Unidirectional steady flow of a viscoelastic fluid with a free surface (Q5957890)
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scientific article; zbMATH DE number 1719205
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Unidirectional steady flow of a viscoelastic fluid with a free surface |
scientific article; zbMATH DE number 1719205 |
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Unidirectional steady flow of a viscoelastic fluid with a free surface (English)
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13 March 2002
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Summary: We study the steady flow of a second grade fluid down an open inclined channel. We formulate the mathematical problem, a mixed boundary value problem for the Laplacian with an unknown free boundary described by a nonlinear second-order ODE, and prove existence of a unique solution for small data using a contraction argument.
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second grade fluids
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fixed point method
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uniqueness
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mixed boundary value problem
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Laplacian
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existence
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