Well-Posedness for the Dumbbell Model of Polymeric Fluids
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.
KeywordsDifferential Equation Stochastic Model Simulation Method Stochastic Differential Equation Stochastic Simulation
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