Viscous hydrodynamics through stochastic perturbations of flows of perfect fluids on groups of diffeomorphisms

zbMATH Open1011.37045MaRDI QIDQ2780419

Yuri E. Gliklikh

Publication date: 6 August 2002

Published in: Vestnik Voronezhskogo Gosudarstvennogo Universiteta. Seriya Fizika, Matematika (Search for Journal in Brave)

zbMATH Keywords

Navier-Stokes equationsBurgers equationinitial value problemcurves on the groups of diffeomorphismsmotion of perfect fluidsmotion of viscous fluids

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Applications of manifolds of mappings to the sciences (58D30) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Diffusion processes and stochastic analysis on manifolds (58J65) Hamiltonian systems on groups of diffeomorphisms and on manifolds of mappings and metrics (37K65) Statistical solutions of Navier-Stokes and related equations (76D06)

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