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On signed measure valued solutions of stochastic evolution equations. (English) Zbl 1426.76115

Summary: We study existence, uniqueness and mass conservation of signed measure valued solutions of a class of stochastic evolution equations with respect to the Wiener sheet, including as particular cases the stochastic versions of the regularized two-dimensional Navier-Stokes equations in vorticity form introduced by Kotelenez.

MSC:

76D06 Statistical solutions of Navier-Stokes and related equations
35Q30 Navier-Stokes equations
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