报告题目：Animal Shapes, Modal Analysis, and the Visualization of Motion

报告时间：2023/06/19 10:00-

报告地点：格物楼307报告厅

报告摘要：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：陈巩教授，1977年获得University of Wisconsin at Madison数学博士学位。现任Texas A&M University in College Station大学数学与航天工程系教授和量子研究院成员。其研究方向主要包括：偏微分方程控制理论，偏微分方程的数值解和边界元法，工程力学，混沌动力学，量子计算，化学物理和量子力学等。发表学术论文170余篇，出版学术专著7本。现任国际数学期刊JMAA主编，曾任Chapman & Hall/CRC 出版社应用数学与非线性科学丛书主编（2002-2011），还担任过多个国际学术期刊的编委，包括SIAM Journal on Control and Optimization；International Journal of Quantum Information；Physica Scripta和Electronic Journal of Differential Equations等。