报告题目：Animal Motions and Their Fourier Decomposition

报告人：Prof. Goong Chen（Texas A&M University）

报告地点：数理楼135教室

报告时间：2023年6月20日下午16:00-17：30

摘要：Various animals, such as the horse, camel, giraffe, duck, goose, eagle, and the T-Rex dinosaur, have different shapes. How do we correlate their shapes to their motion patterns? This is the main topic of this talk.

We will use the linear elastodynamic equation to model the vibratory motion of these animals. The proper Hilbert functional space setting will be formulated. Corresponding to the force-free boundary condition, we prove the laws of conservation of energy, momentum and angular momentum.

For the linear elastodynamic operator, we perform eigenfunction analysis to study the basic motion types of these animals. Their fundamental dynamic modes of motion will be illustrated by videos. Full-body simulations of a horse in motion will also be simulated to compare with the Fourier analysis of eigenmodes.

报告人简介：Goong Chen was born in Kaohsiung, Taiwan in 1950. He received his BSc (Math) from the National Tsing Hua University in Hsinchu, Taiwan in 1972 and PhD (Math) from the University of Wisconsin at Madison in 1977. He has taught at the Southern Illinois University at Carbondale (1977–78), and the Pennsylvania State University at University Park (1978–1987). Since 1987, he has been Professor of Mathematics and Aerospace Engineering, and (since 2000) a member of the Institute for Quantum Studies, at Texas A&M University in College Station, Texas. He has also held visiting positions at INRIA in Rocquencourt, France, Centre de Recherche Mathematiques of the Universite de Montreal, the Technical University of Denmark in Lyngby, Denmark, the National University of Singapore, and National Tsing Hua University in Hsinchu, Taiwan.

He has research interests in many areas of applied and computational mathematics: control theory for partial differential equations (PDEs),

boundary element methods and numerical solutions of PDEs, engineering

mechanics, chaotic dynamics, quantum computation, chemical physics and quantum mechanics. He has written over one hundred seventy papers, seven advanced texts/monographs, and co-edited four books. He is Editor-in-Chief of the Journal of Mathematical Analysis and Applications, and has served as the Editor-in-Chief of the Chapman & Hall/CRC Press Applied Mathematics and Nonlinear Science Series (2002-2011), and as Associate Editor for several other editorial boards, including the SIAM Journal on Control and Optimization, the International Journal on Quantum Information, Physica Scripta, and the Electronic Journal of Differential Equations. He is also a co-holder of a U.S. Patent on certain quantum circuit design for quantum computing. He has graduated a total of 21 PhD students.