Convergence of the viscosity solutions for a viscoelastic model (Q1576568)
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scientific article; zbMATH DE number 1491655
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Convergence of the viscosity solutions for a viscoelastic model |
scientific article; zbMATH DE number 1491655 |
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Convergence of the viscosity solutions for a viscoelastic model (English)
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15 August 2000
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The existence of global weak solutions for a one-dimensional viscoelastic model is proven. Using the theory of singular perturbation of ordinary differential equations, a special entropy flux pair of Lax type is constructed, in which all terms of progression depend on a single variable. A convergence theorem for the method of artifical viscosity is applied to the Cauchy problem which describes the property of the considered viscoelastic model.
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viscoelastic model
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ordinary differential equation
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singular perturbation
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entropy flux
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method of artifical viscosity
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Cauchy problem
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