Locally robust random attractors in stochastic non-autonomous magneto-hydrodynamics

DOI10.1080/07362994.2020.1765800zbMath1472.60104OpenAlexW3027352450MaRDI QIDQ4964390

Li Yangrong, Fu-zhi Li

Publication date: 2 March 2021

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

Full work available at URL: https://doi.org/10.1080/07362994.2020.1765800

zbMATH Keywords

upper semicontinuityrandom attractorsmall noiselocal robustnessstochastic MHD equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) Stochastic analysis applied to problems in fluid mechanics (76M35) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Generation, random and stochastic difference and differential equations (37H10)

Cites Work

• Unnamed Item
• Dynamics of the non-autonomous stochastic \(p\)-Laplace equation driven by multiplicative noise
• A modified proof of pullback attractors in a Sobolev space for stochastic FitzHugh-Nagumo equations
• Ergodicity of stochastic magneto-hydrodynamic equations driven by \(\alpha\)-stable noise
• Asymptotically autonomous multivalued Cauchy problems with spatially variable exponents
• Upper semi-continuity and regularity of random attractors on \(p\)-times integrable spaces and applications
• Sufficient and necessary criteria for existence of pullback attractors for non-compact random dynamical systems
• Uniform attractors for non-autonomous random dynamical systems
• Random exponential attractor for cocycle and application to non-autonomous stochastic lattice systems with multiplicative white noise
• Continuity of dynamical structures for nonautonomous evolution equations under singular perturbations
• Pathwise upper semi-continuity of random pullback attractors along the time axis
• Limiting behavior of non-autonomous stochastic reaction-diffusion equations on thin domains
• Electromagnetic waves in an inhomogeneous medium
• Attractors for random dynamical systems
• Infinite-dimensional dynamical systems in mechanics and physics.
• Monotone random systems theory and applications
• The exponential behaviour and stabilizability of stochastic 2D-Navier-Stokes equations
• Measurability of random attractors for quasi strong-to-weak continuous random dynamical systems
• Equi-attraction and backward compactness of pullback attractors for point-dissipative Ginzburg-Landau equations
• Regular measurable dynamics for reaction-diffusion equations on narrow domains with rough noise
• Continuity of non-autonomous attractors for hyperbolic perturbation of parabolic equations
• Continuity of pullback and uniform attractors
• Stability of random attractors under perturbation and approximation
• Longtime robustness of pullback random attractors for stochastic magneto-hydrodynamics equations
• Attractors of non-autonomous stochastic lattice systems in weighted spaces
• Box-counting dimensions and upper semicontinuities of bi-spatial attractors for stochastic degenerate parabolic equations on an unbounded domain
• Structure of attractors for skew product semiflows
• Existence and ergodicity for the two-dimensional stochastic magneto-hydrodynamics equations
• Attractors of asymptotically autonomous quasi-linear parabolic equation with spatially variable exponents
• Existence and continuity of bi-spatial random attractors and application to stochastic semilinear Laplacian equations
• Well-posedness and dynamics of the stochastic fractional magneto-hydrodynamic equations
• Random attractor for the three-dimensional planetary geostrophic equations of large-scale ocean circulation with small multiplicative noise
• Well-posedness for compressible MHD systems with highly oscillating initial data
• Existence and upper semicontinuity of attractors for stochastic equations with deterministic non-autonomous terms
• Random attractor of stochastic complex Ginzburg–Landau equation with multiplicative noise on unbounded domain
• Some mathematical questions related to the mhd equations
• Construction of nonautonomous forward attractors
• Upper Semicontinuity of Random Attractors for Non-compact Random Dynamical Systems
• Upper semicontinuity of attractors for small random perturbations of dynamical systems
• Some criteria for the existence of invariant measures and asymptotic stability for random dynamical systems on polish spaces
• LONG TIME BEHAVIOR OF STOCHASTIC MHD EQUATIONS PERTURBED BY MULTIPLICATIVE NOISES
• Asymptotic behavior of two-dimensional stochastic magneto-hydrodynamics equations with additive noises
• Attractors for a Damped Stochastic Wave Equation of Sine–Gordon Type with Sublinear Multiplicative Noise
• Random attractors for stochastic porous media equations perturbed by space-time linear multiplicative noise

This page was built for publication: Locally robust random attractors in stochastic non-autonomous magneto-hydrodynamics