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【3月4日--7月8日】应用数学学术论坛

信息来源:统数院  作者:统数院  发布时间:2016-03-10

主    题:偏微分方程和孤子波理论
主讲人:陈龙伟 教授
时    间:2016年3月4日-7月8日,每周星期五下午15:00-17:00
地    点:北院卓远楼307
主办单位:统计与数学学院
摘要:
Usually, the mathematical modeling of important phenomena arising in physics and biology often leads to integrable nonlinear wave equations, which their travelling systems are ordinary differential equations. The studies of solitons and complete integrability of nonlinear wave equations and bifurcations, chaos of dynamical systems are two very active fields in nonlinear science, and they play a pivotal role in the qualitative study of traveling wave solutions. Our goal is to give a more systematic account for the bifurcation theory method of dynamical systems to find exact travelling wave solutions and their dynamics with an emphasis on the understanding of some “new wave”: soliton solutions, multi-soliton solutions, non-smooth peaked solitary solutions (peakon), cuspon, and compacton et al. .

陈龙伟简介:
北京理工大学工程力学博士,教授。研究领域为偏微分方程数值解、精确解、常微分方程动力系统理论以及数学建模等。在中国科学、计算力学学报、Applied Mathematics and Computation、Nonlinear Analysis and Differential Equations、Mathematical Problems in Engineering、Journal of Advances in Applied Mathematics等国内外期刊发表论文多篇。