Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X43720171230Self-similar solutions of the Riemann problem for two-dimensional systems of conservation laws238323921121ENS. AyadDepartment of Mathematics, University of Oran1 Ahmed Ben Bella.
Laboratory of Fundamental and Applicable Analysis of Oran. BP 1524
El Menaouar, Oran, Algeria.Journal Article20160929In 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 problemhttp://bims.iranjournals.ir/article_1121_26684545248f1df176c79bb1a94bf1c4.pdf