Asymptotic Stability of Shock Waves and Rarefaction Waves under Periodic Perturbations for 1-D Convex Scalar Conservation Laws
SIAM JOURNAL ON MATHEMATICAL ANALYSIS（2019）
Abstract
In this paper we study large time behaviors toward shock waves and rarefaction waves under periodic perturbations for 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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Key words
conservation laws,shock waves,rarefaction waves,periodic perturbations
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