Well-posedness and blow-up phenomena for a periodic two-component Camassa Holm equation

被引：22

作者：

Hu, Qiaoyi ^{[1
,2
]}

Yin, Zhaoyang ^{[2
]}

机构：

[1] S China Agr Univ, Dept Math, Guangzhou 510642, Guangdong, Peoples R China

[2] Sun Yat Sen Univ, Dept Math, Guangzhou 510275, Guangdong, Peoples R China

来源：

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 2011年 / 141卷

关键词：

SHALLOW-WATER EQUATION; DISPERSIVE WAVE-EQUATION; BREAKING; CIRCLE;

D O I：

10.1017/S0308210509001218

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish the local well-posedness for a periodic two-component Camassa-Holm equation. We then present precise blow-up scenarios. Finally, we obtain several blow-up results and the blow-up rate of strong solutions to the equation.

引用

页码：93 / 107

页数：15

共 50 条

[1] Well-posedness and blow-up for a modified two-component Camassa-Holm equation
Yu, Shengqi
[J]. APPLICABLE ANALYSIS, 2012, 91 (07) : 1321 - 1337
[2] Well-posedness and blow-up phenomena for the periodic generalized Camassa-Holm equation
Yin, ZY
[J]. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2004, 3 (03) : 501 - 508
[3] Well-posedness, blow-up phenomena and analyticity for a two-component higher order Camassa Holm system
Zhou, Shouming
[J]. MATHEMATISCHE NACHRICHTEN, 2018, 291 (10) : 1595 - 1619
[4] Well-posedness and blow-up solution for a modified two-component periodic Camassa–Holm system with peakons
Ying Fu
Yue Liu
Changzheng Qu
[J]. Mathematische Annalen, 2010, 348 : 415 - 448
[5] Well-posedness and blow-up phenomena for the 2-component Camassa-Holm equation
Escher, Joachim
Lechtenfeld, Olaf
Yin, Zhaoyang
[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2007, 19 (03): : 493 - 513
[6] WELL-POSEDNESS AND BLOW-UP PHENOMENA FOR A GENERALIZED CAMASSA-HOLM EQUATION
Li, Jinlu
Yin, Zhaoyang
[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2016, 36 (10): : 5493 - 5508
[7] Well-Posedness, Blow-Up Phenomena, and Asymptotic Profile for a Weakly Dissipative Modified Two-Component Camassa-Holm Equation
Mi, Yongsheng
Mu, Chunlai
[J]. JOURNAL OF APPLIED MATHEMATICS, 2013,
[8] On the blow-up phenomena for a modified periodic two-component Camassa-Holm equation
Liu, Jingjing
Yin, Zhaoyang
[J]. IMA JOURNAL OF APPLIED MATHEMATICS, 2012, 77 (04) : 563 - 577
[9] Well-posedness and blow-up solution for a modified two-component periodic Camassa-Holm system with peakons
Fu, Ying
Liu, Yue
Qu, Changzheng
[J]. MATHEMATISCHE ANNALEN, 2010, 348 (02) : 415 - 448
[10] Local well-posedness and blow-up phenomenon for a generalization two-component Camassa–Holm system
Yuhui Chen
Jingchi Huang
Wei Luo
Fang Yu
[J]. Journal of Evolution Equations, 2019, 19 : 935 - 963

← 1 2 3 4 5 →