Well-Posedness for the Dumbbell Model of Polymeric Fluids

• DOI: 10.1007/s00220-004-1102-y
• Publication Date: 2004-05-17T12:15:55Z
• Authors: Weinan E; Tiejun Li; Pingwen Zhang
• Keywords: Dumbbell; Stochastic modelling; Complex system

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.