A Beale-Kato-Majda breakdown criterion for an Oldroyd-B fluid in the creeping flow regime

Raz Kupferman, Claude Mangoubi, Edriss S. Titi

We derive a criterion for the breakdown of solutions to the Oldroyd-B model in ${\mathbb{R}}^3$ in the limit of zero Reynolds number (creeping flow). If the initial stress field is in the So…