Fig. 2From: “Irregularization” of systems of conservation lawsIrregularized Hopf equation. (Color online) Simulation of the irregularized Hopf Eq. (17) for two values of ε, at time t=1 (simulated with a conservative upwind differencing). Note that the singularity has both a positive and negative peak. Only the sum contributes to the delta shock; the difference can be described as a derivative of a δ-functionBack to article page