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Global existence of weak solutions to some micro-macro models. (English) Zbl 1117.35312

Summary: We prove the global existence of weak solutions for the co-rotational FENE dumbbell model and the Doi model also called the Rod model. The proof is based on propagation of compactness, namely if we take a sequence of weak solutions which converges weakly and such that the initial data converges strongly then the weak limit is also a solution.

MSC:

35D05 Existence of generalized solutions of PDE (MSC2000)
82D60 Statistical mechanics of polymers
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