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Distinguished Applied Mathematics Lectures by Professor Zhouping Xin 辛周平, January 7, 2014

2013-12-24

Speaker:Professor Zhouping Xin 辛周平
(William M. W. Mong Professor of Mathematics, The Chinese University of Hong Kong)
Title:On classical solutions for multi-dimensional Compressible Navier-Stokes system with large oscillations
Time:January 7 (Tuesday) 14:20-15:20pm
Venue:SA311

【摘要】
In this talk, I will survey some of the recent progress on global (in time) existence and regularity of solutions to the multi-dimensional compressible Navier-Stokes equations with possible large oscillations and vacuum. In particular, blow-up of smooth solutions and regularity of weak solutions of Lion-Feireisl with small total energy but possible large oscillations will be discussed. Surprising new phenomena on the behavior of solutions are observed. I will also discuss the roles played by the vacuum and new techniques developed for this theory. Both 2-dimensional and 3-dimensional theory will be presented.

【簡介】
辛周平原是紐約大學教授,2000年時他轉到亞洲發展,現在是香港中文大學講座教授。他的專長是偏微分方程,特別是來自流體力學、數學物理、非線性波等的非線性方程,他與金石的relaxation方法對流體的計算有重大貢獻,他在震波理論、三維可壓縮流理論、邊界層與非線性波的數學理論等也都有許多突破性的貢獻,並在2002年獲邀至四年一次的國際數學家大會作邀請報告。他是許多國際重要期刊的主編,在提昇亞洲數學發展有重要影響。

【榮譽與獎項(僅例部分)】
12/04 Morningside Gold Medalist in Mathematics, 2004
8/02 Invited Address, International Congress of Mathematicians, 2002
4/91 Sloan Research Fellowship Award, 1991-1993, USA
9/93 Presidential Fellow, NYU, 1993, USA
4/89 Best Thesis Award in Mathematics, 1988
  University of Michigan, Ann Arbor, USA

Download 1: poster.pdf

 


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