Asymptotic stability of shock waves and rarefaction waves under periodic perturbations for 1-D convex scalar conservation laws
classification
🧮 math.AP
keywords
wavesperiodicperturbationsrarefactionshockunderasymptoticconservation
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In this paper we study large time behaviors toward shock waves and rarefaction waves under periodic perturbations for 1-D convex scalar conservation laws. The asymptotic stabilities and decay rates of shock waves and rarefaction waves under periodic perturbations are proved.
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