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Blowup for Classical Solutions of Isothermal Euler Equations in R^N with the Second Inertia Functional of Reference
阮文威 助理教授(香港教育大学)
2025/5/13 13:30  闵行校区数学楼401

主持人:袁海荣 教授

报告简介:
This talk considers the general N-dimensional isothermal compressible Euler equations such that the initial density has a positive background density. By investigating the relations between the total reference mass, total reference energy, and the reference second inertia H(t) in the case with background density, we establish a finite time blowup result with large data. It is shown that sufficiently large values of -(H(0) + H'(0)) guarantee that the classical solutions of the system cannot survive smoothly on or before the time t = 1. This is described as a sole blowup condition depending only on the initial data and initial parameters.

主讲人简介:
Dr. YUEN Manwai has been an assistant professor in the Education University of Hong Kong. He obtained a Ph.D. in applied math from the Hong Kong Polytechnics University. Dr. Yuen's research interest is applied analysis of nonlinear partial differential equations, especially involving blowup phenomena and similar solutions. Dr. Yuen's about 90 journal papers (with 80 SCI or SCIE). His published papers have accumulated 685 citations and a H-index 15 from Scopus.