Global well-posedness and weak pullback mean random attractors are established for abstract stochastic hydrodynamic equations with multiplicative Lévy noise, along with invariant measures and pullback measure attractors under extra conditions.
Applebaum, L´ evy Processes and Stochastic Calculus, 2nd ed., Cambridge University Press, Cam- bridge
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Long-time dynamics of stochastic 2D hydrodynamic-type evolution equations driven by multiplicative L\'{e}vy noise
Global well-posedness and weak pullback mean random attractors are established for abstract stochastic hydrodynamic equations with multiplicative Lévy noise, along with invariant measures and pullback measure attractors under extra conditions.