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• W4321523786 abstract "This paper is concerned with the Cauchy problem for a two-component Camassa-Holm system with high order nonlinearity, which is a multi-component extension of the Fokas-Olver-Rosenau-Qiao equation. Firstly, we state the local well-posedness for the Cauchy problem of the system in the framework of Sobolev-Besov spaces. Then, we establish the precise blow-up mechanism for the strong solutions by means of the transport equation theory. As is well-known, the H1-norm conservation law of the velocity component is crucial to study blow-up phenomena of the single Camassa-Holm type equation. However, it is no longer available for our nonlinear coupled system. To overcome this difficulty, we derive some suitable conservation laws by sufficiently exploiting the fine structure of the system. Based on which, we finally construct several new blow-up strong solutions with certain initial profiles in finite time." @default.
• W4321523786 created "2023-02-24" @default.
• W4321523786 creator A5008677770 @default.
• W4321523786 creator A5063084241 @default.
• W4321523786 date "2023-06-01" @default.
• W4321523786 modified "2023-09-23" @default.
• W4321523786 title "Blow-up data for a two-component Camassa-Holm system with high order nonlinearity" @default.
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• W4321523786 doi "https://doi.org/10.1016/j.jde.2023.02.023" @default.
• W4321523786 hasPublicationYear "2023" @default.
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