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数学学科现代分析及其应用研究所学术报告(辛周平 香港中文大学)

发布者:戴 情   发布时间:2021-11-22  浏览次数:10

非线性分析与PDE著名学者报告会辛周平教授香港中文大学

 

报告(一)Degenerate Potential Equation and Subsonic-Sonic Flows

报告人辛周平香港中文大学

会议时间1128日(周日), 上午 9:30-1030

会议地点: 20幢308

摘要 Steady compressible irrotational subsonic-sonic flows in general finite two

dimensional nozzles are governed by the potential flow equation which is a second order quasi linear elliptic equation degenerating at sonic points.  The wellposedness of regular solutions is a long standing open problem with only partial results available in the literature. In this talk I will present a rather complete theory of the wellposedness  of Lipchitz continuous solutions for such a problem for general smooth nozzles.  More importantly, the location of the sonic points are completely characterized by the geometry of the nozzle.  This is a joint work with Chunpeng  Wang.

 

报告(二)Convergence of Weak Solutions from the Landau-de-Gennes Theory to the Ericksen-Leslie Theory in 2D

报告人辛周平香港中文大学

会议时间1128日(周日)下午 14:00-1500

会议地点:  20幢308

 

摘要 Steady compressible irrotational subsonic-sonic flows in general finite two

dimensional nozzles are governed by the potential flow equation which is a second order quasi linear elliptic equation degenerating at sonic points.  The wellposedness of regular solutions is a long standing open problem with only partial results available in the literature. In this talk I will present a rather complete theory of the wellposedness  of Lipchitz continuous solutions for such a problem for general smooth nozzles.  More importantly, the location of the sonic points are completely characterized by the geometry of the nozzle.  This is a joint work with Chunpeng  Wang.

 

报告人简介:辛周平教授是香港中文大学数学系首席教授,香港中文大学数学科学研究所副所长,非线性科学研究中心主任。著名数学家,晨兴数学金奖获得者(2004),国际数学数学家大会45分钟报告邀请报告人(2002)。研究领域涉及偏微分方程、流体动力学方程、非线性波、数值分析,在双曲型守恒律、流体动力学和数值分析等研究方向取得了非常突出的成就,并在一维激波、高维激波、粘性激波、等领域做出了具有国际影响的研究成果。由于他在其研究领域的突出成就,1991年4月获得了美国“Sloan奖”(美国优秀博士后奖), 1993年9月获得了美国为杰出青年颁发的“美国总统奖”。2002年辛周平教授被邀请在国际数学家大会上做报告,2004年举办的“国际华人数学家大会”上,辛周平教授获得了“晨兴数学奖”,这是华人数学界的最高荣誉。主要学术兼职包括美国数学会会员、SIAM会员、《分析方法与应用》主编、《亚洲数学杂志》编委、《数学学报》编委、《SIAM Journal of Mathematical Analysis》编委、《Journal of Partial Differential Equations》编委、中国晨兴研究中心学术委员会委员。

邀请人:非线性分析与PDE团队