Hausdorff and fractal dimensions of attractors for functional differential equations in Banach spaces
From MaRDI portal
Publication:6187687
DOI10.1016/j.jde.2023.12.025arXiv2303.04094OpenAlexW4390717507MaRDI QIDQ6187687
Wenjie Hu, Tomás Caraballo Garrido
Publication date: 31 January 2024
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2303.04094
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Exponential attractors for random dynamical systems and applications
- Pullback exponential attractors for nonautonomous equations. I: Semilinear parabolic problems
- Exponential attractors for non-autonomous dissipative system
- Finite-dimensional global attractors in Banach spaces
- Global attractor for some partial functional differential equations with finite delay
- Attractors of Navier-Stokes systems and of parabolic equations, and estimates for their dimensions
- Some analytic and geometric properties of the solutions of the evolution Navier-Stokes equations
- Infinite-dimensional dynamical systems in mechanics and physics
- Negatively invariant sets of compact maps and an extension of a theorem of Cartwright
- Integral averaging and bifurcation
- Introduction to functional differential equations
- Fractal dimension, attractors, and the Boussinesq approximation in three dimensions
- A remark on two constructions of exponential attractors for \(\alpha\)-contractions
- Invariant manifolds of partial functional differential equations.
- Random attractor and random exponential attractor for stochastic non-autonomous damped cubic wave equation with linear multiplicative white noise
- Theory and applications of partial functional differential equations
- Attractors of non-autonomous dynamical systems and their dimension
- Exponential attractors of reaction-diffusion systems in an unbounded domain
- Pullback exponential attractors for evolution processes in Banach spaces: theoretical results
- Random pullback exponential attractors: general existence results for random dynamical systems in Banach spaces
- Random exponential attractor for stochastic reaction-diffusion equation with multiplicative noise in \(\mathbb{R}^3\)
- 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
- The effect of noise on the Chafee-Infante equation: A nonlinear case study
- Global lyapunov exponents, kaplan-yorke formulas and the dimension of the attractors for 2D navier-stokes equations
- Topological dimensions of global attractors for semilinear PDE's with delays
- Exponential attractors for a class of evolution equations by a decomposition method
- On the finite dimensionality of random attractors1
- Exponential attractors for a nonlinear reaction-diffusion system in
- Upper estimates on Hausdorff and fractal dimensions of global attractors for the 2D Navier–Stokes–Voight equations with a distributed delay
- Finite- and infinite-dimensional attractors for porous media equations
This page was built for publication: Hausdorff and fractal dimensions of attractors for functional differential equations in Banach spaces
