Regular dynamics and box-counting dimension for a random reaction-diffusion equation on unbounded domains
From MaRDI portal
Publication:6596600
DOI10.11948/20200054MaRDI QIDQ6596600
Publication date: 2 September 2024
Published in: Journal of Applied Analysis and Computation (Search for Journal in Brave)
Hölder continuitybox counting dimensionrandom dynamical systempullback random attractorhigher-order attracting
Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) PDEs with randomness, stochastic partial differential equations (35R60)
Cites Work
- Unnamed Item
- Unnamed Item
- Regularity and structure of pullback attractors for reaction-diffusion type systems without uniqueness
- Finite fractal dimensions of random attractors for stochastic FitzHugh-Nagumo system with multiplicative white noise
- Non-autonomous reaction-diffusion model with dynamic boundary conditions
- A modified proof of pullback attractors in a Sobolev space for stochastic FitzHugh-Nagumo equations
- Attractors for infinite-dimensional non-autonomous dynamical systems
- Sufficient and necessary criteria for existence of pullback attractors for non-compact random dynamical systems
- Long-time random dynamics of stochastic parabolic \(p\)-Laplacian equations on \(\mathbb{R}^N\)
- Chaotic behavior in differential equations driven by a Brownian motion
- Fractal dimension of random attractors for stochastic non-autonomous reaction-diffusion equations
- Global attractors for \(p\)-Laplacian equation
- Existence of a global attractor for a \(p\)-Laplacian equation in \(\mathbb {R}^n\)
- Random attractors for quasi-continuous random dynamical systems and applications to stochastic reaction-diffusion equations
- Continuity of strong solutions of the reaction-diffusion equation in initial data
- Attractors for random dynamical systems
- Random attractors
- Monotone random systems theory and applications
- Measurability of random attractors for quasi strong-to-weak continuous random dynamical systems
- Random dynamics of non-autonomous semi-linear degenerate parabolic equations on \(\mathbb{R}^N\) driven by an unbounded additive noise
- Regularity of random attractors for fractional stochastic reaction-diffusion equations on \(\mathbb{R}^n\)
- Finite fractal dimension of random attractor for stochastic non-autonomous strongly damped wave equation
- Compactness and attracting of random attractors for non-autonomous stochastic lattice dynamical systems in weighted space \(\ell_\rho^p\)
- Minimal random attractors
- Continuity and pullback attractors for a non-autonomous reaction-diffusion equation in \(\mathbb R^N\)
- Random dynamics of stochastic \(p\)-Laplacian equations on \(\mathbb{R}^N\) with an unbounded additive noise
- Random attractors for locally monotone stochastic partial differential equations
- Strong \((L^2,L^\gamma\cap H_0^1)\)-continuity in initial data of nonlinear reaction-diffusion equation in any space dimension
- Chaotic attractors in the four-dimensional Leslie-Gower competition model
- Higher-order Wong-Zakai approximations of stochastic reaction-diffusion equations on \(\mathbb{R}^N\)
- Attractors for damped semilinear wave equations with a Robin-acoustic boundary perturbation
- Bounds on the Hausdorff dimension of random attractors for infinite-dimensional random dynamical systems on fractals
- Wong-Zakai approximations and long term behavior of stochastic partial differential equations
- Dynamics for a stochastic reaction-diffusion equation with additive noise
- Box-counting dimensions and upper semicontinuities of bi-spatial attractors for stochastic degenerate parabolic equations on an unbounded domain
- Wong-Zakai approximations and attractors for stochastic reaction-diffusion equations on unbounded domains
- Fractal dimension of a random invariant set
- Existence and continuity of bi-spatial random attractors and application to stochastic semilinear Laplacian equations
- Heteroclinic chaotic behavior driven by a Brownian motion
- Existence and upper semicontinuity of attractors for stochastic equations with deterministic non-autonomous terms
- Regularity of embeddings of infinite-dimensional fractal sets into finite-dimensional spaces
This page was built for publication: Regular dynamics and box-counting dimension for a random reaction-diffusion equation on unbounded domains