Display Abstract

Title Some mathematical problems on the Doi-Edwards equation for polymer melts

Name Sorin I. Ciuperca
Country France
Email ciuperca@math.univ-lyon1.fr
Co-Author(s) A. Heibig and L.I. Palade
Submit Time 2014-02-28 07:34:23
Session
Special Session 9: Dissipative systems and applications
Contents
We consider the so called Doi-Edwards equation which gives the density distribution of the molecules of melted polymers. We first give results of existence, uniqueness and positivity of the solution of the evolution problem, as well as the existence of at least a stationnary solution. Secondly we consider a coupled problem between the Doi-Edwards equa- tion and a Navier-Stokes type equation in the particular case of a ''shear-flow'' fluid. We show that this problem falls into the category of K-BKZ models for visco-elastic fluids and we give a global in time existence result.