Time-Splitting Schemes and Measure Source Terms for a Quasilinear Relaxing System

Several singular limits are investigated in the context of a 2 × 2 system arising for instance in the modeling of chromatographic processes. In particular, we focus on the case where the relaxation term and a L2 projection operator are concentrated on a discrete lattice by means of Dirac measures. This formulation allows one to study more easily some time-splitting numerical schemes.

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