scholarly journals Global existence for a two-component Camassa-Holm system with an arbitrary smooth function

2018 ◽  
Vol 38 (11) ◽  
pp. 5523-5536
Author(s):  
Zeng Zhang ◽  
◽  
Zhaoyang Yin ◽  
◽  
Keyword(s):  
Global Existence ◽  
Smooth Function ◽  
Arbitrary Smooth Function ◽  
Two Component

scholarly journals Perturbational Blowup Solutions to the Two-Component Dullin-Gottwald-Holm System

2016 ◽  
Vol 2016 ◽  
pp. 1-5
Author(s):  
Ka Luen Cheung
Keyword(s):  
Global Existence ◽  
Exact Solutions ◽  
Two Component

We construct a family of nonradially symmetric exact solutions for the two-component DGH system by the perturbational method. Depending on the parameters, the class of solutions includes both blowup type and global existence type.

scholarly journals On the Global Well-Posedness of the Viscous Two-Component Camassa-Holm System

2012 ◽  
Vol 2012 ◽  
pp. 1-15
Author(s):  
Xiuming Li
Keyword(s):  
Global Existence ◽  
Existence Result ◽  
Well Posedness ◽  
Energy Identity ◽  
Two Component ◽  
Global Existence Result

We establish the local well-posedness for the viscous two-component Camassa-Holm system. Moreover, applying the energy identity, we obtain a global existence result for the system with(u0,η0)∈H1(ℝ)×L2(ℝ).

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