The Cauchy problem for a weakly dissipative 2-component Camassa-Holm system (Q1719173)
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scientific article; zbMATH DE number 7017293
| Language | Label | Description | Also known as |
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| English | The Cauchy problem for a weakly dissipative 2-component Camassa-Holm system |
scientific article; zbMATH DE number 7017293 |
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The Cauchy problem for a weakly dissipative 2-component Camassa-Holm system (English)
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8 February 2019
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Summary: The weakly dissipative 2-component Camassa-Holm system is considered. A local well-posedness for the system in Besov spaces is established by using the Littlewood-Paley theory and a priori estimates for the solutions of transport equation. The wave-breaking mechanisms and the exact blow-up rate of strong solutions to the system are presented. Moreover, a global existence result for strong solutions is derived.
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