Blowup for Axisymmetric C^2 Solutions without Swirl of Compressible Euler Equations

發布者🤾🏽‍♂️:系統管理員發布時間:2023-06-13瀏覽次數:244

題目Blowup for Axisymmetric C^2 Solutions without Swirl of Compressible Euler Equations

時間2023613日,10:00-11:30

地點:EON体育4注册1C207

主講人:阮文威副教授香港教育大學

摘要:In this talk, we will report the life span of the axisymmetric non-vacuum solutions without swirl for the compressible Euler equations. By applying the vortex equation for the axisymmetric flow without swirl, we prove that there exist the corresponding blowup results for the C2 solutions with a sufficiently large initial functional.

主講人簡介: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 (The Hong Kong Institute of Education), and as a lecturer in 2011-14. Dr. Yuen obtained a BSc (1st Hons) in computing math in 2003 and a MPhil in math in 2006 from the City University of Hong Kong; a MSc in math in 2004 and a PGDE in math education in 2007 from the Chinese University of Hong Kong; and a Ph.D. in applied math from the Hong Kong Polytechnics University in 2012.

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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