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Delta shock waves in chromatography equations. (English) Zbl 1217.35120
Summary: The previous investigations on delta shock waves were mostly focused on those with Dirac delta function in only one state variable. In this paper, we obtain another kind from the nonlinear chromatography equations, in which the Dirac delta functions develop simultaneously in both state variables. It is strictly proved to satisfy the system in the sense of distributions. The generalized Rankine-Hugoniot relation and entropy condition are clarified. The numerical results completely coinciding with the theoretical analysis are presented.
MSC:
35L67Shocks and singularities
35L60Nonlinear first-order hyperbolic equations
35L65Conservation laws
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