<?xml version="1.0" encoding="UTF-8"?><xml><records><record><source-app name="Biblio" version="6.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Cipriano, F.</style></author><author><style face="normal" font="default" size="100%">Cruzeiro, A. B.</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Navier-stokes equation and diffusions on the group of homeomorphisms of the torus</style></title><secondary-title><style face="normal" font="default" size="100%">COMMUNICATIONS IN MATHEMATICAL PHYSICS</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2007</style></year><pub-dates><date><style  face="normal" font="default" size="100%">{OCT}</style></date></pub-dates></dates><number><style face="normal" font="default" size="100%">{1}</style></number><publisher><style face="normal" font="default" size="100%">{SPRINGER}</style></publisher><pub-location><style face="normal" font="default" size="100%">{233 SPRING ST, NEW YORK, NY 10013 USA}</style></pub-location><volume><style face="normal" font="default" size="100%">275</style></volume><pages><style face="normal" font="default" size="100%">255-269</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;{A stochastic variational principle for the (two dimensional) Navier-Stokes equation is established. The velocity field can be considered as a generalized velocity of a diffusion process with values on the volume preserving diffeomorphism group of the underlying manifold. Navier-Stokes equation is reinterpreted as a perturbed equation of geodesics for the L (2) norm. The method described here should hold as well in higher dimensions.}&lt;/p&gt;
</style></abstract><work-type><style face="normal" font="default" size="100%">{Article}</style></work-type><notes><style face="normal" font="default" size="100%">&lt;p&gt;n/a&lt;/p&gt;
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