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.
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页数：23
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