Well-posedness for the dumbbell model of polymeric fluids

E. Weinan; Tiejun Li; Pingwen Zhang

doi:10.1007/s00220-004-1102-y

Well-posedness for the dumbbell model of polymeric fluids

E. Weinan
, Tiejun Li
, Pingwen Zhang

Mathematics

Research output: Contribution to journal › Article › peer-review

80 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 language	English (US)
Pages (from-to)	409-427
Number of pages	19
Journal	Communications In Mathematical Physics
Volume	248
Issue number	2
DOIs	https://doi.org/10.1007/s00220-004-1102-y
State	Published - Jul 2004

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/s00220-004-1102-y

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title = "Well-posedness for the dumbbell model of polymeric fluids",

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.",

author = "E. Weinan and Tiejun Li and Pingwen Zhang",

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journal = "Communications In Mathematical Physics",

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AU - Weinan, E.

AU - Li, Tiejun

AU - Zhang, Pingwen

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N2 - 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.

AB - 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.

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UR - https://www.scopus.com/pages/publications/3242687156#tab=citedBy

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DO - 10.1007/s00220-004-1102-y

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EP - 427

JO - Communications In Mathematical Physics

JF - Communications In Mathematical Physics

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Well-posedness for the dumbbell model of polymeric fluids

Abstract

All Science Journal Classification (ASJC) codes

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