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Global existence of weak solutions to the regularized Hookean dumbbell model

Global existence of weak solutions to the regularized Hookean dumbbell model

We consider a regularized Hookean dumbbell model in dilute polymeric solutions.Compared with the classical model, this model here is more natural, in which appear a macro diffusive term ε△xψ and Friedrichs mollifiers with a parameter α.Based on a compactness argument, the global existence of weak solutions to this model is …