Hyperbolicity and change of type in the flow of viscoelastic fluids (Q1062534)
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scientific article; zbMATH DE number 3913895
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Hyperbolicity and change of type in the flow of viscoelastic fluids |
scientific article; zbMATH DE number 3913895 |
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Hyperbolicity and change of type in the flow of viscoelastic fluids (English)
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1985
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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.
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classification of differential operators
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slip surface propagation
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upper convected Maxwell fluid
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Oldroyd fluid
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simple fluids with fading memory
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Propagation of singularities
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change of type
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vorticity equation for steady flow
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