Global existence of weak solutions to macroscopic models of polymeric flows

Research output: Contribution to journalArticle

Abstract

One of the most classical closures approximation of the FENE model of polymeric flows is the one proposed by Peterlin, namely the FENE-P model. We prove global existence of weak solutions to the FENE-P model. The proof is based on the propagation of some defect measures that control the lack of strong convergence in an approximating sequence. Using a similar argument, we also prove global existence of weak solutions to the Giesekus and the Phan-Thien and Tanner models.

Original languageEnglish (US)
Pages (from-to)502-520
Number of pages19
JournalJournal des Mathematiques Pures et Appliquees
Volume96
Issue number5
DOIs
StatePublished - Nov 2011

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Existence of Weak Solutions
Global Existence
Strong Convergence
Model
Closure
Defects
Propagation
Approximation

Keywords

  • Defect measure
  • FENE-P model
  • Global existence
  • Micro-macro interactions
  • Navier-Stokes equations

ASJC Scopus subject areas

  • Applied Mathematics
  • Mathematics(all)

Cite this

Global existence of weak solutions to macroscopic models of polymeric flows. / Masmoudi, Nader.

In: Journal des Mathematiques Pures et Appliquees, Vol. 96, No. 5, 11.2011, p. 502-520.

Research output: Contribution to journalArticle

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