报告题目：Average speed of time almost periodic traveling waves for rapidly/ slowly oscillating reaction-diffusion equations

报 告 人：丁维维 教授 （华南师范大学）

报告时间：2024年11月8日（星期五） 10:30-11:30

报告地点：腾讯会议（线上）         会议ID： 896-341-291

校内联系人：苏远航 副教授         联系方式：84708351-8302

报告摘要：This talk is concerned with the wave propagation dynamics of time almost periodic reaction-diffusion equations. Assuming the existence of a time almost periodic traveling wave connecting two stable steady states, we focus on the asymptotic behavior of wave speeds in both rapidly and slowly oscillating environments. We prove that, in the rapidly oscillating case, the average speed of the time almost periodic wave converges to the constant wave speed of the homogenized equation. On the other hand, in the slowly oscillating case, the average speed converges to the arithmetic mean of the wave speeds for a family of equations with frozen coefficients. These explicit formulas for the limits of speeds also show the significant influences of temporal variations on wave propagation phenomena. Even in the periodic environment, it can alter the sign of bistable wave speeds.

报告人简介：丁维维，华南师范大学优聘教授，博导，2015年博士毕业于中国科学技术大学和法国艾克斯-马赛大学，曾先后在澳大利亚新英格兰大学、日本东京大学、日本明治大学从事博士后研究。主要研究领域为抛物方程的时空动力学和传播现象，他是该领域的青年专家，在Adv. Math.、Math. Ann.、JMPA、JFA、IUMJ、AIHP-AN等杂志上发表论文十余篇。曾主持日本JSPS博士后基金项目和国家自然科学基金青年项目，目前主持广东省自然科学基金杰出青年项目。