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

On a free boundary problem for polymeric fluids: global existence of weak solutions 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 $$\gamma $$ 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 (Ann Inst Henri Poincaré 16:373–410, 1999). http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Nonlinear Differential Equations and Applications NoDEA Springer Journals

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

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Springer International Publishing
Copyright © 2017 by Springer International Publishing AG
Mathematics; Analysis
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