Embedded delta shocks
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Published on: January 2, 2018
1Department of Mathematics, ITAM, Río Hondo 1, Ciudad de México 01080, Mexico.
Abstract:
In 1977 Korchinski presented a new type of shock discontinuity in conservation laws. These singular solutions were coined δ-shocks since there is a time dependent Dirac delta involved. A naive description is that such δ-shock is of the overcompressive type: a single shock wave belonging to both families, the four characteristic lines of which impinge into the shock itself. In this work, we open the fan of solutions by studying two-family waves without intermediate constant states but possessing central rarefactions or comprising δ-shocks.
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