Well-Posedness of the multidimensional fractional stochastic Navier-Stokes equations on the torus and on bounded domains

Debbi, Latifa2016-06-162016-06-1620161422-6928https://dspace.univ-boumerdes.dz/handle/123456789/2962enFractional stochastic Navier-Stokes equationFractional stochastic vorticity Navier-Stokes equationQ-Wiener processSubcriticalCriticalSupercriticalDissipative and hyperdissipative regimesMartingaleMildGlobalLocal and weak-strong solutionsRiesz transformSerrin's conditionBeale-Kato-Majda conditionFractional Sobolev spacesGamma-radonifying operatorsUMD Banach spaces of type 2Pseudo-differential operatorsSkorokhod embedding theoremFaedo-Galerkin approximationCompactness methodsWell-Posedness of the multidimensional fractional stochastic Navier-Stokes equations on the torus and on bounded domainsArticle