scholarly journals Global existence of strong solution for viscous shallow water system with large initial data on the irrotational part

2017 ◽  
Vol 262 (10) ◽  
pp. 4931-4978 ◽  
Author(s):  
Boris Haspot
Keyword(s):  
Initial Data ◽  
Global Existence ◽  
Shallow Water ◽  
Strong Solution ◽  
Water System ◽  
Large Initial Data ◽  
Shallow Water System

scholarly journals Blow-up Phenomena and Persistence Properties of Solutions to the Two-Component DGH Equation

2013 ◽  
Vol 2013 ◽  
pp. 1-13
Author(s):  
Panpan Zhai ◽  
Zhengguang Guo ◽  
Weiming Wang
Keyword(s):  
Initial Data ◽  
Shallow Water ◽  
Finite Time ◽  
Blow Up ◽  
Sufficient Conditions ◽  
Water System ◽  
Persistence Properties ◽  
Two Component ◽  
Shallow Water System

This paper is concerned with blow-up phenomena and persistence properties for an integrable two-component Dullin-Gottwald-Holm shallow water system. We give sufficient conditions on the initial data which guarantee blow-up phenomena of solutions in finite time for both periodic and nonperiodic cases, respectively. Furthermore, the persistence properties of solutions to the system are investigated.

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