Well-posedness, blow-up phenomena and analyticity for a two-component higher order Camassa-Holm system

2018 ◽  
Vol 291 (10) ◽  
pp. 1595-1619 ◽  
Author(s):  
Shouming Zhou
Keyword(s):  
Blow Up ◽  
Higher Order ◽  
Well Posedness ◽  
Two Component

scholarly journals On the Blow-Up of Solutions of a Weakly Dissipative Modified Two-Component Periodic Camassa-Holm System

2012 ◽  
Vol 2012 ◽  
pp. 1-20 ◽  
Author(s):  
Yongsheng Mi ◽  
Chunlai Mu ◽  
Weian Tao
Keyword(s):  
Cauchy Problem ◽  
Blow Up ◽  
Strong Solutions ◽  
Well Posedness ◽  
Holm Equation ◽  
Two Component ◽  
The Cauchy Problem ◽  
Blow Up Rate

We study the Cauchy problem of a weakly dissipative modified two-component periodic Camassa-Holm equation. We first establish the local well-posedness result. Then we derive the precise blow-up scenario and the blow-up rate for strong solutions to the system. Finally, we present two blow-up results for strong solutions to the system.

Local well-posedness and blow-up phenomenon for a generalization two-component Camassa–Holm system

2019 ◽  
Vol 19 (4) ◽  
pp. 935-963
Author(s):  
Yuhui Chen ◽  
Jingchi Huang ◽  
Wei Luo ◽  
Fang Yu
Keyword(s):  
Blow Up ◽  
Well Posedness ◽  
Two Component

scholarly journals Well-posedness and blow-up phenomena for a higher order shallow water equation

2011 ◽  
Vol 251 (12) ◽  
pp. 3488-3499 ◽  
Author(s):  
Chunlai Mu ◽  
Shouming Zhou ◽  
Rong Zeng
Keyword(s):  
Shallow Water ◽  
Blow Up ◽  
Shallow Water Equation ◽  
Higher Order ◽  
Well Posedness

scholarly journals Well-Posedness, Blow-Up Phenomena, and Asymptotic Profile for a Weakly Dissipative Modified Two-Component Camassa-Holm Equation

2013 ◽  
Vol 2013 ◽  
pp. 1-11 ◽  
Author(s):  
Yongsheng Mi ◽  
Chunlai Mu
Keyword(s):  
Cauchy Problem ◽  
Blow Up ◽  
Strong Solutions ◽  
Asymptotic Behavior Of Solutions ◽  
Well Posedness ◽  
Asymptotic Profile ◽  
Holm Equation ◽  
Two Component ◽  
The Cauchy Problem ◽  
Blow Up Rate

We study the Cauchy problem of a weakly dissipative modified two-component Camassa-Holm equation. We firstly establish the local well-posedness result. Then we present a precise blow-up scenario. Moreover, we obtain several blow-up results and the blow-up rate of strong solutions. Finally, we consider the asymptotic behavior of solutions.

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