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 language | English (US) |
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Pages (from-to) | 502-520 |
Number of pages | 19 |
Journal | Journal des Mathematiques Pures et Appliquees |
Volume | 96 |
Issue number | 5 |
DOIs | |
State | Published - Nov 2011 |
Keywords
- Defect measure
- FENE-P model
- Global existence
- Micro-macro interactions
- Navier-Stokes equations
ASJC Scopus subject areas
- General Mathematics
- Applied Mathematics