and differential equations (37H10) Attractors of solutions to ordinary differential equations (34D45)

Related Items

Hausdorff dimension of a random attractor for stochastic Boussinesq equations with double multiplicative white noises, Random attractors of reaction-diffusion equations with multiplicative noise in \(L^p\), Theoretical results on the existence, regularity and asymptotic stability of enhanced pullback attractors: applications to 3D primitive equations, LONG TIME BEHAVIOR OF STOCHASTIC MHD EQUATIONS PERTURBED BY MULTIPLICATIVE NOISES, Perturbation of stochastic Boussinesq equations with multiplicative white noise, \((L^{2},L^{p})\)-random attractors for stochastic reaction-diffusion equation on unbounded domains, Pullback exponential attractors for the non-autonomous micropolar fluid flows, \(H^1\)-random attractors and asymptotic smoothing effect of solutions for stochastic Boussinesq equations with fluctuating dynamical boundary conditions, Asymptotic behavior of two-dimensional stochastic magneto-hydrodynamics equations with additive noises

Cites Work

• On Randers metrics with isotropic \(S\)-curvature
• Exponential attractor of the 3D derivative Ginzburg-Landau equation
• Infinite-dimensional dynamical systems in mechanics and physics
• Hausdorff dimension of a random invariant set
• Attractors for random dynamical systems
• Random attractors
• Exponential attractors for the generalized Ginzburg-Landau equation
• Random attractor for a damped sine-Gordon equation with white noise
• Spectral method for solving two-dimensional Newton-Boussinesq equations
• Stability and random attractors for a reaction-diffusion equation with multiplicative noise
• Stability of random attractors under perturbation and approximation
• Nonlinear Galerkin methods for solving two dimensional Newton-Boussinesq equations
• The asymptotic behavior of the stochastic Ginzburg-Landau equation with additive noise
• Dimension of maximal attractors for the \(m\)-dimensional Cahn-Hilliard system
• Solution of the dual reflection equation for An−1(1) solid-on-solid model
• Upper semicontinuity of attractors for small random perturbations of dynamical systems
• Stochastic Burgers' equation