On second-grade fluids with vanishing viscosity (Q1612068)
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scientific article; zbMATH DE number 1787282
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On second-grade fluids with vanishing viscosity |
scientific article; zbMATH DE number 1787282 |
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On second-grade fluids with vanishing viscosity (English)
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15 December 2002
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Summary: We consider the equation of a second-grade fluid with vanishing viscosity, also known as Camassa-Holm equation, and we prove local existence and uniqueness of solutions for smooth initial data. We also give a blow-up condition which implies that the solution is global in dimension two. Finally, we prove the convergence of solutions of second-grade fluid equation to the solution of Camassa-Holm equation as the viscosity tends to zero.
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second-grade fluid
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vanishing viscosity
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Camassa-Holm equation
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existence
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uniqueness
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smooth initial data
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blow-up condition
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convergence
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0.99878955
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0.90840346
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0.9072641
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0.8990881
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