The FENE dumbbell model near equilibrium

Fang Hua Lin; Ping Zhang

doi:10.1007/s10114-007-1034-5

The FENE dumbbell model near equilibrium

Fang Hua Lin, Ping Zhang

Mathematics

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

Abstract

We study the global existence of smooth solutions near the equilibrium to a coupled microscopic-macroscopic FENE dumbbell model which arises from the kinetic theory of diluted solutions of polymeric liquids with noninteracting polymer chains.

Original language	English (US)
Pages (from-to)	529-538
Number of pages	10
Journal	Acta Mathematica Sinica, English Series
Volume	24
Issue number	4
DOIs	https://doi.org/10.1007/s10114-007-1034-5
State	Published - Apr 2008

Keywords

FENE dumbbell model
Fokker-Planck equations
Navier-Stokes equations
Polymeric liquids

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

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10.1007/s10114-007-1034-5

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title = "The FENE dumbbell model near equilibrium",

abstract = "We study the global existence of smooth solutions near the equilibrium to a coupled microscopic-macroscopic FENE dumbbell model which arises from the kinetic theory of diluted solutions of polymeric liquids with noninteracting polymer chains.",

keywords = "FENE dumbbell model, Fokker-Planck equations, Navier-Stokes equations, Polymeric liquids",

author = "Lin, {Fang Hua} and Ping Zhang",

note = "Funding Information: Received April 5, 2007, Accepted July 25, 2007 Lin is partially supported by NSF Grant DMS-0201443; Zhang is partially supported by NSF of China under Grants 10525101 and 10421101, 973 Project and the Innovation Grant from Chinese Academy of Sciences",

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KW - Fokker-Planck equations

KW - Navier-Stokes equations

KW - Polymeric liquids

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The FENE dumbbell model near equilibrium

Abstract

Keywords

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