A Stochastic View over the Open Problem of Well-posedness for the 3D Navier–Stokes Equations

DOI10.1007/978-3-0348-0909-2_8zbMath1330.35289OpenAlexW2474174294MaRDI QIDQ5743943

Franco Flandoli

Publication date: 9 February 2016

Published in: Stochastic Analysis: A Series of Lectures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-0348-0909-2_8

zbMATH Keywords

Navier-Stokes equationsstochastic forcingKolmogorov equationslinearized vorticity equationtransport type noise

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Research exposition (monographs, survey articles) pertaining to probability theory (60-02)

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Transient growth in stochastic Burgers flows ⋮ Stochastic 3D Leray-\(\alpha\) model with fractional dissipation ⋮ Stochastic Navier-Stokes equations for turbulent flows in critical spaces ⋮ Averaging principle for stochastic 3D fractional Leray-α model with a fast oscillation ⋮ Large deviations for stochastic 3D Leray-\( \alpha \) model with fractional dissipation ⋮ Singularity formation in the deterministic and stochastic fractional Burgers equation ⋮ Strong \(L^2\) convergence of time Euler schemes for stochastic 3D Brinkman-Forchheimer-Navier-Stokes equations

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