Some properties of the upper convected Maxwell model for viscoelastic fluid flow (Q688002)

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scientific article; zbMATH DE number 437632
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Some properties of the upper convected Maxwell model for viscoelastic fluid flow
scientific article; zbMATH DE number 437632

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    Some properties of the upper convected Maxwell model for viscoelastic fluid flow (English)
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    9 December 1993
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    We have studied in two dimensions the upper convected Maxwell constitutive equation for a viscoelastic fluid together with the usual equations for conservation of mass and momentum. A small degree of compressibility is allowed. This can be considered as an artificial compressibility. We show convergence from the compressible to the incompressible solution for the periodic one-dimensional Cauchy problem.
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    unique solution
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    equations for conservation of mass and momentum
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    artificial compressibility
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    convergence
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    periodic one-dimensional Cauchy problem
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