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We investigate reversal and recirculation for the stationary Prandtl equations. Reversal describes the solution after the Goldstein singularity, and is characterized by regions in which u > O and u < 0. The classical point of view of regarding the Prandtl equations as an evolution equation in x completely breaks down since u changes sign. Instead, we view the problem as a quasilinear, mixed-type, free-boundary problem. This is a joint work with Sameer Iyer.
Event date: 14/3/2023
Speaker: Prof. Nader Masmoudi (New York University)
Hosted by: Department of Applied Mathematics
- Subjects:
- Mathematics and Statistics
- Keywords:
- Fluid dynamics -- Mathematical models
- Resource Type:
- Video
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Video
In the context of hyperbolic systems of balance laws with dissipative source manifesting relaxation, recent pr"Ogress will be reported in the program of passing to the limit, in 1he BV setting, as the relaxation lime tends to zero.
Event date: 16/2/2023
Speaker: Prof. Constantine Dafermos (Brown University)
Hosted by: Department of Applied Mathematics
- Subjects:
- Mathematics and Statistics
- Keywords:
- Equilibrium -- Mathematical models Relaxation Differential equations Hyperbolic
- Resource Type:
- Video
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Video
Models arising in biology are often written in terms of Ordinary Differential Equations. The celebrated paper of Kermack-McKendrick (19271, founding mathematical epidemiology, showed the necessity to include parameters in order to describe the state of the individuals, as time elapsed after infection. During the 70s, many mathematical studies were developed when equations are structured by age, size, more generally a physiological trait. The renewal, growth-fragmentation are the more standard equations. The talk will present structured equations, show that a universal generalized relative entropy structure is available in the linear case, which imposes relaxation to a steady state under non-degeneracy conditions. In the nonlinear cases, it might be that periodic solutions occur, which can be interpreted in biological terms, e.g., as network activity in the neuroscience. When the equations are conservation laws, a variant of the Monge-Kantorovich distance (called Fortet-Mourier distance) also gives a general non-expansion property of solutions.
Event date: 19/1/2023
Speaker: Prof. Benoît Perthame (Sorbonne University)
Hosted by: Department of Applied Mathematics
- Subjects:
- Biology and Mathematics and Statistics
- Keywords:
- Biomathematics Equations
- Resource Type:
- Video
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Video
Universities conduct research for three reasons: to educate students, to contribute to society, and to understand the world. While society often holds a view of the scholar as a solitary and singular genius, in reality scholars today participate in a highly collaborative, worldwide search for shared understandings that stand the test of time and the scrutiny of others. The problems in the 21st century often demand effort by teams of researchers with resources at scale: laboratories and equipment, compute resources, and expert staffing. Working with faculty, students, and other stakeholders to identify the greatest opportunities and the resources needed to address them is both a privilege and a challenge for modern academic administrators. In this talk, I will share three examples: fostering collaborative proposal-writing; planning for shared capabilities in experimental facilities, data, and computation; and transforming academic structures.
Event date: 12/4/2023
Speaker: Prof. Kathryn Ann Moler
Hosted by: PolyU Academy for Interdisciplinary Research
- Subjects:
- Statistics and Research Methods
- Keywords:
- Research Science
- Resource Type:
- Video
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Video
今天盛行的“科學育兒”話語和“科學母職”家政培訓背後,反映著中國現代化進程與家政工主體之間什麼樣的關係? 本講座從現代化的理論入手,以商業化科學母職培訓為切入點,展現國家和市場如何共同塑造農村打工女性的現代化主體。
日期:2022年11月18日
講者:蘇熠慧博士
主辦:香港孔子學院
- Subjects:
- Chinese Studies
- Keywords:
- China Women
- Resource Type:
- Video
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Video
中國戲曲源自新石器時代的巫術儀式,經歷漢代百戲、唐代戲弄和北宋雜劇,在北宋末融匯了多種形式的演出藝術、民歌、文人曲子及多種演唱文類,發展成戲曲鼻祖「南戲」。粵劇是清代地方劇種百花齊放的產品,既保留着近乎巫術儀式的《祭白虎》,也承傳着崑曲牌子、秦腔梆子、徽劇二黃、宋明南戲和元雜劇的劇目,堪稱中國戲曲的縮影。本講座概述當代香港粵劇的傳承狀況和中國戲曲的歷史面貌,從中探討粵劇如何保留和發展傳統戲曲的元素。講座將論及粵劇神功戲的演出、《祭白虎》儀式、戲班結構、行當、劇目題材、唱腔特點和傳承。
日期:2022年2月16日
講者:陳守仁教授
主辦:香港孔子學院, 中國文化學系
- Subjects:
- Chinese Studies, Hong Kong Studies, and Performing Arts
- Keywords:
- Operas Chinese Theater China China -- Hong Kong
- Resource Type:
- Video
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Video
作為宋遼夏金時期的一個王朝,西夏歷史文化有突出的特色,同時與中原文化有著內在的、緊密的聯繫。西夏參照漢字創制了民族文字西夏文,形成了很多文獻;吸納儒學,尊孔子為文宣帝;提倡漢學,實行科舉,培養人才;借鑒中原王朝法律,編纂法典,保存了最早的少數民族文字《律令》,豐富中華法系;接受中原社會習俗,存留下大批珍貴社會文書;弘揚中原印刷術,發明木活字印刷,有最早的活字印刷實物;尊崇佛教,翻譯中原大藏經,出土了數千卷佛經。西夏同時也吸收了臨近吐蕃、回鶻等民族的文化。西夏文化是中華民族優秀傳統文化的有機組成部分,對中華民族文化做出了重要貢獻。
日期:2022年3月11日
講者:史金波教授
主辦:香港孔子學院, 中國文化學系
- Subjects:
- Chinese Studies
- Keywords:
- Civilization Xi Xia Dynasty (China) History China
- Resource Type:
- Video
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Video
本演講的出發點是《西廂記》在法國的傳播與接受,從儒蓮、巴贊的戲曲翻譯談起,說明《西廂記》故事如何被十九世紀的歐陸漢學家理解,進而創發出風貌各異的紅娘、鶯鶯與張生等角色類型。本演講也將觸及晚清民初在法國的外交官、留學生,說明他們如何譯介或改編《西廂記》,並與法國文學界激盪出不同模式的文化交流。由此延伸出的議題是熊式一、夏志清等身處英美國家的華人學者,淺析他們如何將《西廂記》置放於知識傳播的脈絡下,讓《西廂記》在二十世紀成為西方讀者認識中國戲曲的重要媒介之一。
日期:2022年3月17日
講者:羅仕龍博士
主辦:香港孔子學院、中國文化學系
- Subjects:
- Chinese Literature
- Keywords:
- Criticism interpretation etc. Chinese fiction
- Resource Type:
- Video
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Video
清末民初由文言到白話的文學語言轉型,對中國女性的“發聲”產生了深遠的影響。本次講座將從晚清白話報的白話書寫、女子教科書的流變、性別觀念的生成三個方面展開,結合不同歷史階段的女子教育和社會風俗,考察詞彙、語法和作文觀念的變遷如何改變了女性表達和國人的性別認知。
日期:2022年4月6日
講者:曹曉華博士
主辦:香港孔子學院、中國文化學系
- Subjects:
- Chinese Literature and Chinese Studies
- Keywords:
- China Women in literature Feminism Women -- Social conditions
- Resource Type:
- Video
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Video
有關《穆天子傳》周穆王西行地理的研究多矣,然自古未有定論。本研究以顧頡剛的實據地理與神話地理二重結構為理論框架,結合傳世文獻、出土資料與地理實查資料,重探《穆傳》的地理空間。針對有實據之部的地理,本研究強調以當代資料作為地理重構的依據,並發現其主要以戰國早期的晉南及其鄰近地區為核心。針對神話空間,則著重分析其「理性化」的創作思維及其反映的歷史地理脈絡,包含其領土型態、中國觀、世界觀以及交通地理背景。基於上述的歷史地理重構與分析,本研究進一步探討《穆傳》的體裁、國家主體、成書年代、資料依據、作者與讀者以及文本性質,期許對於這部高度爭議的奇書帶來新的認識。
日期:2022年4月8日
講者:雷晉豪博士
主辦:香港孔子學院、中國文化學系
- Subjects:
- Chinese Studies
- Keywords:
- Zhou Dynasty (China) Zhou Muwang Emperor of China active 11th century B.C.-10th century B.C.
- Resource Type:
- Video