Delta Shock Wave and Interactions in a Simple Model Case
نویسندگان
چکیده
It has been observed by various authors [3, 4, 5, 6, 8, 12] that the Riemann problem for certain equations from nonlinear elasticity and gasdynamics cannot be solved for all combinations of piecewise constant initial states with shock waves, rarefaction waves and contact discontinuities only. For that reason, the notion of a delta shock wave and a singular shock wave was introduced and employed by authors quoted above, and it was shown that a large class of Riemann problems can be solved globally with these additional building blocks. The aim of this paper is to study the interaction of one type of these new solutions, the delta shock waves, with the classical types of solutions. We continue the investigation of the model equation
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تاریخ انتشار 2006