Asymptotically autonomous dynamics for fractional subcritical nonclassical diffusion equations driven by nonlinear colored noise

Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Infinite-dimensional random dynamical systems; stochastic equations (37L55) Fractional partial differential equations (35R11)

Cites Work

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Upper semicontinuity of attractors for nonclassical diffusion equations in $H^1(\mathbb{R}^3)$
Asymptotically autonomous multivalued Cauchy problems with spatially variable exponents
Random attractors for non-autonomous stochastic wave equations with multiplicative noise
Existence, uniqueness and asymptotic behavior of solutions for a nonclassical diffusion equation with delay
Global existence and finite time blow-up for a class of semilinear pseudo-parabolic equations
Sufficient and necessary criteria for existence of pullback attractors for non-compact random dynamical systems
Hitchhiker's guide to the fractional Sobolev spaces
Dynamics of quasi-stable dissipative systems
Asymptotic behaviour of a non-classical and non-autonomous diffusion equation containing some hereditary characteristic
Uniform attractors for non-autonomous random dynamical systems
Continuity properties and global attractors of generalized semiflows and the Navier-Stokes equations
Global attractors for damped semilinear wave equations.
Asymptotic behavior of random FitzHugh-Nagumo systems driven by colored noise
Regularity of pullback attractors for nonautonomous nonclassical diffusion equations
Asymptotically autonomous dynamics for parabolic equations
Regularity of random attractors for fractional stochastic reaction-diffusion equations on $\mathbb{R}^n$
Backward controllability of pullback trajectory attractors with applications to multi-valued Jeffreys-Oldroyd equations
On the constants for some fractional Gagliardo-Nirenberg and Sobolev inequalities
Attractors for reaction-diffusion equations in unbounded domains
Stability of random attractors under perturbation and approximation
Longtime robustness of pullback random attractors for stochastic magneto-hydrodynamics equations
Bi-spatial pullback attractors of fractional nonclassical diffusion equations on unbounded domains with $(p, q)$-growth nonlinearities
Dynamics of fractional nonclassical diffusion equations with delay driven by additive noise on $\mathbb{R}^n$
Long term behavior of random Navier-Stokes equations driven by colored noise
Global existence and finite time blowup for a nonlocal semilinear pseudo-parabolic equation
Long-time dynamics of fractional nonclassical diffusion equations with nonlinear colored noise and delay on unbounded domains
Well-posedness and dynamics of fractional FitzHugh-Nagumo systems on $\mathbb{R}^N$ driven by nonlinear noise
Asymptotic autonomy of kernel sections for Newton-Boussinesq equations on unbounded zonary domains
Dynamics of fractional stochastic reaction-diffusion equations on unbounded domains driven by nonlinear noise
Random dynamics of fractional nonclassical diffusion equations driven by colored noise
Attractors of asymptotically autonomous quasi-linear parabolic equation with spatially variable exponents
Existence and continuity of bi-spatial random attractors and application to stochastic semilinear Laplacian equations
Well-Posedness and Asymptotic Behavior of a Nonclassical Nonautonomous Diffusion Equation with Delay
Asymptotically autonomous robustness of random attractors for a class of weakly dissipative stochastic wave equations on unbounded domains
Long-time behavior of second order evolution equations with nonlinear damping
Von Karman Evolution Equations
Colored Noise in Dynamical Systems
Quasilinear Evolution Equations in Nonclassical Diffusion
A Damped Hyperbolic Equation on Thin Domains
Upper semicontinuity of attractors for small random perturbations of dynamical systems
An integrable shallow water equation with peaked solitons
Invariant measures of fractional stochastic delay reaction–diffusion equations on unbounded domains
Long Time Behavior of Stochastic Nonlocal Partial Differential Equations and Wong--Zakai Approximations
Asymptotic behavior of stochastic wave equations with critical exponents on $\mathbb{R}^{3}$
Asymptotic behavior of fractional nonclassical diffusion equations driven by nonlinear colored noise on $\mathbb{R}^N$
Flattening, squeezing and the existence of random attractors
Multivalued random dynamics of Benjamin-Bona-Mahony equations driven by nonlinear colored noise on unbounded domains