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math.AP2019
On Riemann solutions under different initial periodic perturbations at two infinities for 1-d scalar convex conservation laws
Qian Yuan, Yuan Yuan
This paper is concerned with the large time behaviors of the entropy solutions to one-dimensional scalar convex conservation laws, of which the initial data are assumed to approach…
math.AP2019
Asymptotic stability of shock profiles and rarefaction waves under periodic perturbations for 1-d convex scalar viscous conservation laws
Zhouping Xin, Qian Yuan, Yuan Yuan
This paper studies the asymptotic stability of shock profiles and rarefaction waves under space-periodic perturbations for one-dimensional convex scalar viscous conservation laws.…