Abstract
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.
Original language | English (US) |
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Pages (from-to) | 409-427 |
Number of pages | 19 |
Journal | Communications In Mathematical Physics |
Volume | 248 |
Issue number | 2 |
DOIs | |
State | Published - Jul 2004 |
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Mathematical Physics