Fast flow asymptotics for stochastic incompressible viscous fluids in \(\mathbb {R}^2\) and SPDEs on graphs

DOI10.1007/s00440-018-0839-8zbMath1418.60070arXiv1609.02828OpenAlexW2963641650MaRDI QIDQ1729701

Sandra Cerrai, Mark I. Freidlin

Publication date: 28 February 2019

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.02828

zbMATH Keywords

stochastic partial differential equationsaveraging principleMarkov processes on graphs

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Averaging of perturbations for nonlinear problems in mechanics (70K65)

Related Items (4)

Wave propagation for reaction-diffusion equations on infinite random trees ⋮ Stochastic PDEs on graphs as scaling limits of discrete interacting systems ⋮ Incompressible viscous fluids in \(\mathbb{R}^2\) and SPDEs on graphs, in presence of fast advection and non smooth noise ⋮ An averaging principle for stochastic flows and convergence of non-symmetric Dirichlet forms

Cites Work

• A PDE approach to small stochastic perturbations of Hamiltonian flows
• Reaction-diffusion in incompressible fluid: asymptotic problems.
• Stochastic evolution equations with a spatially homogeneous Wiener process
• Stochastic PDEs on graphs as scaling limits of discrete interacting systems
• SPDEs on narrow domains and on graphs: an asymptotic approach
• Random Perturbations of Dynamical Systems
• Stochastic Equations in Infinite Dimensions

This page was built for publication: Fast flow asymptotics for stochastic incompressible viscous fluids in \(\mathbb {R}^2\) and SPDEs on graphs