On wave-breaking phenomena for a new generalized two-component shallow water wave system

被引：2
|
作者：
Dong, Xiaofang [1 ]
机构：
[1] Beijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R China
来源：
MONATSHEFTE FUR MATHEMATIK | 2021年 / 195卷 / 01期
关键词：
Two-component system; Shallow water wave; Wave-breaking phenomena; LOCAL WELL-POSEDNESS; BLOW-UP PHENOMENA; GLOBAL EXISTENCE; CAUCHY-PROBLEM; STABILITY; EQUATION; TRAJECTORIES; CRITERIA;
D O I：
10.1007/s00605-020-01473-w
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we mainly devote to investigate a generalized two-component Camassa-Holm system which can be derived from shallow water wave in equatorial ocean regions by Hu and Liu (Phys D 391:87-110, 2019). Depending on different real-valued interval of the competition or balance index sigma, we establish the new wave-breaking criteria and extend the earlier blow-up results for the system.
引用
收藏
页码：35 / 53
页数：19
相关论文
共 50 条
  • [21] Wave breaking for a generalized weakly dissipative two-component Camassa-Holm system
    Chen, Wenxia
    Tian, Lixin
    Deng, Xiaoyan
    Zhang, Jianmei
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2013, 400 (02) : 406 - 417
  • [22] Wave Breaking and Global Existence for a Generalized Two-Component Camassa-Holm System
    Chen, Robin Ming
    Liu, Yue
    INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2011, 2011 (06) : 1381 - 1416
  • [23] The wave transformation and breaking phenomena in shallow water
    Li Yucheng(Dalian University of Technology
    Acta Oceanologica Sinica, 1996, (02) : 261 - 272
  • [24] Wave-breaking and weak instability for the stochastic modified two-component Camassa-Holm equations
    Zhao, Yongye
    Li, Yongsheng
    Chen, Fei
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2023, 74 (04):
  • [25] Wave breaking and global existence for the generalized periodic two-component Hunter-Saxton system
    Moon, Byungsoo
    Liu, Yue
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2012, 253 (01) : 319 - 355
  • [26] Wave-Breaking Phenomena in a Relativistic Magnetized Plasma
    Maity, Chandan
    Sarkar, Anwesa
    Shukla, Padma Kant
    Chakrabarti, Nikhil
    PHYSICAL REVIEW LETTERS, 2013, 110 (21)
  • [27] ON THE CAUCHY PROBLEM FOR A GENERALIZED TWO-COMPONENT SHALLOW WATER WAVE SYSTEM WITH FRACTIONAL HIGHER-ORDER INERTIA OPERATORS
    He, Huijun
    Yin, Zhaoyang
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2017, 37 (03) : 1509 - 1537
  • [28] Travelling wave solutions for some two-component shallow water models
    Dutykh, Denys
    Ionescu-Kruse, Delia
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2016, 261 (02) : 1099 - 1114
  • [29] On the Wave-Breaking Phenomena in a Cold Magnetized Plasma
    Maity, Chandan
    Chakrabarti, Nikhil
    2014 XXXITH URSI GENERAL ASSEMBLY AND SCIENTIFIC SYMPOSIUM (URSI GASS), 2014,
  • [30] A unified deep-to-shallow water wave-breaking probability parameterization
    Filipot, Jean-Francois
    Ardhuin, Fabrice
    Babanin, Alexander V.
    JOURNAL OF GEOPHYSICAL RESEARCH-OCEANS, 2010, 115
12345