Mathematical results and numerical methods for steady incompressible viscoelastic fluid flows (Q2754450)
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scientific article; zbMATH DE number 1671089
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Mathematical results and numerical methods for steady incompressible viscoelastic fluid flows |
scientific article; zbMATH DE number 1671089 |
Statements
21 February 2002
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incompressible homogeneous viscoelastic non-Newtonian fluids
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Rivlin-Ericksen fluid
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third-grade fluid
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second-grade fluid
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existence
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uniqueness
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asymptotic behavior
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numerical scheme
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Mathematical results and numerical methods for steady incompressible viscoelastic fluid flows (English)
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The authors present an overview of mathematical results for some models of incompressible, homogeneous, viscoelastic non-Newtonian fluids. The second- and third-grade Rivlin-Ericksen and Oldroyd fluids are discussed in a more detail. Various results on existence, uniqueness, and asymptotic behavior of solutions are systematically collected in this survey. The authors also discuss a numerical scheme for the simulations of a second-grade fluid.NEWLINENEWLINEFor the entire collection see [Zbl 0961.00018].
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