Effective approximation of stochastic sine-Gordon equation with a fast oscillation
DOI10.1063/5.0030335zbMath1461.35256OpenAlexW3133785276MaRDI QIDQ5859134
Publication date: 15 April 2021
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/5.0030335
Initial-boundary value problems for second-order hyperbolic equations (35L20) Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) Initial-boundary value problems for second-order parabolic equations (35K20) NLS equations (nonlinear Schrödinger equations) (35Q55) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Second-order semilinear hyperbolic equations (35L71)
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Cites Work
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- Strong and weak orders in averaging for SPDEs
- An averaging principle for stochastic dynamical systems with Lévy noise
- Approximation for random stable manifolds under multiplicative correlated noises
- Long-time behavior of weakly coupled oscillators
- Long-time behavior of a coupled heat-wave system arising in fluid-structure interaction
- 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
- Compact sets in the space \(L^ p(0,T;B)\)
- Weak order in averaging principle for stochastic wave equation with a fast oscillation
- Smooth stable and unstable manifolds for stochastic evolutionary equations
- Random attractor for a damped sine-Gordon equation with white noise
- On the two-dimensional hyperbolic stochastic sine-Gordon equation
- Averaging principle for stochastic Korteweg-de Vries equation
- Averaging principles for the Swift-Hohenberg equation
- A Khasminskii type averaging principle for stochastic reaction-diffusion equations
- Thermoelastic wave propagation in a random medium and some related problems
- The dynamical sine-Gordon model
- Averaging approximation to singularly perturbed nonlinear stochastic wave equations
- Averaging Principle for Systems of Reaction-Diffusion Equations with Polynomial Nonlinearities Perturbed by Multiplicative Noise
- Averaging principle for multiscale stochastic reaction‐diffusion‐advection equations
- Smoothing Properties, Decay, and Global Existence of Solutions to Nonlinear Coupled Systems of Thermoelastic Type
- Invariant Gibbs dynamics for the dynamical sine-Gordon model
- Stochastic Equations in Infinite Dimensions
- Approximation properties for solutions to non-Lipschitz stochastic differential equations with Lévy noise
- Attractors for a Damped Stochastic Wave Equation of Sine–Gordon Type with Sublinear Multiplicative Noise
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