Stochastic Lagrange approach to viscous hydrodynamics

DOI10.1007/s10958-024-06906-7OpenAlexW4390863069WikidataQ130045870 ScholiaQ130045870MaRDI QIDQ6186371

Yuri E. Gliklikh

Publication date: 2 February 2024

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-024-06906-7

zbMATH Keywords

random processviscous fluidstochastic analysismean derivativeebin equationMarsden equationSobolev group of diffeomorphisms

Mathematics Subject Classification ID

Stochastic analysis applied to problems in fluid mechanics (76M35) Applications of stochastic analysis (to PDEs, etc.) (60H30) Diffusion processes and stochastic analysis on manifolds (58J65)

Cites Work

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• Global and stochastic analysis with applications to mathematical physics
• 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
• Non-Newtonian fluids and stochastic analysis on the groups of diffeomorphisms
• Solutions of Burgers, Reynolds, and Navier–Stokes Equations via Stochastic Perturbations of Inviscid Flows

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