Martingale Problem Approach to the Representations of the Navier-Stokes Equations on Smooth Manifolds with Smooth Boundary

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dc.creatorRapoport, Diego L.
dc.date2002-04-02
dc.date.accessioned2026-07-07T04:29:07Z
dc.date.available2026-07-07T04:29:07Z
dc.descriptionWE PRESENT THE RANDOM REPRESENTATIONS FOR THE NAVIER-STOKES VORTICITY EQUATIONS FOR AN INCOMPRESSIBLE FLUID IN A SMOOTH MANIFOLD WITH BOUNDARY AND REFLECTING BOUNDARY CONDITIONS FOR THE VORTICITY. WE SPECIALIZE OUR CONSTRUCTIONS TO R(n-1)xR+. WE EXTEND THESE CONSTRUCTIONS TO GIVE THE RANDOM REPRESENTATIONS FOR THE KINEMATIC DYNAMO PROBLEM OF MAGNETOHYDRODYNAMICS. WE CARRY OUT THESE INTEGRATIONS THROUGH THE APPLICATION OF THE METHODS OF STOCHASTIC DIFFERENTIAL GEOMETRY, I.E. THE GAUGE THEORY OF DIFFUSION PROCESSES ON SMOOTH MANIFOLDS.
dc.description34 PAGES
dc.identifierhttps://arxiv.org/abs/math-ph/0204005
dc.identifierhttp://arxiv.org/abs/math-ph/0204005
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57034
dc.subjectMathematical Physics
dc.subjectAnalysis of PDEs
dc.subject35Q30; 60H10;60H30;60J60;76D06;76M35
dc.titleMartingale Problem Approach to the Representations of the Navier-Stokes Equations on Smooth Manifolds with Smooth Boundary
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