The Cauchy problem for a dissipative periodic 2-component Degasperis-Procesi system (Q2336406)
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| Language | Label | Description | Also known as |
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| English | The Cauchy problem for a dissipative periodic 2-component Degasperis-Procesi system |
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The Cauchy problem for a dissipative periodic 2-component Degasperis-Procesi system (English)
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19 November 2019
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Summary: The dissipative periodic 2-component Degasperis-Procesi system is investigated. A local well-posedness for the system in Besov space is established by using the Littlewood-Paley theory and a priori estimates for the solutions of transport equation. The wave-breaking criterions for strong solutions to the system with certain initial data are derived.
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