
姓 名:王雷
职称职务:教授、硕导、博导
所在院系:数理学院
研究方向:
以问题导向与工程应用为驱动的应用数学与人工智能领域研究——
(1) 应用数学(学硕):非线性偏微分方程的理论、计算、分析及应用,基于理论分析、数学解析、数值模拟、物理分析、机器学习等方法。
(2) 应用统计(专硕):结合能动学院科研项目进行,面向能源电力领域的工程热物理应用,包括AI与不确定性量化,AI在多相流中应用。
(3) 系统分析、运筹与控制(学博):①非线性偏微分方程的理论、分析、计算及应用;②基于数据驱动的偏微方程机器学习方法(AI4PDE)。研究背景面向非线性偏微分方程如可积系统的理论分析、解析分析、物理分析、智能计算等,学博主要基于理论课题开展相关研究工作和学位论文。
(4) 大数据技术与工程(专博):①智能流体力学方向如基于机器学习方法的多相流研究(AI4CFD);②基于机器学习方法的不确定性量化及应用(AI4UQ)。基于数据驱动的人工智能方法在能源电力领域的计算和应用,如能源电力领域先进热管理、能源动力系统数字孪生技术等,专博基于技术方法且须结合科技项目或工程应用项目开展研究工作和学位论文。
联系方式:LW_MATH2157@126.COM
个人简介:本科毕业于哈工大数学系计算数学专业,硕士毕业于哈尔滨工业大学深圳研究生院应用数学专业,博士毕业于北航流体力学专业,英国爱丁堡大学数学系访问学者,2011年7月起在华北电力大学数理学院工作。主持了国家自然科学基金等项目十余项。在非线性偏微分方程(可积系统)与人工智能交叉应用领域国内外重要学术刊物如Nonlinearity, Journal of Nonlinear Science, Studies in Applied Mathematics, Physical Review E, Physical Review A, Physica D, Proceedings A, Annals of Physics, Physics of Plasmas, Physics of Fluids, EPL等发表SCI收录论文100余篇,他引2000余次,担任六十余个国际学术期刊的评审人,国家自然科学基金评议专家,北京市自然科学基金重点项目评议专家,全国专业学位水平评估专家,教育部学位中心学位论文评审专家。
科研项目:
[1] 国家自然科学基金数学天元基金
[2] 国家自然科学基金科学部主任基金
[3] 国家自然科学基金青年科学基
[4] 国家自然科学基金面上项目
[5] 国家自然科学基金面上项目
[6] JG项目
[7] JG项目
[8] 博士后基金面上项目
[9] 博士后基金特别资助项目
代表论文:
(1) Liu-Yi Pan, Lei Wang(*), et al., Non-degenerate localized waves beyond Manakov system and their new perspectives, Nonlinearity, 37 (2024) 105016
(2) Liu-Yi Pan, Lei Wang(*), et al., Superregular breathers induced by the higher-order effects in the coupled Hirota equations, Physical Review A, 110, 023523 (2024)
(3) Xiao-Dan Zhao, Lei Wang(*), The coupled Hirota equations with a Lax pair: Painlevé-type asymptotics in transition zone, Studies in Applied Mathematics, e12745 (2024)
(4) Xiao-Dan Zhao, Lei Wang(*), A Two-component Sasa-Satsuma Equation: Large-Time Asymptotics on The Line, Journal of Nonlinear Science, 34, 38 (2024)
(5) Hai-Yi Liu, Lei Wang(*), et al., Prediction of phase transition and time-varying dynamics of the (2+1)-dimensional Boussinesq equation by the parameter- integrated physics-informed neural networks with phase domain decomposition, Physical Review E, 108: 045303 (2023)
(6) Meng-Meng Liu, Wen-Rong Sun(*), Lei Liu, P. G. Kevrekidis, and Lei Wang, Periodic traveling waves in the ϕ4 model: Instability, stability and localized structures, Physical Review E, 107: 034210 (2023)
(7) Shuo Zhou, Lei Wang(*), Jun-Fei Zhao, Nonlinear wave molecules for the Lakshmanan-Porsezian-Daniel equation in nonlinear optics and biology, Ann. Phys. (Berlin) 354: 2100545 (2022)
(8) Hao-Tian Luo, Lei Wang(*), et al., Data-driven solutions and parameter discovery of the Sasa-Satsuma equation via the physics-informed neural networks method, Physica D, 440: 133489 (2022)
(9) Xin Wang(*), Lei Wang, et al., Rogue waves in the three-level defocusing coupled Maxwell-Bloch equations, Proceedings of the Royal Society A, 477: 20210585 (2022)
(10) Han-Song Zhang, Lei Wang(*), Wen-Rong Sun, Xin Wang, Tao Xu, Mechanisms of stationary converted waves and their complexes in the multi-component AB system, Physica D, 419: 132849 (2021)
(11) Xue Zhang, Lei Wang(*), Chong Liu, et al., High-dimensional nonlinear wave transitions and their mechanisms, Chaos, 30: 113107 (2020)
(12) Wen-Rong Sun(*), Lei Wang, Matter rogue waves for the three-component Gross-Pitaevskii equations in the spinor Bose-Einstein condensate, Proceedings of the Royal Society A, 474: 20170276 (2018)
(13) Jian-Hui Zhang, Lei Wang(*), Chong Liu(*), Superregular Breathers, Characteristics of Nonlinear Stage of Modulation Instability Induced by Higher-order Effects, Proceedings of the Royal Society A, 473: 20160681 (2017)
(14) Xin Wang(*), Chong Liu, Lei Wang, Rogue waves and W-shaped solitons in the multiple self-induced transparency system, Chaos, 27, 093106 (2017)
(15) Lei Wang(*), Jian-Hui Zhang, Zi-Qi Wang, Chong Liu, et al., Breather-to- soliton transitions, nonlinear wave interactions, and modulational instability in a higher-order generalized nonlinear Schrödinger equation, Physical Review E, 93: 012214 (2016)
(16) Lei Wang(*), Jian-Hui Zhang, Chong Liu, et al., Breather transition dynamics, Peregrine combs and walls, and modulation instability in a variable- coefficient nonlinear Schrödinger equation with higher-order effects, Physical Review E, 93: 062217 (2016)
(17) Lei Wang(*), Yu-Jie Zhu, et al., Modulational instability, higher-order localized wave structures, and nonlinear wave interactions for a nonautonomous Lenells-Fokas equation in inhomogeneous fibers, Chaos, 25: 063111 (2015)
(18) Lei Wang(*), Xiao Li, et al., Breather interactions and higher-order nonautonomous rogue waves for the inhomogeneous nonlinear Schrödinger Maxwell-Bloch equations, Annals of Physics, 359: 97 (2015)
教学情况:
Ø复变函数与积分变换,深度学习,深度学习综合实践。
Ø北京高等教育本科教学改革创新项目,负责人。
Ø北京市优质本科课程,负责人。