BLOW-UP OF SOLUTIONS TO THE ROTATION B-FAMILY SYSTEM MODELING EQUATORIAL WATER WAVES

被引：0

作者：

Zhu, Min ^{[1
]}

Wang, Ying ^{[2
]}

机构：

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

[2] Univ Elect Sci & Technol China, Dept Math, Chengdu 611731, Sichuan, Peoples R China

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2018年

关键词：

Rotation b-family system; blow up; wave-breaking; CAMASSA-HOLM EQUATION; SHALLOW-WATER; GEODESIC-FLOW; DIFFEOMORPHISM GROUP; BREAKING WAVES; WELL-POSEDNESS; STABILITY; PEAKONS; PERMANENT; EXISTENCE;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the blow-up mechanism to the periodic generalized rotation b-family system (R-b-family system). This model can be derived from the f-plane governing equations for the geographical water waves with a constant underlying current in the equatorial water waves with effect of the Coriolis force. When b = 2, it is a rotation two-component Camassa-Holm (R2CH) system. We consider the periodic R2CH system when linear dispersion is absent (which model is called r2CH system) and derive two finite-time blow-up results.

引用

页数：23

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