Global solutions for micro-macro models of polymeric fluids

Details Global solutions for micro-macro models of polymeric fluids Global solutions for micro-macro models of polymeric fluids

2012-03-13

arxiv.org/abs/1203.2700v1

Journal of Differential Equations, 250 (2011), no. 10, 3813-3830

Mathematics

Analysis of PDEs

Scientific paper

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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