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arXiv · 1705.07023

On a free boundary problem for polymeric fluids: Global existence of weak solutions

Donatella Donatelli·Konstantina Trivisa
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Abstract

We investigate the stability and global existence of weak solutions to a free boundary problem governing the evolution of polymeric fluids. We construct weak solutions of the two-phase model by performing the asymptotic limit of a macroscopic model governing the suspensions of rod-like molecules (known as Doi-Model) in compressible fluids as the adiabatic exponent $γ$ goes to $\infty.$ The convergence of these solutions, up to a subsequence, to the free-boundary problem is established using techniques in the spirit of Lions and Masmoudi \cite{LionsMasmoudi-1999}.

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Donatella Donatelli, Konstantina Trivisa. 2017-05-19. On a free boundary problem for polymeric fluids: Global existence of weak solutions. https://arxiv.org/abs/1705.07023

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