靳鲲鹏,博士(博士后),副教授。
邮箱:kunpengjin@126.com
研究领域
偏微分方程理论及应用,控制理论与非线性分析,应用泛函分析与微分方程。
科研方面:近年来在国内外期刊上发表论文三十余篇,其中SCI论文 17篇(中科院大类一区、二区以上10篇),并且有多篇论文发表在本领域著名高水平SCI期刊(TOP期刊)Journal of Differential Equations、Communications in Nonlinear Science and Numerical Simulation、Advances in nonlinear analysis 上。另外,近年来已应邀在英国牛津大学等多所国内外高校以及多个国际学术会议作邀请学术报告;并且主持和参与多项中国博士后科学基金、国家自然基金、教委科研专项基金等。
教育经历
² 2011– 2014 复旦大学数学科学学院 应用数学 博士
² 2005 - 2008 复旦大学数学科学学院 应用数学 硕士
² 1997– 2001 郑州大学数学系 应用数学 学士
工作经历
² 2022– 至今 南宁师范大学 教师
² 2020– 2021 重庆邮电大学 教师
² 2016– 2019 上海交通大学数学科学学院 博士后(专职科研)
² 2008– 2015 上海电机学院数理教学部 教 师
² 2001– 2005 安徽蚌埠汽车管理学院基础部 教 师
主持(参与)基金项目
² 2023.01-2025.12 “非线性粘弹性发展方程解的渐近性态研究”,广西自然科学基金面上项目
² 2022.07- 2024.12 “粘弹性Timoshenko系统的渐近行为及最优衰减率”, 广西人机交互与智能决策重点实验室开放课题
² 2018.06- 2019.10 “Hilbert空间中的阻尼发展系统的适定性及稳定性等研究”,中国博士后科学基金面上资助,中国博士后科学基金会
² 2009.01-2010.12 “不可压缩流体方程的结构与解的长期存在性研究”,上海高校选拔培养优秀青年教师科研专项基金,上海市教委
² 2020.01-2023.12 “Banach空间中非线性积微分系统的一些问题”,国家自然科学基金面上项目
² 2014.01-2017.12 “抽象空间中若干非线性发展方程的性态分析”,国家自然科学基金面上项目
² 2013.01-2016.12 “非线性双曲型方程中的一些控制问题”,国家自然科学基金面上项目
² 2007.01-2009.12 “三维不可压缩欧拉方程解的几何分析”,国家自然科学基金青年项目
已发表论文
1) K.P. Jin and L. Wang, Uniform decay estimates for the semi-linear wave equation with locally distributed mixed-type damping via arbitrary local viscoelastic versus frictional dissipative effects, Advances in Nonlinear Analysis, 12 (2023) 20220285.(SCI一区,TOP期刊)
2) K.P. Jin and C. Li, Uniform stabilization for a string/point mass system via arbitrary local memory effects versus frictional damping, Evolution Equations and Control Theory, 12(3) (2023) 969-990. (SCI)
3) K.P. Jin, J. Liang and T.J. Xiao, Dynamical behavior of the indirectly and locally memory-damped Timoshenko system, Communications in Nonlinear Science and Numerical Simulation, 113 (2022) 106577.(SCI一区,TOP期刊)
4) K.P. Jin, Stability for locally coupled wave-type systems with indirect mixed-type dampings, Applied Mathematics and Optimization, 85(2022)11. (SCI二区)
5) K.P. Jin, Indirect stabilization of coupled abstract evolution equations with memory: different propagation speeds, Mathematical Methods in the Applied Sciences,45(2022)4451-4467. (SCI 二区)
6) C. Li, K.P. Jin(通讯作者), General decay results for viscoelastic systems with memory and time-varying delay, Mathematical Methods in the Applied Sciences, 45(2022) 4397-4407. (SCI 二区)
7) K.P. Jin, J. Liang and T.J. Xiao, New general decay result for a class of neutral viscoelastic equations, Journal of Mathematical Analysis and Applications, 506(2) (2022) 125673. (SCI)
8) K.P. Jin, J. Liang and T.J. Xiao, Asymptotic Stability of Energy for a Weak Viscoelastic Plate Equation with Complementary Frictional Damping, Applied Mathematics and Optimization, 84 (2021) 3025-3044. (SCI二区)
9) C. Li, K.P. Jin, Asymptotics for 2-D wave equations withWentzell boundary conditions in the square, Mathematical Methods in the Applied Sciences, 44 (2021) 265-273. (SCI 二区)
10) K.P. Jin, Indirect stabilization of Timoshenko systems with one local memory damping, Differential and Integral Equations, 34(7-8) (2021) 401-424. (SCI)
11) K.P. Jin, J. Liang and T.J. Xiao, Uniform polynomial stability of second order integro-differential equations in Hilbert spaces with positive definite kernels, Discrete and Continuous Dynamical Systems Series S, 14(9) (2021) 3141-3166. (SCI)
12) K.P. Jin, J. Liang and T.J. Xiao, Stability of initial-boundary value problem for quasilinear viscoelastic equations, Electronic Journal of Differential Equations, Vol. 2020(85) (2020) 1-15. (SCI)
13) K.P. Jin, J. Liang and T.J. Xiao, Global existence of solutions to some semilinear integro-differential evolution equations with sign-varying kernels, Nonautonomous Dynamical Systems, 7(1) (2020) 65-71.
14) K.P. Jin, J. Liang and T.J. Xiao, Asymptotic behavior for coupled systems of second order abstract evolution equations with one infinite memory, Journal of Mathematical Analysis and Applications, 475(1) (2019) 554-575. (SCI)
15) K.P. Jin, J. Liang and T.J. Xiao, Uniform stability of semilinear wave equations with arbitrary local memory effects versus frictional dampings, Journal of Differential Equations, 266(11) (2019) 7230-7263.(SCI二区,TOP期刊)
16) K.P. Jin, T.J. Xiao and H.K. Xu, Darboux transformations for two classes of incompressible fluid equations, Journal of Nonlinear and Convex Analysis, 15(5) (2014) 929-939. (SCI)
17) K.P. Jin, Stability of a class of coupled equations, Abstract and Applied Analysis, (2014) 835765. (SCI 二区)
18) K.P. Jin, J. Liang and T.J. Xiao, Coupled second order evolution equations with fading memory: optimal energy decay rate, Journal of Differential Equations, 257(5) (2014)1501-1528. (SCI二区,TOP期刊)
19) 靳鲲鹏, 二维 Quasi-Geostrophic 方程的几何约束与非爆炸性, 数学的实践与认识, 42(14) (2012) 251-258.
20) 靳鲲鹏,刘三明,三维 Euler 方程的几何性质与非爆炸性的研究,烟台大学学报(自然科学与工程版),24(3) (2011) 187-190.
21) 靳鲲鹏,刘三明,Euler方程与Navier-Stokes方程解的全局存在性研究,湘潭大学自然科学学报,32(4)(2010)24-27.
22) 靳鲲鹏, 二维 Quasi-Geostrophic 方程新的LAX对及其Darboux变换,兰州大学学报(自然科学版), 46 (2010) 166-168.
23) K.P. Jin, Geometric structure and non-blowup of 2D Quasi-Geostrophic equations, Journal of Fudan University (Natural Science), 48(2) (2009) 224-230.