Regularity criterion for the incompressible viscoelastic fluid system

Jishan Fan, Tohru Ozawa

Research output: Contribution to journalArticle

18 Citations (Scopus)

Abstract

We consider the incompressible viscoelastic fluid system of the Oldroyd-B model. We prove a regularity criterion Δv ∈ L1 (0,T;L ) for the 3-D Oldroyd-B system with the initial data (v0,H0 - I) G H x W1,q with 3 < q ≤ 6. Global well-posedness of smooth solution is also proven for a regularization model of this Oldroyd-B system in two space dimension.

Original languageEnglish
Pages (from-to)627-636
Number of pages10
JournalHouston Journal of Mathematics
Volume37
Issue number2
Publication statusPublished - 2011 Dec 26

Keywords

  • Oldroyd-B model
  • Regularity criterion
  • Viscoelastic fluid

ASJC Scopus subject areas

  • Mathematics(all)

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