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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.

MSC:
35L65 Hyperbolic conservation laws
35L67 Shocks and singularities for hyperbolic equations
35Q35 PDEs in connection with fluid mechanics
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