scholarly journals Global existence of large solutions to conservation laws with nonlocal dissipation-type terms

2018 ◽  
Vol 48 (5) ◽  
pp. 589
Author(s):  
Wang Lijuan ◽  
Wang Weike ◽  
Xu Xin
Keyword(s):  
Global Existence ◽  
Conservation Laws ◽  
Large Solutions

Riemann problem for a class of 2 × 2 hyperbolic conservation laws

1996 ◽  
Vol 126 (4) ◽  
pp. 719-724 ◽  
Author(s):  
Changjiang Zhu
Keyword(s):  
Global Existence ◽  
Conservation Laws ◽  
Riemann Problem ◽  
Hyperbolic Conservation Laws ◽  
Hyperbolic Conservation

In this paper we prove the global existence of the solutions of the Riemann problem for a class of 2 × 2 hyperbolic conservation laws, which is neither necessarily strictly hyperbolic nor necessarily genuinely nonlinear.

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