Averaging principle and normal deviations for multi-scale stochastic hyperbolic-parabolic equations
From MaRDI portal
Publication:6054236
DOI10.1007/s40072-022-00248-8zbMath1528.60068arXiv2011.05571OpenAlexW3103493352WikidataQ114219522 ScholiaQ114219522MaRDI QIDQ6054236
Li Yang, Longjie Xie, Michael Roeckner
Publication date: 27 September 2023
Published in: Stochastic and Partial Differential Equations. Analysis and Computations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2011.05571
homogenizationaveraging principlestrong and weak convergencestochastic hyperbolic-parabolic equations
Central limit and other weak theorems (60F05) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Systems with slow and fast motions for nonlinear problems in mechanics (70K70)
Related Items (1)
Cites Work
- Unnamed Item
- An averaging principle for diffusions in foliated spaces
- Strong uniqueness for stochastic evolution equations in Hilbert spaces perturbed by a bounded measurable drift
- Strong and weak orders in averaging for SPDEs
- Average and deviation for slow-fast stochastic partial differential equations
- Stochastic partial differential equations: an introduction
- Two-time-scale stochastic partial differential equations driven by \(\alpha\)-stable noises: averaging principles
- Well-posedness of semilinear stochastic wave equations with Hölder continuous coefficients
- Strong convergence of principle of averaging for multiscale stochastic dynamical systems
- Averaging dynamics driven by fractional Brownian motion
- Long-time behavior of a coupled heat-wave system arising in fluid-structure interaction
- Pathwise uniqueness for a class of SDE in Hilbert spaces and applications
- Asymptotics of solutions to semilinear stochastic wave equations
- Homogenization of periodic linear degenerate PDEs
- Averaging principle for a class of stochastic reaction-diffusion equations
- Normal deviations from the averaged motion for some reaction-diffusion equations with fast oscillating perturbation
- The stochastic nonlinear damped wave equation
- On Poisson equation and diffusion approximation. II.
- Weak order in averaging principle for stochastic wave equation with a fast oscillation
- Limit behavior of two-time-scale diffusions revisited
- Kolmogorov equations and weak order analysis for SPDEs with nonlinear diffusion coefficient
- Asymptotically stable invariant manifold for coupled nonlinear parabolic-hyperbolic partial differential equations
- On the Poisson equation and diffusion approximation. I
- Diffusion approximation for slow motion in fully coupled averaging
- Existence, uniqueness and invariant measures for stochastic semilinear equations on Hilbert spaces
- Diffusion limit for a stochastic kinetic problem
- Averaging principle and normal deviations for multiscale stochastic systems
- Diffusion approximation for fully coupled stochastic differential equations
- Rough homogenisation with fractional dynamics
- Orders of convergence in the averaging principle for SPDEs: the case of a stochastically forced slow component
- Superdiffusive limits for deterministic fast-slow dynamical systems
- Fluctuations around a homogenised semilinear random PDE
- Averaging principle for slow-fast stochastic differential equations with time dependent locally Lipschitz coefficients
- On the convergence of stationary solutions in the Smoluchowski-Kramers approximation of infinite dimensional systems
- Strong convergence in averaging principle for stochastic hyperbolic-parabolic equations with two time-scales
- Stochastic wave equations with dissipative damping
- A Khasminskii type averaging principle for stochastic reaction-diffusion equations
- Deterministic homogenization for fast-slow systems with chaotic noise
- Thermoelastic wave propagation in a random medium and some related problems
- Analysis of an HMM Time-Discretization Scheme for a System of Stochastic PDEs
- 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
- On Averaging Principles: An Asymptotic Expansion Approach
- Smoothing Properties, Decay, and Global Existence of Solutions to Nonlinear Coupled Systems of Thermoelastic Type
- Averaging Principle for Nonautonomous Slow-Fast Systems of Stochastic Reaction-Diffusion Equations: The Almost Periodic Case
- On Stochastic Processes Defined by Differential Equations with a Small Parameter
- Analysis of multiscale methods for stochastic differential equations
- Asymptotic behavior of multiscale stochastic partial differential equations with Hölder coefficients
This page was built for publication: Averaging principle and normal deviations for multi-scale stochastic hyperbolic-parabolic equations
