Two dimensional Riemann problem for a 2 × 2 system of hyperbolic conservation laws involving three constant states

2018 ◽  
Vol 321 ◽  
pp. 49-62
Author(s):  
Jinah Hwang ◽  
Myoungin Shin ◽  
Suyeon Shin ◽  
Woonjae Hwang
Keyword(s):  
Conservation Laws ◽  
Riemann Problem ◽  
Hyperbolic Conservation Laws ◽  
Two Dimensional ◽  
Hyperbolic Conservation

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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