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Asymptotic stabilities of shocks and rarefaction waves under periodic perturbati ...

来源:复旦大学数学科学学院 | 2019-03-04 | 发布:经管之家

报告题目: Asymptotic stabilities of shocks and rarefaction waves under periodic perturbations for scalar 1-D convex conservation laws in both inviscid and viscous cases报 告 人:袁谦报告人所在单位?#21512;?#28207;中文大学报告日期:2019-03-15 星期五报告时间:8:30-9:30报告地点:光华东主楼1801报告摘要:
In this talk, we will introduce the recent results on the asymptotic stabilities of shocks and rarefaction waves under space-periodic perturbations for scalar 1-d convex conservation laws in both inviscid and viscous cases. Under arbitrary bounded periodic perturbation, both two kinds of waves are proved to be stable. However, there is a difference between the inviscid shock and the viscous shock profile, where the latter one will have a constant shift, but the former one will not. This shift is essentially due to the viscosity and the periodic perturbation, and it also depends on the structure of the flux. Besides, the shift will disappear as the viscosity vanishes. This work is a joint work with Prof. Zhouping Xin (CUHK) and Dr. Yuan Yuan (SCNU).

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本年度学院报告总序号:32
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