Global existence and local well-posedness of the 2D viscous shallow water system in Sobolev spaces

2015 ◽  
Vol 95 (1) ◽  
pp. 78-96 ◽  
Author(s):  
Yanan Liu ◽  
Zhaoyang Yin
Keyword(s):  
Global Existence ◽  
Shallow Water ◽  
Sobolev Spaces ◽  
Water System ◽  
Well Posedness ◽  
Shallow Water System

scholarly journals Well-posedness and derivative blow-up for a dispersionless regularized shallow water system

Nonlinearity ◽  
2019 ◽  
Vol 32 (11) ◽  
pp. 4346-4376
Author(s):  
Jian-Guo Liu ◽  
Robert L Pego ◽  
Yue Pu
Keyword(s):  
Shallow Water ◽  
Blow Up ◽  
Water System ◽  
Well Posedness ◽  
Shallow Water System

The local well-posedness of a chemotaxis-shallow water system with vacuum

2020 ◽  
Vol 41 (1) ◽  
pp. 231-240
Author(s):  
Jishan Fan ◽  
Fucai Li ◽  
Gen Nakamura
Keyword(s):  
Shallow Water ◽  
Water System ◽  
Well Posedness ◽  
Shallow Water System
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