关于举行赵昆教授(杜兰大学) 学术报告会的通知

报告题目：Controlled Dynamics and Wave Phenomena of Dissipative Boussinesq Equations

报 告人：赵昆教授(杜兰大学)

报告时间：2023年5月24日(星期三)下午4:30-5:30

报告地点：四号楼4318

邀 请人：金海洋教授

欢迎广大师生前往！

数学学院

2023年5 月 23日

报告摘要：The one-dimensional dissipative Boussinesq equations (DBE) can describe the propagation of weak tidal bores on the surface of a horizontally isotropic fluid. In this presentation, we will introduce rigorous mathematical results concerning controlled dynamics by dynamic boundary conditions, and existence/stability of traveling waves of the model. Global stability of large data solutions subject to time-dependent boundary conditions is achieved via entropy and energy methods. Existence of traveling waves is obtained by means of phase plane analysis and geometric singular perturbation. Local stability of traveling waves with arbitrary strengths is proven by spatially weighted energy methods. Numerical results on the  DBE and rigorous results on a related model from chemotaxis will also be discussed. This talk is based on recent joint works with Ying Bi, Ricardo Cortez, Zefu Feng, Rosa Fuster-Aguilera, Vincent Martinez, Zhian Wang, Anita Yang, and Neng Zhu.

报告人简介：赵昆，美国杜兰大学数学系教授，中国科学技术大学本科，美国乔治亚理工学院博士，美国俄亥俄州立大学生物研究所博士后，曾任美国爱荷华大学数学系访问助理教授。从事生物数学、流体力学、数学物理领域中非线性偏微分方程的理论分析研究。在Arch. Ration . Mech. Anal., Indiana Univ.Math.,J.,  SIAM J.Math.Anal.,  Math. Models Methods Appl. Sci.、Physical D、J. Differential Equations., J. Geom. Mech.、J. Math. Biol.、European J. Appl. Math.、Nonlinearlity等国际知名期刊上发表SCI论文60余篇。现担任杂志《Annals of Applied Mathematics》编委，主持完成多项美国自然科学基金项目。