Well-Posedness for the Dumbbell Model of Polymeric Fluids

نویسندگان

  • Weinan E
  • Tiejun Li
  • Pingwen Zhang
  • P. Zhang
چکیده

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.

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تاریخ انتشار 2004