On weak solutions of an initial-boundary value problem for the equation of motion of a viscoelastic fluid. (Q1432649)
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scientific article; zbMATH DE number 2074907
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On weak solutions of an initial-boundary value problem for the equation of motion of a viscoelastic fluid. |
scientific article; zbMATH DE number 2074907 |
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On weak solutions of an initial-boundary value problem for the equation of motion of a viscoelastic fluid. (English)
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15 June 2004
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For space dimensions ranging from 2 to 4, the authors prove the unique existence of a weak solution describing the flow of an Oldroyd fluid. The proof is based on topological degree theory and on some properties of \(L\)-condensing mappings in Hilbert spaces.
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Oldroyd fluid
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topological degree
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\(L\)-condensing mappings
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