Remarks on the blowup criteria for Oldroyd models

Zhen Lei, Nader Masmoudi, Yi Zhou

Research output: Contribution to journalArticlepeer-review

Abstract

We provide a new method to prove and improve the Chemin-Masmoudi criterion for viscoelastic systems of Oldroyd type in [J.Y. Chemin, N. Masmoudi, About lifespan of regular solutions of equations related to viscoelastic fluids, SIAM J. Math. Anal. 33 (1) (2001) 84-112] in two space dimensions. Our method is much easier than the one based on the well-known losing a priori estimate and is expected to be easily adopted to other problems involving the losing a priori estimate.

Original languageEnglish (US)
Pages (from-to)328-341
Number of pages14
JournalJournal of Differential Equations
Volume248
Issue number2
DOIs
StatePublished - Jan 15 2010

Keywords

  • Blowup criteria
  • Losing a priori estimate
  • Oldroyd model

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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