Newtonian limit of Maxwell fluid flows
arXiv:1303.0373 · doi:10.1007/s00205-014-0769-2
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.
arXiv comment11 pages