靳鯤鵬,博士(博士后),副教授。
郵箱:kunpengjin@126.com
研究領(lǐng)域
偏微分方程理論及應(yīng)用,控制理論與非線性分析,應(yīng)用泛函分析與微分方程。
科研方面:近年來在國內(nèi)外期刊上發(fā)表論文三十余篇,其中SCI論文 17篇(中科院大類一區(qū)、二區(qū)以上10篇),并且有多篇論文發(fā)表在本領(lǐng)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,近年來已應(yīng)邀在英國牛津大學(xué)等多所國內(nèi)外高校以及多個國際學(xué)術(shù)會議作邀請學(xué)術(shù)報告;并且主持和參與多項中國博士后科學(xué)基金、國家自然基金、教委科研專項基金等。
教育經(jīng)歷
2 2011– 2014 復(fù)旦大學(xué)數(shù)學(xué)科學(xué)學(xué)院 應(yīng)用數(shù)學(xué) 博士
2 2005 - 2008 復(fù)旦大學(xué)數(shù)學(xué)科學(xué)學(xué)院 應(yīng)用數(shù)學(xué) 碩士
2 1997– 2001 鄭州大學(xué)數(shù)學(xué)系 應(yīng)用數(shù)學(xué) 學(xué)士
工作經(jīng)歷
2 2022– 至今 南寧師范大學(xué) 教師
2 2020– 2021 重慶郵電大學(xué) 教師
2 2016– 2019 上海交通大學(xué)數(shù)學(xué)科學(xué)學(xué)院 博士后(專職科研)
2 2008– 2015 上海電機學(xué)院數(shù)理教學(xué)部 教 師
2 2001– 2005 安徽蚌埠汽車管理學(xué)院基礎(chǔ)部 教 師
主持(參與)基金項目
2 2023.01-2025.12 “非線性粘彈性發(fā)展方程解的漸近性態(tài)研究”,廣西自然科學(xué)基金面上項目
2 2022.07- 2024.12 “粘彈性Timoshenko系統(tǒng)的漸近行為及最優(yōu)衰減率”, 廣西人機交互與智能決策重點實驗室開放課題
2 2018.06- 2019.10 “Hilbert空間中的阻尼發(fā)展系統(tǒng)的適定性及穩(wěn)定性等研究”,中國博士后科學(xué)基金面上資助,中國博士后科學(xué)基金會
2 2009.01-2010.12 “不可壓縮流體方程的結(jié)構(gòu)與解的長期存在性研究”,上海高校選拔培養(yǎng)優(yōu)秀青年教師科研專項基金,上海市教委
2 2020.01-2023.12 “Banach空間中非線性積微分系統(tǒng)的一些問題”,國家自然科學(xué)基金面上項目
2 2014.01-2017.12 “抽象空間中若干非線性發(fā)展方程的性態(tài)分析”,國家自然科學(xué)基金面上項目
2 2013.01-2016.12 “非線性雙曲型方程中的一些控制問題”,國家自然科學(xué)基金面上項目
2 2007.01-2009.12 “三維不可壓縮歐拉方程解的幾何分析”,國家自然科學(xué)基金青年項目
已發(fā)表論文
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一區(qū),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一區(qū),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二區(qū))
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 二區(qū))
6) C. Li, K.P. Jin(通訊作者), General decay results for viscoelastic systems with memory and time-varying delay, Mathematical Methods in the Applied Sciences, 45(2022) 4397-4407. (SCI 二區(qū))
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二區(qū))
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 二區(qū))
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二區(qū),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 二區(qū))
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二區(qū),TOP期刊)
19) 靳鯤鵬, 二維 Quasi-Geostrophic 方程的幾何約束與非爆炸性, 數(shù)學(xué)的實踐與認識, 42(14) (2012) 251-258.
20) 靳鯤鵬,劉三明,三維 Euler 方程的幾何性質(zhì)與非爆炸性的研究,煙臺大學(xué)學(xué)報(自然科學(xué)與工程版),24(3) (2011) 187-190.
21) 靳鯤鵬,劉三明,Euler方程與Navier-Stokes方程解的全局存在性研究,湘潭大學(xué)自然科學(xué)學(xué)報,32(4)(2010)24-27.
22) 靳鯤鵬, 二維 Quasi-Geostrophic 方程新的LAX對及其Darboux變換,蘭州大學(xué)學(xué)報(自然科學(xué)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.