Communications in Mathematical Physics

, Volume 248, Issue 2, pp 409–427

Well-Posedness for the Dumbbell Model of Polymeric Fluids

  • Weinan E
  • Tiejun Li
  • Pingwen Zhang
Article

DOI: 10.1007/s00220-004-1102-y

Cite this article as:
E, W., Li, T. & Zhang, P. Commun. Math. Phys. (2004) 248: 409. doi:10.1007/s00220-004-1102-y

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.

Copyright information

© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  • Weinan E
    • 1
    • 2
  • Tiejun Li
    • 3
  • Pingwen Zhang
    • 3
  1. 1.Department of Mathematics and PACMPrinceton UniversityPrincetonUSA
  2. 2.School of Mathematical SciencesPeking UniversityBeijingP.R. China
  3. 3.LMAM and School of Mathematical SciencesPeking UniversityBeijingP.R. China