caa a22 4500 378866486 CHVBK 20180305123359.0 cr unu---uuuuu 161128e20030601xx s 000 0 eng 10.1515/156939703322386887 doi (NATIONALLICENCE)gruyter-10.1515/156939703322386887 Rapoport Diego L. Applied Mechanics, FIUBA, University of Buenos Aires P.Colón 850 Buenos Aires, University of Quilmes, Bernal, Argentina Martingale problem approach to the representations of the Navier-Stokes equations on smooth-boundary manifolds and semispace [Elektronische Daten] [Diego L. Rapoport] 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. Copyright 2003, Walter de Gruyter Random Operators and Stochastic Equations Walter de Gruyter 11/2(2003-06-01), 109-136 0926-6364 11:2<109 2003 11 rose https://doi.org/10.1515/156939703322386887 text/html Onlinezugriff via DOI 1 research article jats NATIONALLICENCE 856 40 https://doi.org/10.1515/156939703322386887 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Rapoport Diego L. Applied Mechanics, FIUBA, University of Buenos Aires P.Colón 850 Buenos Aires, University of Quilmes, Bernal, Argentina NATIONALLICENCE 773 0- Random Operators and Stochastic Equations Walter de Gruyter 11/2(2003-06-01), 109-136 0926-6364 11:2<109 2003 11 rose CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-gruyter