Nonexistence of global solutions for a nonlocal nonlinear hyperbolic system with linear damping

2012 ◽  
Vol 36 (6) ◽  
pp. 621-626
Author(s):  
S. Kerbal
Keyword(s):  
Hyperbolic System ◽  
Global Solutions ◽  
Nonlinear Hyperbolic System ◽  
Linear Damping ◽  
Nonlocal Nonlinear

Computational Models on Graphs for the Nonlinear Hyperbolic System of Equations

2004 ◽  
Author(s):  
Alexander S. Kholodov ◽  
Yaroslav A. Kholodov
Keyword(s):  
Hyperbolic System ◽  
Human Body ◽  
Partial Derivative ◽  
Computational Models ◽  
Heavy Traffic ◽  
Large River ◽  
System Of Equations ◽  
Information Flows ◽  
Flood Water ◽  
Nonlinear Hyperbolic System

The problems in the form of nonlinear partial derivative equations on graphs (nets, trees) arise in different applications. As the examples of such models we can name the circulatory and respiratory systems of the human body, the model of heavy traffic in the big cities, the model of flood water and pollution propagation in the large river systems, the model of bar structures and frames behavior under the different impacts, the model of the intensive information flows in the computer networks and others.

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