2025年第2期第12讲：吴轲博士学术报告

广州数学大讲坛第二期

第十二讲——香港中文大学吴轲博士学术报告

题目：The blow up analysis of solutions to the supercritical Fujita equation

时间：2025年3月1日（周六）上午10：30-12：00

地点：理学实验楼312

报告人：吴轲 博士

摘要：In this talk, we will discuss the properties of weighed energy of self similar solutions to the Fujita equation when the exponent p is supercritical. We will show that among bounded self similar solutions, the constant solutions have the lowest weighted energy. As an application, we will show that if p>(n+2)/(n-2) and u is a type I finite time blow up solution, then the intersection of the blow up set with any ball is contained in a (n-1)- rectifiable set together with a set of Hausdorff dimension at most n-3. This is a joint work with professor Kelei Wang and Juncheng Wei.

报告人简介：

吴轲，香港中文大学博士后，曾在武汉大学从事博士后工作。目前主要研究方向是非线性偏微分方程，在CVPDE、JDE、PAMS等期刊发表SCI论文多篇。