A new blowup criterion for strong solutions of a coupled periodic Camassa-Holm system
Yonghui Zhou, Xiaowan Li
TL;DR
This paper investigates wave breaking in a coupled periodic Camassa-Holm system, establishing a new criterion for solution blowup using characteristic methods and convolution estimates, and determining the blowup interval.
Contribution
Introduces a novel blowup criterion for strong solutions of the coupled Camassa-Holm system, advancing understanding of wave breaking phenomena.
Findings
New blowup criterion established
Existence interval for blowup points determined
Methodology based on characteristics and convolution estimates
Abstract
This paper is concerned with the wave breaking phenomena for a coupled periodic Camassa-Holm system. We establish a new blowup criterion for strong solutions by the method of characteristic and convolution estimates, and also give the existence interval of the blowup point.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsNonlinear Waves and Solitons · Advanced Differential Equations and Dynamical Systems · Fractional Differential Equations Solutions