1303.0373 (Wen-An Yong)

Newtonian limit of Maxwell fluid flows    [PDF]

Wen-An Yong

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.

View original: http://arxiv.org/abs/1303.0373