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arxiv: 1203.2700 · v1 · submitted 2012-03-13 · 🧮 math.AP

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Global solutions for micro-macro models of polymeric fluids

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keywords couplingfluidsglobalmethodco-rotationalcompareddimensionsdirect
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We provide a new proof for the global well-posedness of systems coupling fluids and polymers in two space dimensions. Compared to the well-known existing method based on the losing a priori estimates, our method is more direct and much simpler. The co-rotational FENE dumbbell model and the coupling Smoluchowski and Navier-Stokes equations are studied as examples to illustrate our main ideas.

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