Well-Posedness for the Dumbbell Model of Polymeric Fluids
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- E, W., Li, T. & Zhang, P. Commun. Math. Phys. (2004) 248: 409. doi:10.1007/s00220-004-1102-y
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The dumbbell model is a coupled hydrodynamic-kinetic model for polymeric fluids in which the configurations of the dumbbells are described by stochastic differential equations. We prove well-posedness of this model by deriving directly a priori estimates on the stochastic model. Our results can be used to analyze stochastic simulation methods such as the ones that are based on Brownian configuration fields.