Abstract
Joseph, K.T., A Riemann problem whose viscosity solutions contain 8-measures, Asymptotic Analysis 7 (1993) 105-120. In this paper we study the Riemann problem for a 2 X 2 system of conservation laws, whose solution need not be real-valued functions, but may contain 8-measures concentrated along some curves. We consider a parabolic approximation of the Riemann problem and obtain an explicit formula. Then the solution of the Riemann problem is obtained as the limit of this approximate solution.
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