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

Keywords

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

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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