Global well-posedness for 2D polymeric fluid models and growth estimate

Nader Masmoudi, Ping Zhang, Zhifei Zhang

Research output: Contribution to journalArticlepeer-review

Abstract

Motivated by [P. Constantin, N. Masmoudi, Global well-posedness for a Smoluchowski equation coupled with Navier-Stokes equations in 2D, Comm. Math. Phys. 278 (2008) 179-191; F. Lin, Ping Zhang, Zhifei Zhang, On the global existence of smooth solution to the 2-D FENE dumbbell model, Comm. Math. Phys. 277 (2008) 531-553], we prove the global existence of smooth solutions to a coupled microscopic-macroscopic model for polymeric fluid in 2D under the co-rotational assumption. Furthermore, we provide an estimate on the time growth of these solutions. Our method is general and can be applied to the co-rotational FENE model and to the rod-like model without the co-rotational assumption.

Original languageEnglish (US)
Pages (from-to)1663-1675
Number of pages13
JournalPhysica D: Nonlinear Phenomena
Volume237
Issue number10-12
DOIs
StatePublished - Jul 15 2008

Keywords

  • Global well-posedness
  • Micro-macro interactions
  • Navier-Stokes equations
  • Nonlinear Fokker-Planck equations

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Condensed Matter Physics
  • Applied Mathematics

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