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On the local strong solutions for the FENE dumbbell model

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  • We consider a model for the polymeric fluid which has recently been studied in [12]. We show the local-in-time existence of a strong solution to the corresponding system of partial differential equations under less regularity assumptions on the initial data than in the mentioned paper. The main difference in our approach is the use of the $L^p$ theory for the Stokes system.
    Mathematics Subject Classification: Primary: 35Q35, 76D03; Secondary: 35Q30.

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