Martingale problem approach to the representations of the Navier-Stokes equations on smooth-boundary manifolds and semispace

Verfasser / Beitragende:
[Diego L. Rapoport]
Ort, Verlag, Jahr:
2003
Enthalten in:
Random Operators and Stochastic Equations, 11/2(2003-06-01), 109-136
Format:
Artikel (online)
ID: 378866486
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100 1 |a Rapoport  |D Diego L.  |u Applied Mechanics, FIUBA, University of Buenos Aires P.Colón 850 Buenos Aires, University of Quilmes, Bernal, Argentina 
245 1 0 |a Martingale problem approach to the representations of the Navier-Stokes equations on smooth-boundary manifolds and semispace  |h [Elektronische Daten]  |c [Diego L. Rapoport] 
520 3 |a We present the random representations for the Navier-Stokes vorticity equations for an incompressible fluid in a smooth manifold with smooth boundary and reflecting boundary conditions for the vorticity. We specialize our constructions to R n−1 × R + . 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. 
540 |a Copyright 2003, Walter de Gruyter 
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