STOCHASTIC PROCESSES ON GROUPS OF DIFFEOMORPHISMS AND VISCOUS HYDRODYNAMICS

DOI10.1142/S0219025702000766zbMath1056.58010OpenAlexW2020985991MaRDI QIDQ4818891

Yana I. Belopolskaya, Yuri E. Gliklikh

Publication date: 24 September 2004

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219025702000766

zbMATH Keywords

Burgers equationdiffusion processNavier-Stokes equationgeodesichydrodynamicsgroup of diffeomorphisms

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Diffusion processes (60J60) Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Diffusion processes and stochastic analysis on manifolds (58J65)

Related Items (4)

Unnamed Item ⋮ Stochastic Wess–Zumino–Novikov–Witten model on the torus ⋮ Incompressible Euler equations with stochastic forcing: a geometric approach ⋮ Brownian surfaces with boundary and Deligne cohomology

Cites Work

• A variational principle for the Navier-Stokes equation
• 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
• The partial differential equation u_t + uu_x = μ_xx

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