个人信息:
姓名:鹿彭
性别:男
出生年月:1995年6月
籍贯:黑龙江省
电子邮箱:plu25@zstu.edu.cn
电话:15221769897
学习与工作经历:
复旦大学,2013.9--2017.6,数学与应用数学,理学学士
复旦大学,2017.9--2022.6,应用数学,理学博士
上海交通大学,2022.7--2024.12,博士后
浙江理工大学,2025.1至今,讲师
研究方向:流体力学中的偏微分方程
已接收和发表的论文:
Guo, Xiangxiang; Du, Yi and Lu, Peng. The regularity criteria on the magnetic field to the 3D incompressible MHD equations, Commun. Math. Sci. 17 (2019), no. 8, 2257–2280.
Lu Peng and Zhou Yi. Global existence of ideal invicid compressible and heat conductive fluids with radial symmetry, J. Math. Phys 63 (2022), no. 3, Paper No. 031506.
Li Yachun; Lu Peng* and Zhao Liang. Global-in-time error estimates of non-relativistic limits for Euler-Maxwell system near non-constant equilibrium, Nonlinear Anal. Real World Appl. 80 (2024), Paper No. 104163.
已完成的论文:
Cui Yan; Lu Peng and Zhou Yi. Null controllability of damped nonlinear wave equation, arXiv:2211.15449, submitted.
Li Yachun; Lu Peng and Shang Zhaoyang. Global Solutions to the Cauchy Problem of Three-dimensional Isentropic Magnetohydrodynamics Equations with Large Initial Density, arXiv:2408.04995, submitted.
Li Yachun; Lu Peng; Shang Zhaoyang and Yu Shaojun. Global Existence and Asymptotic Behavior of Large Strong Solutions to the 3D Full Compressible Navier-Stokes Equations with Density-dependent Viscosities, arXiv:2408.05138, preprint.
Lu Peng and Yu Shaojun. Local existence of classical solutions to the 3D isentropic compressible Navier-Stokes-Poisson equations with degenerate viscosities and vacuum, arXiv:2407.15897, submitted.
学术报告:
On the null controllability of damped nonlinear wave equation.
The 19th International Conference on ``Hyperbolic Problems: Theory, Numerics and Applications".
July 1--5, 2024.
Global existence of large solutions for 3D compressible Navier-Stokes and MHD equations with density-dependent viscosities.
22nd Annual Meeting of China Society for Industrial and Applied Mathematics.
October 24--27, 2024.