Hyperbolicity and Change of Type in the Flow of Viscoelastic Fluids.
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WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER
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The equations governing the flow of viscoelastic liquids are classified according to the symbol of their differential operators. Propagation of singularities is discussed and conditions for a change of type are investigated. The vorticity equation for steady flow can change type when a critical condition involving speed and stresses is satisfied. This leads to a partitioning of the field of flow into subcritical and supercritical regions, as in the problem of transonic flow. Author
- Numerical Mathematics
- Fluid Mechanics