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

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dc.creatorKupferman, Raz
dc.creatorMangoubi, Claude
dc.creatorTiti, Edriss S.
dc.date2007-09-10
dc.date.accessioned2026-07-07T08:28:34Z
dc.date.available2026-07-07T08:28:34Z
dc.descriptionWe derive a criterion for the breakdown of solutions to the Oldroyd-B model in $\R^3$ in the limit of zero Reynolds number (creeping flow). If the initial stress field is in the Sobolev space $H^m$, $m> 5/2$, then either a unique solution exists within this space indefinitely, or, at the time where the solution breaks down, the time integral of the $L^\infty$-norm of the stress tensor must diverge. This result is analogous to the celebrated Beale-Kato-Majda breakdown criterion for the inviscid Eluer equations of incompressible fluids.
dc.identifierhttps://arxiv.org/abs/0709.1455
dc.identifierhttp://arxiv.org/abs/0709.1455
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/137662
dc.subjectAnalysis of PDEs
dc.subjectMathematical Physics
dc.subject35B35, 35Q35
dc.titleA Beale-Kato-Majda breakdown criterion for an Oldroyd-B fluid in the creeping flow regime
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