20190530 數學系專題演講洪盟凱教授 - MyTube@NCKU

20190530 數學系專題演講洪盟凱教授 (01:01:59)

影片只限於成功大學網域觀看

影片標題:	20190530 數學系專題演講洪盟凱教授
影片說明:	Composite Hyperbolic Waves in Hyperbolic Resonant Systems of Balance Laws 演講公告：https://tinyurl.com/y5xcdnso 演講摘要： The global in time existence and behavior of composite hyperbolic waves to the resonant hyperbolic systems of balance laws are studied. The resonant hyperbolic systems we study have the property that all the eigenvalues of Jacobian matrix of the flux are coincided in the whole phase domain. We give an example of a weak solution with vacuum for the classical Riemann problem of some entirely resonant system to indicate that the self-similar Riemann solution is not an appropriate building block of Glimm scheme to Cauchy problem of such systems. Instead, we invent a regularized Riemann problem with perturbed Riemann data. The weak solutions of such Riemann problem consists of constant states separated by the composite hyperbolic waves, which are the combination of nonlinear hyperbolic waves and contact discontinuities. Such composite waves have finite total variations so that the generalized Glimm scheme can be applied to establish the global existence of weak solutions for the entirely resonant systems. The results indicate that the resonance provides a mechanism of amplifying the effect of singularity of Riemann data. It means that the generalized Riemann solutions with composite hyperbolic waves can be a more appropriate building block of generalized Glimm scheme for hyperbolic resonant system. This is a joint work with Hsin-Yi Lee (NCU), Jia-Chieh Chu (NTHU) and Shi-Wei Chou (Soochow University). 成大數學演講公告連結：https://tinyurl.com/ybjxmujm
影片分類:	研討會議/教育訓練
演講者:	洪盟凱教授（中央大學數學系）
活動時間:	2019-05-30
主辦單位:	數學系
上傳時間:	2019-06-04 14:19:04
上傳者:	陳旻宏
觀看次數:	6

嵌入網址

您可以將影片嵌入到自己的網站播放，更改 width, height 的數值以符合您網站的需要

自動調整大小的嵌入網址

您可以將影片嵌入到自己的網站播放，更改 width, height 的數值以符合您網站的需要

下載此影片

相關影片

1101130-【實機練習】智慧時代新生活 _ 用隱私換來的代價-上半場.mp4

1101130-【實機練習】智慧時代新生活 _ 用隱私換來... 觀看(33)

2014 臺灣綜合大學新進教師專業知能研討會－分組論壇：教學與輔導經驗談(農、生科、海洋科學、醫組)

2014 臺灣綜合大學新進教師專業知能研討會－分組論... 觀看(4228)

[講座] 提升研究的可再現性：近期的工具與政策發展動態

[講座] 提升研究的可再現性：近期的工具與政策發展... 觀看(562)

1101201_【實機練習】智慧時代新生活 _ 行動裝置的金融安全_下半場.mp4

1101201_【實機練習】智慧時代新生活 _ 行動裝置的... 觀看(10)

實證醫學－最佳證據搜尋術觀看(6106)

實驗室內的學倫問題(黃一修)-後半

實驗室內的學倫問題(黃一修)-後半觀看(86)

【20200317-SOC電資座談會】活動花絮

【20200317-SOC電資座談會】活動花絮觀看(1934)

教師如何引發學生的學習動機觀看(2601)

海洋生物的美與科技觀看(3134)

女性永續發展科學週 - Nancy Lewis

女性永續發展科學週 - Nancy Lewis 觀看(1766)