On a micro-macro model for polymeric fluids near equilibrium

Fang-Hua Lin, Chun Liu, Ping Zhang

Research output: Contribution to journalArticle

Abstract

In this paper, we study a micro-macro model for polymeric fluid. The system involves coupling between the macroscopic momentum equation and a micro-scopic evolution equation describing the combined effects of the microscopic potential and thermofluctuation. We employ an energetic variation procedure to explore the relation between the macroscopic transport of the particles and the induced elastic stress due to the microscopic structure. For the initial data not far from the equilibrium, we prove the global existence and uniqueness of classical solutions to the system.

Original languageEnglish (US)
Pages (from-to)838-866
Number of pages29
JournalCommunications on Pure and Applied Mathematics
Volume60
Issue number6
DOIs
StatePublished - Jun 2007

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Macros
Momentum
Fluid
Fluids
Classical Solution
Global Existence
Evolution Equation
Existence and Uniqueness
Model

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

On a micro-macro model for polymeric fluids near equilibrium. / Lin, Fang-Hua; Liu, Chun; Zhang, Ping.

In: Communications on Pure and Applied Mathematics, Vol. 60, No. 6, 06.2007, p. 838-866.

Research output: Contribution to journalArticle

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