Strong convergence in averaging principle for stochastic hyperbolic-parabolic equations with two time-scales
DOI10.1016/j.spa.2015.03.004zbMath1322.60111OpenAlexW2964318368MaRDI QIDQ2347465
Hongbo Fu, Jicheng Liu, Li Wan
Publication date: 27 May 2015
Published in: Stochastic Processes and their Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.spa.2015.03.004
strong convergenceergodicityinvariant measureaveraging principlestochastic hyperbolic-parabolic equations
Strong limit theorems (60F15) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Systems with slow and fast motions for nonlinear problems in mechanics (70K70)
Related Items (48)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Strong and weak orders in averaging for SPDEs
- Stochastic averaging principle for dynamical systems with fractional Brownian motion
- Strong convergence rate in averaging principle for stochastic FitzHugh-Nagumo system with two time-scales
- Strong convergence of principle of averaging for multiscale stochastic dynamical systems
- An averaging principle for stochastic dynamical systems with Lévy noise
- Double averaging principle for periodically forced stochastic slow-fast systems
- Long-time behavior of weakly coupled oscillators
- Long-time behavior of a coupled heat-wave system arising in fluid-structure interaction
- Strong convergence of projective integration schemes for singularly perturbed stochastic differential systems
- The local and global existence of the solutions of hyperbolic-parabolic system modeling biological phenomena
- Averaging principle for a class of stochastic reaction-diffusion equations
- An averaging principle for stochastic differential delay equations with fractional Brownian motion
- Limit behavior of two-time-scale diffusions revisited
- On large deviations in the averaging principle for SDEs with a ``full dependence
- Asymptotically stable invariant manifold for coupled nonlinear parabolic-hyperbolic partial differential equations
- Diffusion approximation for slow motion in fully coupled averaging
- A Khasminskii type averaging principle for stochastic reaction-diffusion equations
- Thermoelastic wave propagation in a random medium and some related problems
- Another proof of the averaging principle for fully coupled dynamical systems with hyperbolic fast motions
- Global existence of solutions to a coupled parabolic-hyperbolic system with moving boundary
- Averaging Principle for Systems of Reaction-Diffusion Equations with Polynomial Nonlinearities Perturbed by Multiplicative Noise
- ON THE AVERAGING PRINCIPLE FOR SYSTEMS OF STOCHASTIC DIFFERENTIAL EQUATIONS
- Smoothing Properties, Decay, and Global Existence of Solutions to Nonlinear Coupled Systems of Thermoelastic Type
- Stochastic Equations in Infinite Dimensions
- Stochastic differential equations. An introduction with applications.
This page was built for publication: Strong convergence in averaging principle for stochastic hyperbolic-parabolic equations with two time-scales