On random cocycle attractors with autonomous attraction universes

DOI10.3934/dcdsb.2017142zbMath1373.37172OpenAlexW2607887446MaRDI QIDQ2364740

Mirelson M. Freitas, Hongyong Cui, José Antonio Langa

Publication date: 25 July 2017

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.2017142

zbMATH Keywords

pullback attractorstochastic Navier-Stokes equationrandom cocycle attractorbasis of attraction

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) Navier-Stokes equations (35Q30) Generation, random and stochastic difference and differential equations (37H10) General theory of random and stochastic dynamical systems (37H05) Infinite-dimensional random dynamical systems; stochastic equations (37L55)

Related Items (16)

Uniform random attractors for a non-autonomous stochastic strongly damped wave equation on \(\mathbb{R}^{\mathbb{N}}\) ⋮ Squeezing and finite dimensionality of cocycle attractors for 2D stochastic Navier-Stokes equation with non-autonomous forcing ⋮ Random uniform attractor and random cocycle attractor for non-autonomous stochastic FitzHugh–Nagumo system on unbounded domains ⋮ Probabilistic continuity of a pullback random attractor in time-sample ⋮ Random uniform exponential attractor for stochastic non-autonomous reaction-diffusion equation with multiplicative noise in \(\mathbb{R}^3\) ⋮ Random uniform exponential attractors for non-autonomous stochastic lattice systems and FitzHugh–Nagumo lattice systems with quasi-periodic forces and multiplicative noise ⋮ Local equi-attraction of pullback attractor sections ⋮ Uniform attractors for non-autonomous random dynamical systems ⋮ Uniform attractors of stochastic two-compartment Gray-Scott system with multiplicative noise ⋮ Pathwise upper semi-continuity of random pullback attractors along the time axis ⋮ Part-convergent cocycles and semi-convergent attractors of stochastic 2D-Ginzburg-Landau delay equations toward zero-memory ⋮ Invariant forward attractors of non-autonomous random dynamical systems ⋮ Morse decompositions of uniform random attractors ⋮ Finite-dimensionality of tempered random uniform attractors ⋮ Uniform attractors of stochastic three-component Gray-Scott system with multiplicative noise ⋮ Convergence Rate of Random Attractors for 2D Navier–Stokes Equation Towards the Deterministic Singleton Attractor

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