Stochastically symplectic maps and their applications to the Navier-Stokes equation

DOI10.1016/j.anihpc.2014.09.001zbMath1330.53103arXiv1310.8353OpenAlexW2963605505MaRDI QIDQ899238

Fraydoun Rezakhanlou

Publication date: 23 December 2015

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.8353

zbMATH Keywords

stochastic differential equationsymplectic geometryNavier-Stokes equationdiffusionsincompressible Euler equation

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Generation, random and stochastic difference and differential equations (37H10) Martingales and classical analysis (60G46) Euler equations (35Q31)

Related Items (8)

Implications of Kunita-Itô-Wentzell formula for \(k\)-forms in stochastic fluid dynamics ⋮ Stochastic differential equations with critically irregular drift coefficients ⋮ Stochastic differential equations with critical drifts ⋮ Stochastic Lagrangian perturbation of Lie transport and applications to fluids ⋮ Euler-Lagrangian approach to stochastic Euler equations in Sobolev spaces ⋮ Stochastic Lagrangian dynamics of vorticity. Part 1. General theory for viscous, incompressible fluids ⋮ Stochastic mean-field approach to fluid dynamics ⋮ Circulation and Energy Theorem Preserving Stochastic Fluids

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