Blow-up phenomena for the rotation-two-component Camassa-Holm system
Jingjing Liu
TL;DR
This paper investigates the conditions under which solutions to the rotation-two-component Camassa-Holm system blow up, providing new blow-up results, scenarios, and rates for this water wave model influenced by Coriolis effects.
Contribution
It introduces new blow-up results and scenarios for the R2CH system, enhancing understanding of solution behaviors under rotational effects.
Findings
Derived the precise blow-up scenario for R2CH with positive parameter
Presented two new blow-up results for strong solutions
Established the exact blow-up rate for solutions
Abstract
In this paper, we study blow-up phenomena for the rotation-two-component Camassa- Holm (R2CH) system, a model of equatorial water waves that includes the effect of the Coriolis force. We first derive the precise blow-up scenario for R2CH with ? > 0: Then, we present two new blow-up results for strong solutions to the system and then the precise blow-up rate for strong solutions to the system is given.
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Taxonomy
TopicsNonlinear Waves and Solitons · Nonlinear Photonic Systems · Advanced Differential Equations and Dynamical Systems