Abstract
The Riemann problem for a two-dimensional 2 × 2 nonstrictly hyperbolic system of nonlinear conservation laws has been considered for constant initial data having discontinuities on three rays with vertex at the origin. The solutions are constructed for some one-J and non-R initial data. One kind of new discontinuity, which is labelled as the Δ-shock wave, appears in some solutions. The Δ-shock wave is a discontinuity plane that is the suport of a generalized function.
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