Stability and random attractors for a reaction-diffusion equation with multiplicative noise

From MaRDI portal
Publication:1864070

DOI10.3934/dcds.2000.6.875zbMath1011.37031OpenAlexW2050536489MaRDI QIDQ1864070

James C. Robinson, Tomás Caraballo Garrido, José Antonio Langa

Publication date: 16 March 2003

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2000.6.875




Related Items (59)

Random attractors for a stochastic age-structured population modelFinite fractal dimensions of random attractors for stochastic FitzHugh-Nagumo system with multiplicative white noiseRandom attractors for stochastic semilinear degenerate parabolic equations with delayStabilization of a class of semilinear degenerate parabolic equations by Itô noiseUpper semicontinuity of attractors for lattice systems under singular perturbationsFractal dimension of random invariant sets for nonautonomous random dynamical systems and random attractor for stochastic damped wave equationRandom attractors of reaction-diffusion equations with multiplicative noise in \(L^p\)A modified proof of pullback attractors in a Sobolev space for stochastic FitzHugh-Nagumo equationsFinite fractal dimension of pullback attractors for non-autonomous 2D Navier--Stokes equations in some unbounded domainsFinite fractal dimension of random attractors for non-autonomous fractional stochastic reaction–diffusion equations in ℝRegular measurable dynamics for reaction-diffusion equations on narrow domains with rough noiseRandom attractor and random exponential attractor for stochastic non-autonomous damped cubic wave equation with linear multiplicative white noiseRandom attractors for stochastic reaction-diffusion equations with multiplicative noise in H01Random exponential attractor for stochastic reaction-diffusion equation with multiplicative noise in \(\mathbb{R}^3\)Stabilization of 3D Navier-Stokes-Voigt equationsExistence and upper semicontinuity of bi-spatial pullback attractors for smoothing cocyclesQualitative properties of local random invariant manifolds for SPDEs with quadratic nonlinearityDynamics of a stochastic fractional nonlocal reaction-diffusion model driven by additive noiseOn the pitchfork bifurcation for the Chafee-Infante equation with additive noiseRandom attractors for stochastic partly dissipative systemsRandom attractors for 3D Benjamin–Bona–Mahony equations derived by a Laplace-multiplier noiseMean attractors and invariant measures of locally monotone and generally coercive SPDEs driven by superlinear noiseLimiting dynamics for fractional stochastic reaction-diffusion equations driven by a Wong–Zakai approximation process on RnStabilization of oscillations in a phase transition modelCenter manifolds for rough partial differential equationsNumerical investigation on global dynamics for nonlinear stochastic heat conduction via global random attractors theoryThe stochastic Swift–Hohenberg equationRandom attractors for stochastic three-component reversible Gray-Scott system with multiplicative white noisePerturbation of stochastic Boussinesq equations with multiplicative white noise\((L^{2},L^{p})\)-random attractors for stochastic reaction-diffusion equation on unbounded domainsUpper semicontinuity of attractors for a non-Newtonian fluid under small random perturbationsA dynamical approximation for stochastic partial differential equationsFast-diffusion limit for reaction-diffusion equations with degenerate multiplicative and additive noiseFractal dimension of random attractors for stochastic non-autonomous reaction-diffusion equationsRandom attractors for quasi-continuous random dynamical systems and applications to stochastic reaction-diffusion equationsDynamics of a stochastic fractional reaction-diffusion equationRandom attractor for stochastic Boissonade system with time-dependent deterministic forces and white noisesFast-diffusion limit for reaction-diffusion equations with multiplicative noiseThe asymptotic behavior of the stochastic Ginzburg–Landau equation with multiplicative noiseLimiting dynamics for stochastic reaction-diffusion equations on the Sobolev space with thin domains\(H^1\)-random attractors and random equilibria for stochastic reaction-diffusion equations with multiplicative noisesOn a predator-prey reaction-diffusion model with nonlocal effectsFractal dimension of a random invariant set\((L^2,H^1)\)-random attractors for stochastic reaction-diffusion equation on unbounded domainsRandom Attractors for Von Karman Plates Subjected to Multiplicative White Noise LoadingsExistence and continuity of bi-spatial random attractors and application to stochastic semilinear Laplacian equationsAsymptotic behavior of the stochastic Kelvin–Voigt–Brinkman–Forchheimer equationsThe Global Random Attractor for a Class of Stochastic Porous Media EquationsDynamic behavior of stochastic p-Laplacian-type lattice equationsRandom attractors of Boussinesq equations with multiplicative noiseLimiting dynamics for stochastic FitzHugh–Nagumo equations on large domainsLong-time behavior of stochastic reaction-diffusion equation with multiplicative noiseAsymptotically autonomous dynamics for non-autonomous stochastic \(g\)-Navier-Stokes equation with additive noiseThe effect of noise on the Chafee-Infante equation: A nonlinear case studyLong time behavior and global dynamics of simplified Von Karman plate without rotational inertia driven by white noiseStrong convergence of bi-spatial random attractors for parabolic equations on thin domains with rough noiseAsymptotic behavior of two-dimensional stochastic magneto-hydrodynamics equations with additive noisesStability of random attractors under perturbation and approximationFractal dimension of random attractor for stochastic non-autonomous damped wave equation with linear multiplicative white noise




This page was built for publication: Stability and random attractors for a reaction-diffusion equation with multiplicative noise