Uniqueness of solutions of the stochastic Navier–Stokes equation with invariant measure given by the enstrophy
Albeverio, S. ; Ferrario, B.
Ann. Probab., Tome 32 (2004) no. 1A, p. 1632-1649 / Harvested from Project Euclid
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A stochastic Navier–Stokes equation with space-time Gaussian white noise is considered, having as infinitesimal invariant measure a Gaussian measure μν whose covariance is given in terms of the enstrophy. Pathwise uniqueness for μν-a.e. initial velocity is proven for solutions having μν as invariant measure.
Publié le : 2004-04-14
Classification:  Navier–Stokes equation,  space-time white noise,  pathwise uniqueness,  Gaussian invariant measure,  76D05,  76M35,  74H25,  60G17,  60H15 
@article{1084884865,
     author = {Albeverio, S. and Ferrario, B.},
     title = {Uniqueness of solutions of the stochastic Navier--Stokes equation with invariant measure given by the enstrophy},
     journal = {Ann. Probab.},
     volume = {32},
     number = {1A},
     year = {2004},
     pages = { 1632-1649},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1084884865}
}

Albeverio, S.; Ferrario, B. Uniqueness of solutions of the stochastic Navier–Stokes equation with invariant measure given by the enstrophy. Ann. Probab., Tome 32 (2004) no. 1A, pp.  1632-1649. http://gdmltest.u-ga.fr/item/1084884865/