应数学系邀请，华南师范大学黄锐教授将于近日来公司进行讲学活动，欢迎老师和同学与其讨论交流！

报告时间：5月11日15:30

报告地点：数学系会议室（格物楼503）

报告题目：Asymptotic Stability of Non-Monotone Traveling Waves for Time-Delayed Nonlocal Dispersion Equations

报告摘要:

This talk is concerned with the stability of non-monotone traveling waves to a nonlocal dispersion equation with time-delay, a time-delayed integro-differential equation. When the equation is crossing-monostable, the equation and the traveling waves both loss their monotonicity, and the traveling waves are oscillating as the time-delay is big. In this paper, we prove that all non-critical traveling waves (the wave speed is greater than the minimum speed), including those oscillatory waves, are time-exponentially stable, when the initial perturbations around the waves are small. The adopted approach is still the technical weighted-energy method but with a new development. Numerical simulations in different cases are also carried out, which further confirm our theoretical result. Finally, as a corollary of our stability result, we immediately obtain the uniqueness of the traveling waves for the non-monotone integro-differential equation, which was open so far as we know.

报告人简介：

黄锐，华南师范大学数学科学学院教授，主要从事非线性扩散方程的研究工作。发表论文三十余篇，主持国家自然科学基金委基金，教育部高校博士点基金（新教师类），教育部归国留学基金，广东省和广州市基金等。