Hyperbolicity, Change of Type, Wave Speeds and Related Matters
In this paper 1 will review some consequences of instantaneous elasticity for the numerical analysis of flows of viscoelastic liquids. 1 will consider situations which are associated with hyperbolic waves of vorticity. The vorticity equation may change type in steady and unsteady flow. In the latter case we get instability to short waves, ill-posedness, and, in the former, transonic flow. The two types of change are related. The regularizing effect of an effective Newtonian viscosity and the physical origins of viscosity are briefly reviewed.
KeywordsWave Speed Short Wave Maxwell Model Transonic Flow Vorticity Equation
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