Lifespan of classical discontinuous solutions to the generalized nonlinear initial–boundary Riemann problem for hyperbolic conservation laws with small BV data: Rarefaction waves

2018 ◽  
Vol 44 ◽  
pp. 497-536
Author(s):  
Zhi-Qiang Shao
Keyword(s):  
Conservation Laws ◽  
Riemann Problem ◽  
Hyperbolic Conservation Laws ◽  
Initial Boundary ◽  
Rarefaction Waves ◽  
Discontinuous Solutions ◽  
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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