Regular dynamics and box-counting dimension for a random reaction-diffusion equation on unbounded domains (Q6596600)

scientific article; zbMATH DE number 7905124

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English	Regular dynamics and box-counting dimension for a random reaction-diffusion equation on unbounded domains	scientific article; zbMATH DE number 7905124

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instance of

scholarly article

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title

Regular dynamics and box-counting dimension for a random reaction-diffusion equation on unbounded domains (English)

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author

Wenqiang Zhao

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published in

Journal of Applied Analysis and Computation

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publication date

2 September 2024

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zbMATH Keywords

random dynamical system

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pullback random attractor

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Hölder continuity

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higher-order attracting

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box counting dimension

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Bounds on the Hausdorff dimension of random attractors for infinite-dimensional random dynamical systems on fractals

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Dynamics for a stochastic reaction-diffusion equation with additive noise

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Attractors for infinite-dimensional non-autonomous dynamical systems

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Monotone random systems theory and applications

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Attractors for random dynamical systems

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Random attractors

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Minimal random attractors

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Regularity and structure of pullback attractors for reaction-diffusion type systems without uniqueness

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Strong \((L^2,L^\gamma\cap H_0^1)\)-continuity in initial data of nonlinear reaction-diffusion equation in any space dimension

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Measurability of random attractors for quasi strong-to-weak continuous random dynamical systems

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Random attractors for locally monotone stochastic partial differential equations

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Regularity of random attractors for fractional stochastic reaction-diffusion equations on \(\mathbb{R}^n\)

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Chaotic attractors in the four-dimensional Leslie-Gower competition model

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Regularity of embeddings of infinite-dimensional fractal sets into finite-dimensional spaces

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Fractal dimension of a random invariant set

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A modified proof of pullback attractors in a Sobolev space for stochastic FitzHugh-Nagumo equations

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Existence and continuity of bi-spatial random attractors and application to stochastic semilinear Laplacian equations

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Random attractors for quasi-continuous random dynamical systems and applications to stochastic reaction-diffusion equations

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Wong-Zakai approximations and long term behavior of stochastic partial differential equations

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Chaotic behavior in differential equations driven by a Brownian motion

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Infinite-dimensional dynamical systems. An introduction to dissipative parabolic PDEs and the theory of global attractors

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Heteroclinic chaotic behavior driven by a Brownian motion

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Attractors for damped semilinear wave equations with a Robin-acoustic boundary perturbation

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Non-autonomous reaction-diffusion model with dynamic boundary conditions

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Continuity of strong solutions of the reaction-diffusion equation in initial data

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Existence and upper semicontinuity of attractors for stochastic equations with deterministic non-autonomous terms

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Sufficient and necessary criteria for existence of pullback attractors for non-compact random dynamical systems

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Wong-Zakai approximations and attractors for stochastic reaction-diffusion equations on unbounded domains

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Finite fractal dimension of random attractor for stochastic non-autonomous strongly damped wave equation

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Existence of a global attractor for a \(p\)-Laplacian equation in \(\mathbb {R}^n\)

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Global attractors for \(p\)-Laplacian equation

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Box-counting dimensions and upper semicontinuities of bi-spatial attractors for stochastic degenerate parabolic equations on an unbounded domain

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Higher-order Wong-Zakai approximations of stochastic reaction-diffusion equations on \(\mathbb{R}^N\)

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Compactness and attracting of random attractors for non-autonomous stochastic lattice dynamical systems in weighted space \(\ell_\rho^p\)

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Random dynamics of stochastic \(p\)-Laplacian equations on \(\mathbb{R}^N\) with an unbounded additive noise

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Long-time random dynamics of stochastic parabolic \(p\)-Laplacian equations on \(\mathbb{R}^N\)

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Random dynamics of non-autonomous semi-linear degenerate parabolic equations on \(\mathbb{R}^N\) driven by an unbounded additive noise

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Fractal dimension of random attractors for stochastic non-autonomous reaction-diffusion equations

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Finite fractal dimensions of random attractors for stochastic FitzHugh-Nagumo system with multiplicative white noise

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Continuity and pullback attractors for a non-autonomous reaction-diffusion equation in \(\mathbb R^N\)

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Identifiers

DOI

10.11948/20200054

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6596600