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**Linearization of the Riemann problem for a triangular system of conservation laws and delta shock wave formation process.**
*(English)*
Zbl 1189.35178

Summary: Using the weak asymptotic method, we approximate a triangular system of conservation laws arising from the so-called generalized pressureless gas dynamics by a diagonal linear system. Then, we apply the usual method of characteristics to find approximate solution to the original system. As a consequence, we shall see how the delta shock wave naturally arises along the characteristics.

Also, we propose a procedure that could be applied to more general systems of conservation laws.

Also, we propose a procedure that could be applied to more general systems of conservation laws.

### MSC:

35L65 | Hyperbolic conservation laws |

35L67 | Shocks and singularities for hyperbolic equations |

35Q35 | PDEs in connection with fluid mechanics |

### Keywords:

non-strictly hyperbolic system; global approximate solution; weak asymptotic method; generalized pressureless gas dynamics
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\textit{D. Mitrovic} et al., Math. Methods Appl. Sci. 33, No. 7, 904--921 (2010; Zbl 1189.35178)

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