%0 Journal Article
%T Stochastic hydrodynamic-type evolution equations driven by L¨¦vy noise in 3D unbounded domains - abstract framework and applications
%A El£¿bieta Motyl
%J Mathematics
%D 2013
%I arXiv
%X The existence of martingale solutions of the hydrodynamic-type equations in 3D possibly unbounded domains is proved. The construction of the solution is based on the Faedo-Galerkin approximation. To overcome the difficulty related to the lack of the compactness of Sobolev embeddings in the case of unbounded domain we use certain Fr\'{e}chet space. We use also compactness and tightness criteria in some nonmetrizable spaces and a version of the Skorokhod Theorem in non-metric spaces. The general framework is applied to the stochastic Navier-Stokes, magneto-hydrodynamic (MHD) and the Boussinesq equations.
%U http://arxiv.org/abs/1306.5342v1