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

Martingale problem approach to the representations of the Navier-Stokes equations on... 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Random Operators and Stochastic Equations de Gruyter

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

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References (45)

Publisher
de Gruyter
Copyright
Copyright 2003, Walter de Gruyter
ISSN
0926-6364
eISSN
1569-397x
DOI
10.1515/156939703322386887
Publisher site
See Article on Publisher Site

Abstract

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.

Journal

Random Operators and Stochastic Equationsde Gruyter

Published: Jun 1, 2003

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