On the shift differentiability of the flow generated by a hyperbolic system of conservation laws (Q1576898)
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scientific article; zbMATH DE number 1492637
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the shift differentiability of the flow generated by a hyperbolic system of conservation laws |
scientific article; zbMATH DE number 1492637 |
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On the shift differentiability of the flow generated by a hyperbolic system of conservation laws (English)
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16 August 2000
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The author adresses the question of differentiability of the flow generated by a strictly hyperbolic system of conservation laws. Using a simple decomposition of \(u\in\text{BV}\) in terms of its derivative, the author gives a unified definition of the shift tangent vector, valid both in the scalar and vector case. This extension allows the author to study the shift differentiability of the flow generated by a hyperbolic system of conservation laws.
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differentiability of the flow
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shift tangent vector
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