Singular limit of mean-square invariant unstable manifolds for SPDEs driven by nonlinear multiplicative white noise in varying phase spaces
DOI10.1090/proc/15992zbMath1504.37068OpenAlexW4210761888MaRDI QIDQ5096654
Publication date: 18 August 2022
Full work available at URL: https://doi.org/10.1090/proc/15992
stochastic partial differential equationmean-square random dynamical systemrandom unstable manifoldsingularly perturbed phase space
Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Infinite-dimensional random dynamical systems; stochastic equations (37L55) Stability theory for random and stochastic dynamical systems (37H30)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Mean-square random dynamical systems
- Estimates on the distance of inertial manifolds
- Invariant manifolds for flows in Banach spaces
- Domain perturbation and invariant manifolds
- Limiting behavior of non-autonomous stochastic reaction-diffusion equations on thin domains
- Invariant manifolds for stochastic wave equations
- Stochastic 3D Navier-Stokes equations in a thin domain and its \(\alpha \)-approximation
- Approximately invariant manifolds and global dynamics of spike states
- Unstable invariant manifolds for stochastic PDEs driven by a fractional Brownian motion
- Geometric theory of semilinear parabolic equations
- Applications of centre manifold theory
- A random fixed point theorem and the random graph transformation
- Inertial manifolds on squeezed domains
- Invariant manifolds for stochastic partial differential equations.
- Smooth stable and unstable manifolds for stochastic evolutionary equations
- The stable manifold theorem for stochastic differential equations
- Reaction-diffusion equation on thin domains
- Invariant manifolds for parabolic equations under perturbation of the domain
- Mean-square random invariant manifolds for stochastic differential equations
- Limiting behavior of unstable manifolds for SPDEs in varying phase spaces
- Weak pullback attractors for stochastic Ginzburg-Landau equations in Bochner spaces
- Smooth convergence of random center manifolds for SPDEs in varying phase spaces
- Dynamics of stochastic reaction-diffusion lattice systems driven by nonlinear noise
- Weak pullback attractors for mean random dynamical systems in Bochner spaces
- Limiting behavior of dynamics for stochastic reaction-diffusion equations with additive noise on thin domains
- Asymptotic behavior of stochastic Fitzhugh-Nagumo systems on unbounded thin domains
- Random kick-forced 3D Navier-Stokes equations in a thin domain
- Random Dynamical Systems for Stochastic Evolution Equations Driven by Multiplicative Fractional Brownian Noise with Hurst Parameters $H{\in} (1/3,1/2$]
- Ck centre unstable manifolds
- Synchronization of a Stochastic Reaction‐Diffusion System on a Thin Two‐Layer Domain
- Existence and persistence of invariant manifolds for semiflows in Banach space
- Persistence of overflowing manifolds for semiflow
- Construction of stochastic inertial manifolds using backward integration
- Existence of invariant manifolds for coupled parabolic and hyperbolic stochastic partial differential equations
- On inertial manifolds for reaction-diffusion equations on genuinely high-dimensional thin domains
- Inertial manifolds and stationary measures for stochastically perturbed dissipative dynamical systems
- Stochastic inertial manifold
- Dynamics of stochastic FitzHugh–Nagumo systems with additive noise on unbounded thin domains
- The effect of domain squeezing upon the dynamics of reaction-diffusion equations
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