关于举行华南师范大学袁源博士学术报告会的通知

报告题目：Periodic perturbations of Riemann solutions for 1-D conservation laws

报 告人：袁源博士(华南师范大学)

报告时间：2022年4月7日(星期四) 下午3:00-4:00  

报告地点：4号楼4318

邀 请人：金海洋教授

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数学学院

2022年4月6日

报告摘要：This talk mainly focuses on asymptotic stability of Riemann solutions under space-periodic perturbations for 1D conservation laws. It is proved that for the shock or rarefaction wave to the convex scalar conservation law, the shock profile to the convex scalar viscous conservation law, or the composite waves of two viscous shocks to the 1-D full compressible Navier-Stokes equations, the perturbed solution approaches the background Riemann solution, shock profile or the composite viscous shocks with a constant shift in the L-infinity norm at exponential rates. The new phenomena contrasting to the case of localized perturbations is that the constant shift cannot be determined by the initial excessive mass in general, which indicates that the periodic oscillations at infinities make contributions. These are joint works with Professor Zhouping Xin (CUHK) and Dr. Qian Yuan (AMSS, CAS).