Longtime robustness and semi-uniform compactness of a pullback attractor via nonautonomous PDE

DOI10.3934/dcdsb.2018058zbMath1403.37087OpenAlexW2781718947MaRDI QIDQ1671100

Jinyan Yin, Yang-rong Li, Lian-bing She

Publication date: 6 September 2018

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2018058

zbMATH Keywords

Ginzburg-Landau equationpullback attractorevolution processforward compactnessbackward compactnesslongtime robustness

Mathematics Subject Classification ID

Attractors (35B41) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Infinite-dimensional random dynamical systems; stochastic equations (37L55)

Related Items (17)

Forward controllability of a random attractor for the non-autonomous stochastic sine-Gordon equation on an unbounded domain ⋮ Probabilistic continuity of a pullback random attractor in time-sample ⋮ Random attractors for Ginzburg-Landau equations driven by difference noise of a Wiener-like process ⋮ Dynamics of the non-autonomous stochastic p-Laplacian parabolic problems on unbounded thin domains ⋮ Regular dynamics of non-autonomous retarded Swift-Hohenberg equations ⋮ Backward stability and divided invariance of an attractor for the delayed Navier-Stokes equation ⋮ Asymptotic autonomous attractors for a stochastic lattice model with random viscosity ⋮ Local equi-attraction of pullback attractor sections ⋮ Longtime robustness of pullback random attractors for stochastic magneto-hydrodynamics equations ⋮ Regularity and backward compactness of attractors for non-autonomous lattice systems with random coefficients ⋮ Regular dynamics for stochastic FitzHugh-Nagumo systems with additive noise on thin domains ⋮ Part-convergent cocycles and semi-convergent attractors of stochastic 2D-Ginzburg-Landau delay equations toward zero-memory ⋮ ASYMPTOTIC AUTONOMY OF RANDOM ATTRACTORS FOR BBM EQUATIONS WITH LAPLACE-MULTIPLIER NOISE ⋮ Random dynamics for non-autonomous stochastic evolution equations without uniqueness on unbounded narrow domains ⋮ Asymptotically autonomous robustness of random attractors for a class of weakly dissipative stochastic wave equations on unbounded domains ⋮ Asymptotic behavior of stochastic g-Navier-Stokes equations on a sequence of expanding domains ⋮ Asymptotic properties in non-autonomous stochastic parabolic problems dominated by \(p\)-Laplacian operator on thin domains

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