Well-posedness for the dumbbell model of polymeric fluids

E. Weinan, Tiejun Li, Pingwen Zhang

Research output: Contribution to journalArticle

67 Scopus citations

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 languageEnglish (US)
Pages (from-to)409-427
Number of pages19
JournalCommunications In Mathematical Physics
Volume248
Issue number2
DOIs
StatePublished - Jul 2004

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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