On the wave-breaking phenomena for the periodic two-component Dullin-Gottwald-Holm system

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:391

Article

Zhu, Min^1,2  Xu, Junxiang¹ 

[1] Southeast Univ, Dept Math, Nanjing 211189, Jiangsu, Peoples R China

[2] Nanjing Forestry Univ, Dept Math, Nanjing 210037, Jiangsu, Peoples R China

关键词: Periodic two-component;    Dullin-Gottwald-Holm system;    Blow-up;    Wave-breaking;   

DOI  :  10.1016/j.jmaa.2012.02.058

来源: Elsevier

【 摘 要 】

Considered herein is the well-posedness problem of the periodic two-component Dullin-Gottwald-Holm (DGH) system on the circle, which can be derived from Euler's equation with constant vorticity in shallow water waves moving over a linear shear flow. The result of blow-up solutions for certain initial profiles in a manner which corresponds to wave-breaking is established. (C) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

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