Blow-up phenomena and persistence properties for an integrable two-component peakon system

Blow-up phenomena and persistence properties for an integrable two-component peakon system

In this paper, we are concerned with an integrable two-component peakon system, which was proposed by Xia, Qiao and Zhou. We present a precise blow-up scenario and a new blow-up result for strong solutions to the system. Moreover, we prove that the strong solutions of the system maintain correspondi...

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Bibliographic Details
Published in:Journal of Differential Equations Vol. 263; no. 9; pp. 5787 - 5812
Main Authors: Yang, Shaojie, Xu, Tianzhou
Format: Journal Article
Language:English
Published: Elsevier Inc 05-11-2017
Subjects:
Algebraical decay
Blow-up
Exponential decay
Persistence properties
Two-component peakon system
Persistence properties
Algebraical decay
Exponential decay
Two-component peakon system
Blow-up
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Summary:In this paper, we are concerned with an integrable two-component peakon system, which was proposed by Xia, Qiao and Zhou. We present a precise blow-up scenario and a new blow-up result for strong solutions to the system. Moreover, we prove that the strong solutions of the system maintain corresponding properties at infinity within its lifespan provided the initial data decay exponentially and algebraically, respectively.
ISSN:0022-0396
1090-2732
DOI:10.1016/j.jde.2017.06.030