Stochastic Lagrangian flows on some compact manifolds

DOI10.1080/17442508.2010.498916zbMath1266.58021OpenAlexW2080545441MaRDI QIDQ4648593

Ana Bela Cruzeiro, Marc Arnaudon

Publication date: 9 November 2012

Published in: Stochastics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17442508.2010.498916

zbMATH Keywords

Riemannian manifolddiffusion processNavier-Stokes equationhydrodynamicsstochastic Lagrangian flows

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Applications of stochastic analysis (to PDEs, etc.) (60H30) Diffusion processes and stochastic analysis on manifolds (58J65)

Related Items (1)

Nash embedding, shape operator and Navier-Stokes equation on a Riemannian manifold

Cites Work

• Unnamed Item
• Lagrangian Navier-Stokes diffusions on manifolds: variational principle and stability
• Gradient estimates on manifolds using coupling
• Navier-Stokes equation and diffusions on the group of homeomorphisms of the torus
• Sur la géométrie différentielle des groupes de Lie de dimension infinite et ses applications à l'hydrodynamique des fluides parfaits
• Groups of diffeomorphisms and the motion of an incompressible fluid

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