Analysis on Models for Polymeric Fluids

In this talk, I'll discuss three distinct but interconnected models for polymeric fluids starting from the Doi model for the suspensionof rod-like molecule to a free boundary problem for the Doi model and the FENE Model. The analysis presents the global existence of weak solutions to these nonlinear systems. Moreover, our analysis builds a variational framework for these models which is suitable for simulations.

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