Finite-dimensionality of tempered random uniform attractors
DOI10.1007/s00332-021-09764-8zbMath1487.37091OpenAlexW4200531890MaRDI QIDQ2062884
Hongyong Cui, Arthur C. Cunha, José Antonio Langa
Publication date: 3 January 2022
Published in: Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00332-021-09764-8
Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Reaction-diffusion equations (35K57) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Fractals (28A80) Hausdorff and packing measures (28A78) Infinite-dimensional random dynamical systems; stochastic equations (37L55) Stability theory for random and stochastic dynamical systems (37H30)
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Cites Work
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- Random attractors for non-autonomous stochastic wave equations with multiplicative noise
- Attractors for infinite-dimensional non-autonomous dynamical systems
- Sufficient and necessary criteria for existence of pullback attractors for non-compact random dynamical systems
- Exponential attractors for random dynamical systems and applications
- Uniform attractors for non-autonomous random dynamical systems
- Pullback exponential attractors for nonautonomous equations. I: Semilinear parabolic problems
- Exponential attractors for non-autonomous dissipative system
- Some analytic and geometric properties of the solutions of the evolution Navier-Stokes equations
- Negatively invariant sets of compact maps and an extension of a theorem of Cartwright
- Fractal dimension, attractors, and the Boussinesq approximation in three dimensions
- Attractors for random dynamical systems
- Infinite-dimensional dynamical systems in mechanics and physics.
- Random attractors
- Monotone random systems theory and applications
- Measurability of random attractors for quasi strong-to-weak continuous random dynamical systems
- Squeezing and finite dimensionality of cocycle attractors for 2D stochastic Navier-Stokes equation with non-autonomous forcing
- Pullback exponential attractors for evolution processes in Banach spaces: theoretical results
- Continuity and pullback attractors for a non-autonomous reaction-diffusion equation in \(\mathbb R^N\)
- Random uniform exponential attractor for stochastic non-autonomous reaction-diffusion equation with multiplicative noise in \(\mathbb{R}^3\)
- Strong \((L^2,L^\gamma\cap H_0^1)\)-continuity in initial data of nonlinear reaction-diffusion equation in any space dimension
- On random cocycle attractors with autonomous attraction universes
- Random pullback exponential attractors: general existence results for random dynamical systems in Banach spaces
- Structure of attractors for skew product semiflows
- Fractal dimension of random invariant sets for nonautonomous random dynamical systems and random attractor for stochastic damped wave equation
- Smoothing and finite-dimensionality of uniform attractors in Banach spaces
- Stationary Conjugation of Flows for Parabolic SPDEs with Multiplicative Noise and Some Applications
- Attractors of asymptotically compact processes and applications to nonlinear partial differential equations
- Determining modes for dissipative random dynamical systems
- Random attractors for the 3d stochastic navier-stokes equation with multiplicative white noise
- On the finite dimensionality of random attractors1
- Exponential attractors for a nonlinear reaction-diffusion system in
- Infinite dimensional exponential attractors for a non–autonomous reaction–diffusion system
- LONG TIME BEHAVIOR OF STOCHASTIC MHD EQUATIONS PERTURBED BY MULTIPLICATIVE NOISES
- Attractors Under Autonomous and Non-autonomous Perturbations
- Minimality Properties of Set-Valued Processes and their Pullback Attractors
- Flattening, squeezing and the existence of random attractors
- Finite- and infinite-dimensional attractors for porous media equations
- Attractors for a Damped Stochastic Wave Equation of Sine–Gordon Type with Sublinear Multiplicative Noise
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