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

Autor:	Ciuperca, Ionel Sorin, Heibig, Arnaud, Palade, Liviu Iulian
Rok vydání:	2014
Předmět:	Mathematics - Analysis of PDEs
Druh dokumentu:	Working Paper
Popis:	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 $t \geq 0$.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1406.5325 Zobrazit plný text záznamu View this record from Arxiv