  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.

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