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

2017/05/19 by Donatella Donatelli, Donatelli, Donatella, Konstantina Trivisa +1
Mathematics · Computer Science · #Navier-Stokes equation solutions #Nonlinear Partial Differential Equations #Advanced Mathematical Modeling in Engineering

paper · pdf · doi:10.48550/arxiv.1705.07023

Abstract

We investigate the stability and global existence of weak solutions to a free\nboundary problem governing the evolution of polymeric fluids. We construct weak\nsolutions of the two-phase model by performing the asymptotic limit of a\nmacroscopic model governing the suspensions of rod-like molecules (known as\nDoi-Model) in compressible fluids as the adiabatic exponent \γ goes to\n\∞. The convergence of these solutions, up to a subsequence, to the\nfree-boundary problem is established using techniques in the spirit of Lions\nand Masmoudi citeLionsMasmoudi-1999.\n

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