Self-similar solutions‎ ‎of the Riemann problem for two-dimensional systems of conservation‎ ‎laws

Document Type : Research Paper


Department of Mathematics‎, ‎University of Oran1 Ahmed Ben Bella‎. ‎Laboratory of Fundamental and Applicable Analysis of Oran‎. ‎BP 1524‎ ‎El Menaouar‎, ‎Oran‎, ‎Algeria.


In this paper, a new approach is applied to study the self-similar solutions of 2×2 systems of nonlinear hyperbolic conservation laws. A notion of characteristic directions is introduced and then used to construct local and smooth solutions of the associated Riemann problem


Main Subjects

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