Geodesic
Probabilistic representation of solutions to boundaryvalue problems for hydrodynamics equations
Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 29, Tome 249 (1997), pp. 77-101

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Links between random processes and partial differential equation theory allow to receive new nontrivial results both about stochastic processes and properties of boundary-value problems for parabolic and elliptic $PDE$. It makes to be natural to look for probabilistic representations of solutions to boundary-value problems for the Navier–Stokes system and other equations describing incompressible fluid motions such as Bussinesque, Burgers or magnitohydrodynamics equations. In this paper we costruct the probabilistic representation for solutions of boundary-value problems for the Navier–Stokes system. 
@article{ZNSL_1997_249_a4,
     author = {Ya. I. Belopol'skaya},
     title = {Probabilistic representation of solutions to boundaryvalue problems for hydrodynamics equations},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {77--101},
     publisher = {mathdoc},
     volume = {249},
     year = {1997},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1997_249_a4/}
}
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Ya. I. Belopol'skaya. Probabilistic representation of solutions to boundaryvalue problems for hydrodynamics equations. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 29, Tome 249 (1997), pp. 77-101. http://geodesic.mathdoc.fr/item/ZNSL_1997_249_a4/