数学科学学院学术报告[2023] 015号

(高水平大学建设系列报告1038号)

报告题目: Singularity formation of (n + 1)-dimensional compressible Euler equations with free boundary

报告人：阮文威 （香港教育大学）

报告时间：2025年3月20日周四15：00-16：00

报告地点：致知楼207

报告内容：Here, we consider the general (N + 1)-dimensional compressible Euler equations with a free boundary (System A) and obtain that the classical solutions cannot survive after a finite time for all N. More specifically, for initial data with compactly supported density and without any symmetry assumptions, we show that the classical solutions to system A blow up in finite time by considering a general class of C2 positive test functions f(x) satisfying ∆f(x) = λf(x).

报告人简介：Dr. Manwai YUEN has been an assistant professor since 2014 in the Department of Mathematics and Information Technology at the Education University of Hong Kong, and as a lecturer in 2011-14. Dr. Yuen's research interest is applied analysis of nonlinear partial differential equations, specially involving blowup phenomena and similar solutions. Dr. Yuen's 73 journal papers (with 66 SCI or SCIE) were published by 36 international Math and Physics journals. His published papers have accumulated 563 citations and a H-index 13 from Scopus.

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邀请人：黄家兴

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