On the Doi-Edwards and K-BKZ rheological models for polymer fluids: an existence result for shear flows

2014/06/20 by Ionel Sorin Ciuperca, Ciuperca, Ionel Sorin, Arnaud Heibig +3
Chemical Engineering · Mathematics · Medicine · #Analysis of PDEs (math.AP) #Blood properties and coagulation #FOS: Mathematics #Navier-Stokes equation solutions #Rheology and Fluid Dynamics Studies

paper · pdf · doi:10.48550/arxiv.1406.5325

openalex publication_date 2014/06/20 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

This paper establishes the existence of smooth solutions for the Doi-Edwards rheological model of viscoelastic polymer fluids in shear flows. The problem turns out to be formally equivalent to a K-BKZ equation but with constitutive functions spanning beyond the usual mathematical framework. We prove, for small enough initial data, that the solution remains in the domain of hyperbolicity of the equation for all t ≥ 0.

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