Diffusion approximation for nonlinear evolutionary equations with large interaction and fast boundary fluctuation

DOI10.1016/j.jde.2018.09.001zbMath1407.35018OpenAlexW2892117510MaRDI QIDQ1710533

Yan Lv, Wei Wang

Publication date: 22 January 2019

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2018.09.001

zbMATH Keywords

martingaleNeumann operatorfast boundary oscillationhighly oscillating random forcesingularly perturbed nonlinear wave equations

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Singular perturbations in context of PDEs (35B25) Initial-boundary value problems for second-order parabolic equations (35K20) Semilinear parabolic equations (35K58) Second-order semilinear hyperbolic equations (35L71)

Related Items (6)

Approximation for a generalized Langevin equation with high oscillation in time and space ⋮ Homogenization for stochastic Ginzburg-Landau equation on the half-line with fast boundary fluctuation ⋮ Stratonovich–Khasminskii averaging principle for multiscale random Korteweg–de Vries-Burgers equation ⋮ Diffusion approximation for multi-scale stochastic reaction-diffusion equations ⋮ Small mass limit and diffusion approximation for a generalized Langevin equation with infinite number degrees of freedom ⋮ Smoluchowski-Kramers approximation with state dependent damping and highly random oscillation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Fast transport asymptotics for stochastic RDEs with boundary noise
• Compact sets in the space \(L^ p(0,T;B)\)
• Infinite-dimensional dynamical systems in mechanics and physics.
• Diffusion limit of 3D primitive equations of the large-scale ocean under fast oscillating random force
• Singular homogenization with stationary in time and periodic in space coefficients
• Parabolic stochastic partial differential equations with dynamical boundary conditions.
• On the Smoluchowski-Kramers approximation for a system with an infinite number of degrees of freedom
• Diffusion approximation for self-similarity of stochastic advection in Burgers' equation
• Approximating Dynamics of a Singularly Perturbed Stochastic Wave Equation with a Random Dynamical Boundary Condition
• Ensemble Averaging for Dynamical Systems Under Fast Oscillating Random Boundary Conditions
• An Impact of Stochastic Dynamic Boundary Conditions on the Evolution of the Cahn-Hilliard System
• Ergodicity for Infinite Dimensional Systems
• Stochastic Equations in Infinite Dimensions

This page was built for publication: Diffusion approximation for nonlinear evolutionary equations with large interaction and fast boundary fluctuation