Nonlinear dispersive waves, numerical analysis, partial differential equations, numerical analysis, perturbation theory, computational fluid mechanics
背景介绍
I have a diverse background in mathematics, applied mathematics, and mechanical engineering, with a strong emphasis on the analysis of partial differential equations (PDEs), numerical methods, and their applications in engineering and physical phenomena. My experience spans both theoretical and applied research, involving advanced topics in PDEs, water wave modeling, special functions, and perturbation methods.
研究领域
Nonlinear dispersive waves, numerical analysis, partial differential equations, numerical analysis, perturbation theory, computational fluid mechanics
教育背景
1987-1991：博士 （主修 应用数学）Indiana 大学数学系
1985-1987：硕士 （主修：流体力学）Princeton 大学航空航天系
1982-1985：硕士 （主修：计算数学）北京大学数学系
1978-1982：学士 （主修：计算数学）北京大学数学系
工作经历
2025-至今：宁波东方理工大学，教授
2002-2024：Purdue 大学数学系，副教授，教授
2001-2002：University of Central Florida 数学系, 副教授
1991-2001：宾夕法尼亚州立大学数学系，博士后，助理教授
学术兼职（部分）
Purdue University senator from 2020 to 2024
获奖情况及荣誉
Recipient of the Simon research collaboration Award (2011-2018)
Google scholar citations 2420 as Dec. 4, 2024
https://scholar.google.com/citations?user=kGyVfWUAAAAJ&hl=en
Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media. I: Derivation and linear theory
Bona, Chen, Saut Journal of Nonlinear Science 12, 283-318, 2002,
Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media: II. The nonlinear theory
JL Bona, M Chen, JC Saut Nonlinearity 17 (3), 925
A Boussinesq system for two-way propagation of nonlinear dispersive waves
JL Bona, M Chen
Physica D: Nonlinear Phenomena 116 (1-2), 191-224
Incremental unknowns for solving partial differential equations
M Chen, R Temam
Numerische Mathematik 59, 255-271
Exact traveling-wave solutions to bidirectional wave equations
M Chen
International Journal of Theoretical Physics 37 (5), 1547-1567
