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Blowup of Solutions to the Two-Component Dullin–Gottwald–Holm System

Authors :
Mingxuan Zhu
Zhengguang Guo
Yaqiang Cao
Source :
Bulletin of the Malaysian Mathematical Sciences Society. 43:201-209
Publication Year :
2018
Publisher :
Springer Science and Business Media LLC, 2018.

Abstract

In this paper, we establish a new blow-up criterion for the two-component Dullin–Gottwald–Holm system. We show that strong solutions must blowup in finite time if the integral concerning initial momentum changes sign at some point $$x_0\in {\mathbb {R}}$$.

Details

ISSN :
21804206 and 01266705
Volume :
43
Database :
OpenAIRE
Journal :
Bulletin of the Malaysian Mathematical Sciences Society
Accession number :
edsair.doi...........75751962738b706d3d91fdcf691d7217
Full Text :
https://doi.org/10.1007/s40840-018-0672-3