学术报告通知

报告题目：Orbital stability of trigonometric periodic peakons for the modified Camassa-Holm equation

报告人：陈爱永教授（湖南第一师范学院）

报告时间：2019年9月26日下午5:00-6:00

报告地点：数统院307报告厅

报告摘要：We prove that the trigonometric periodic peakons for the modified Camassa-Holm equation are orbitally stable. The proof is inspired by [A. Constantin, W. Strauss, Comm. Pure. Appl. Math. 53 (2000)603-610] where the case of peakons of the Camassa-Holm is considered. The main difficulty is that in [A. Constantin, W. Strauss, Comm. Pure. Appl. Math. 53 (2000)603-610] the function F_u associated with a solution u(x, t) could be chosen to be independent of time, whereas here the function F_u(t) depends on time. We solve this problem by establishing a key equality and two inequalities associated with three conservation laws. Our approach can also be applied to stability of elliptic periodic peakons.

报告人简介：陈爱永，博士，教授，硕士生导师, 湖南省121创新人才工程第二层次人选。研究方向：常微分方程与动力系统。主持国家自然科学基金项目2项，广西杰出青年基金获得者，曾获“广西自然科学二等奖”、“第十三届广西青年科技奖”。 已在 《J. Differential Equations》，《Studies in Applied Mathematics》等国际著名期刊发表论文近30篇。