Random symplectic geometry and the realizations of the random representations of the Navier-Stokes equations by ordinary differential equations

DOI10.1515/156939703771891888zbMath1094.37042OpenAlexW4233126674WikidataQ115237087 ScholiaQ115237087MaRDI QIDQ5467636

Diego L. Rapoport

Publication date: 24 May 2006

Published in: Random Operators and Stochastic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/156939703771891888

zbMATH Keywords

Navier-Stokes equationsWiener processdynamical systemsEuler equationrandom symplectic geometry

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Stochastic analysis applied to problems in fluid mechanics (76M35) Applications of manifolds of mappings to the sciences (58D30) Diffusion processes and stochastic analysis on manifolds (58J65) Hamiltonian systems on groups of diffeomorphisms and on manifolds of mappings and metrics (37K65) Limit theorems in probability theory (60F99)

Related Items

On the geometry of the random representations for viscous fluids and a remarkable pure noise representation

Cites Work

• A variational principle for the Navier-Stokes equation
• On the interaction of spin and torsion
• Stochastic processes in conformal Riemann-Cartan-Weyl gravitation
• Infinite-dimensional dynamical systems in mechanics and physics
• Mathematical theory of incompressible nonviscous fluids
• Vorticity and turbulence
• Random diffeomorphisms and integration of the classical Navier-Stokes equations
• Global analysis in mathematical physics. Geometric and stochastic methods. Transl. from the Russian by V. L. Ginzburg.
• Turbulence, Coherent Structures, Dynamical Systems and Symmetry
• Applied Analysis of the Navier-Stokes Equations
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