Newtonian Limit of Maxwell Fluid Flows |
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Authors: | Wen-An Yong |
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Institution: | 1. Zhou Pei-Yuan Center for Applied Mathematics, Tsinghua University, Beijing, 100084, China
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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. |
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