Newtonian limit of Maxwell fluid flows
Mathematical Physics
2015-06-15 v1 Analysis of PDEs
math.MP
Fluid Dynamics
Abstract
In this paper, we revise Maxwell's constitutive relation and formulate a system of first-order partial differential equations with two parameters for compressible viscoelastic fluid flows. The system is shown to possess a nice conservation-dissipation (relaxation) structure and therefore is symmetrizable hyperbolic. Moreover, for smooth flows we rigorously verify that the revised Maxwell's constitutive relations are compatible with Newton's law of viscosity.
Cite
@article{arxiv.1303.0373,
title = {Newtonian limit of Maxwell fluid flows},
author = {Wen-An Yong},
journal= {arXiv preprint arXiv:1303.0373},
year = {2015}
}
Comments
11 pages