Interaction of delta shock waves for a nonsymmetric Keyfitz–Kranzer system of conservation laws

2021 ◽  
Vol 194 (4) ◽  
pp. 737-766
Author(s):  
Richard De la cruz ◽  
Marcelo Santos ◽  
Eduardo Abreu
Keyword(s):  
Shock Waves ◽  
Conservation Laws ◽  
Delta Shock ◽  
System Of Conservation Laws ◽  
Delta Shock Waves

scholarly journals Delta Shock Waves for a Linearly Degenerate Hyperbolic System of Conservation Laws of Keyfitz-Kranzer Type

2013 ◽  
Vol 2013 ◽  
pp. 1-10 ◽  
Author(s):  
Hongjun Cheng
Keyword(s):  
Shock Waves ◽  
Conservation Laws ◽  
Hyperbolic System ◽  
Delta Shock Wave ◽  
Riemann Solutions ◽  
Delta Shock ◽  
System Of Conservation Laws ◽  
Elementary Waves ◽  
Delta Shock Waves ◽  
Linearly Degenerate

This paper is devoted to the study of delta shock waves for a hyperbolic system of conservation laws of Keyfitz-Kranzer type with two linearly degenerate characteristics. The Riemann problem is solved constructively. The Riemann solutions include exactly two kinds. One consists of two (or just one) contact discontinuities, while the other contains a delta shock wave. Under suitable generalized Rankine-Hugoniot relation and entropy condition, the existence and uniqueness of delta shock solution are established. These analytical results match well the numerical ones. Finally, two kinds of interactions of elementary waves are discussed.

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