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arXiv · 1809.09308

Asymptotic stability of shock waves and rarefaction waves under periodic perturbations for 1-D convex scalar conservation laws

Zhouping Xin·Qian Yuan·Yuan Yuan
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Abstract

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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Zhouping Xin, Qian Yuan, Yuan Yuan. 2018-09-25. Asymptotic stability of shock waves and rarefaction waves under periodic perturbations for 1-D convex scalar conservation laws. https://arxiv.org/abs/1809.09308

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