Diffusion-Approximations for Navier-Stokes Equation in Space-Time Gaussian Velocity Field

DOI10.1081/SAP-200026472zbMath1063.60093OpenAlexW2062251860MaRDI QIDQ3158185

Hisao Watanabe

Publication date: 20 January 2005

Published in: Stochastic Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/sap-200026472

zbMATH Keywords

Navier-Stokes equationstochastic partial differential equationdistribution valued process

Mathematics Subject Classification ID

Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60)

Cites Work

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• Weak solutions of Navier-Stokes equations
• On the convergence of partial differential equations of parabolic type with rapidly oscillating coefficients to stochastic partial differential equations
• Diffusion approximation for the advection of particles in a strongly turbulent random environment
• Limits for parabolic partial differential equations with wide band stochastic coefficients andan application to filtering theory
• STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS AND TURBULENCE
• A diffusion-approximation theorem in navier-stokes equation

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