Ergodicity of a nonlinear stochastic reaction-diffusion equation with memory

DOI10.1016/j.spa.2022.10.005OpenAlexW4306386021MaRDI QIDQ2105068

Hung D. Nguyen

Publication date: 8 December 2022

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.03076

zbMATH Keywords

geometric ergodicityasymptotic couplingintegral stochastic equation

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Ergodicity, mixing, rates of mixing (37A25) Stochastic integral equations (60H20)

Related Items (2)

The small mass limit for long time statistics of a stochastic nonlinear damped wave equation ⋮ Polynomial mixing of a stochastic wave equation with dissipative damping

Cites Work

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• On unique ergodicity in nonlinear stochastic partial differential equations
• A theory of hypoellipticity and unique ergodicity for semilinear stochastic PDEs
• Markov chains and stochastic stability
• Invariant measures for dissipative dynamical systems: abstract results and applications
• Asymptotic coupling and a general form of Harris' theorem with applications to stochastic delay equations
• Pullback attractors for stochastic heat equations in materials with memory
• Singular limit of dissipative hyperbolic equations with memory
• The stochastic primitive equations in two space dimensions with multiplicative noise
• Exponential convergence for the stochastically forced Navier-Stokes equations and other partially dissipative dynamics
• Gibbsian dynamics and invariant measures for stochastic dissipative PDEs
• Generalized couplings and ergodic rates for SPDEs and other Markov models
• On the convergence of stationary solutions in the Smoluchowski-Kramers approximation of infinite dimensional systems
• On stationary solutions of a stochastic differential equation
• Existence and asymptotic behaviour for stochastic heat equations with multiplicative noise in materials with memory
• Ergodicity of the 2D Navier-Stokes equations with degenerate stochastic forcing
• Spectral gaps in Wasserstein distances and the 2D stochastic Navier-Stokes equations
• A general theory of heat conduction with finite wave speeds
• Material symmetry and thermostatic inequalities in finite elastic deformations
• Asymptotic Behavior of a Class of Nonlinear Stochastic Heat Equations with Memory Effects
• Existence for Nonlinear Volterra Equations in Hilbert Spaces
• Asymptotic Behavior of Solutions of Nonlinear Volterra Equations with Completely Positive Kernels
• Nonlinear Volterra Equations in a Hilbert Space
• Ergodicity for Infinite Dimensional Systems
• Stochastic Equations in Infinite Dimensions
• Singular limit of differential systems with memory
• On heat conduction in materials with memory
• STATIONARY SOLUTIONS OF STOCHASTIC DIFFERENTIAL EQUATIONS WITH MEMORY AND STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS
• Nonlinear Differential Equations of Monotone Types in Banach Spaces
• Second order PDE's in finite and infinite dimension
• Gibbsian dynamics and ergodicity for the stochastically forced Navier-Stokes equation
• Stochastic differential equations. An introduction with applications.

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