李鋒傑(中國石油大學（華東） 理學院副教授)

李鋒傑，中國石油大學(華東) 理學院副教授，博士，基礎數學系碩導。

基本介紹

• 中文名：李鋒傑
• 畢業院校：大連理工大學
• 學位/學歷：博士
• 職業：教師

教育經歷

(1) 1995年－1999年，煙臺師範學院數學與計算機科學系，數學教育，本科/理學學士；

(2) 1999年－2002年，廣西師範大學數學與計算機科學學院，基礎數學，研究生/理學碩士；

(3) 2002年－2006年，大連理工大學套用數學系，計算數學，研究生/理學博士。

職稱經歷

(1) 2006年－2009年，中國石油大學（華東）講師；

(2) 2009年－，中國石油大學（華東）副教授；

(3) 2012年－，中國石油大學（華東）碩士生導師；

(4) 2015年－2016年，University of Notre Dame, Guest Associate Professor（國家公派）；

(5) 2015年－，Mathematical Reviews/MathSciNet Reviewer；

(6) 2016年－，教育部學位中心學位論文通訊評議專家；

社會兼職

(1) Mathematical Reviews / MathSciNet Reviewer。

(2) 教育部學位中心學位論文通訊評議專家。

(3) Discrete & Continuous Dynamical Systems-Series B、Nonlinear Analysis、Journal of Mathematical Analysis and Application、Journal of Differential Equations、Applied Mathematics Letters、Mathematical and Computer Modelling、Computers & Mathematics with Applications、Applied Mathematics and computation、Discrete & Continuous Dynamical Systems－Series B、Applicable Analysis、AIMS Math等多個SCI雜誌審稿人。

教學工作

任教以來，先後主講本科生《數學分析》、《常微分方程》、《高等數學》、《線性代數》、《線性代數與解析幾何》，研究生《反應擴散方程》、《線性偏微分方程理論》、《非線性常微分方程泛函方法》、《變指數索伯列夫空間理論》等課程。校級精品課《數學分析》、《線性代數》主講教師。作為骨幹參與山東省高等學校線上開放課程《線性代數》建設。作為骨幹參與校級研究生教育教學研究項目全英文課《線性偏微分方程理論》建設和校級教改項目“思政融合的《線性代數》線上線下混合式教學模式改革與實踐”建設。參加重點課《線性代數》、《高等數學》建設。

學術研究

承擔的科研和教改項目

i. 主持國家自然科學基金項目《拋物型方程組的不同時奇性解及其弱延拓》；

ii. 主持山東省自然科學基金項目《具非標準增長條件的（高階）拋物型方程解的定性研究及套用》；

iii. 主持山東省自然科學基金項目《具各向異性指數的拋物方程解的奇性傳播規律研究》；

iv. 主持山東省自然科學基金項目《非線性拋物型方程組解的blow-up分類及blow-up後性質研究》；

v. 主持學校自主創新項目《非線性拋物型方程組解的完全和不完全爆破》；

vi. 參加山東省自然科學基金項目《基於變指數Sobolev空間的非線性拋物型方程組的奇性及其弱延拓研究》；

vii. 參加山東省自然科學基金項目《具非標準增長條件的非線性拋物方程（組）奇性解的漸近分析》；

viii. 參加山東省自然科學基金項目《具有變指標的非線性拋物型偏微分方程組解的奇性分析》；

ix. 主持教育部留學基金委公派留學項目；

x. 參加國家自然科學基金項目《多重非線性拋物方程組的臨界指標與解的奇性傳播》；

xi. 參加學校“新能源”科技專項《低煤階煤層氣開採多機理耦合模型與耦合作用》；

xii. 參與學校重點課《高等數學》、《線性代數》建設；

xiii. 參加學校自主創新項目《幾類反應擴散捕食模型的平衡解分析》；

xiv. 參加學校自主創新項目《一類無窮維哈密頓系統的概周期解的研究》；

xv. 參加校級教改項目《思政融合的《線性代數》線上線下混合式教學模式改革與實踐》；

xvi. 2020年校級規劃教材《線性代數：富媒體版》（副主編）。

發表的論文

(1) B.C. Liu, K. Li, F.J. Li*. Note on a parabolic problem with multi-coupled nonlinearity and space-time weighted functions. Bulletin of the Belgian Mathematical Society – Simon Stevin. 2023, Accepted. (SCI)

(2) B.C. Liu, K. Li, F.J. Li*. Asymptotic estimate of weak solutions in a fourth-order parabolic equation with logarithm. Journal of Mathematical Physics. 2023, 64: 011513. (SCI)

(3) F.J. Li*, A.Q. Sun, B.C. Liu. Singular solutions for the fourth-order parabolic equation with nonstandard growth conditions and absorption. Mathematical Methods in the Applied Sciences. 2023, Accepted. (SCI)

(4) H.Y. Lin F.J. Li*, Z.Q. Nie. Blowup property of solutions in the parabolic equation with p-Laplacian operator and multi-nonlinearities. Applicable Analysis. DOI：10.1080/00036811.2022.2100770. (SCI)

(5) F.J. Li*, A.Q. Sun. Singular solutions in a p(x)-Laplace equation with multi-sources. Journal of Dynamical and Control Systems. DOI：10.1007/s10883-022-09602-4. (SCI)

(6) B.C. Liu, K. Li, F.J. Li*. Asymptotic estimates of weak solutions for a parabolic p(x)-Laplace equation with variable exponents and absorption. Analysis and Mathematical Physics. 2022, 12(2): 47. (SCI)

(7) J.Q. Liu, F.J. Li*. Fujita blow-up solutions for a Dirichlet problem of parabolic equations with variable coefficients. Journal of Applied Mathematics and Computing. DOI：10.1007/s12190-022-01704-3. (SCI)

(8) A.Q. Sun, F.J. Li*. Asymptotic property of solutions in a 4th-order parabolic model for epitaxial growth of thin film. Chinese Quarterly Journal of Mathematics. 2022, 37(2): 162—177. (數學核心期刊)

(9) B.C. Liu, M. Zhang, F.J. Li*. Singular Properties of Solutions for a Parabolic Equation with Variable Exponents and Logarithmic Source. Nonlinear Analysis-Real World Applications. 2022, 64: 103449. (SCI)

(10) F.J. Li, J.Q. Liu, B.C. Liu*. Classification of initial energy in a pseudo-parabolic equation with variable exponents. Analysis and Mathematical Physics. 2021, 11：148. (SCI)

(11) X.Z. Sun, B.C. Liu, F.J. Li. Fujita exponents for a space-time weighted parabolic problem in bounded domains. Nonlinear Analysis-Real World Applications. 2021, 62: 623358. (SCI)

(12) F.J. Li, J.Q. Liu. Asymptotic Results and Critical Fujita Exponent in Parabolic Equations with Nonlocal Nonlinearity. Applicable Analysis. 2022, 101(18): 6411—6434. (SCI)

(13) X.Z. Sun, B.C. Liu*, F.J. Li. Fujita Exponents for an Inhomogeneous Parabolic Equation with Variable Coefficients. Mathematical Methods in the Applied Sciences. 2022, 45(11): 7058—7071. (SCI)

(14) F.J. Li, X.Z. Sun, J.L. Zhang, Qualitative study in a parabolic equation with nonstandard growth conditions and singular medium void. Bulletin of the Iranian Mathematical Society. 2022, 48(2): 479—506. (SCI)

(15) C.H. Hu, F.J. Li, Q.X. Wang, Blow-up time estimates of parabolic equations with general coupled nonlinearities. 數學季刊. 2020, 35(1): 77—92. (數學核心期刊)

(16) B.C. Liu, H.Y. Lin, F.J. Li. A Cauchy problem of parabolic equations with time-dependent coefficients. Applicable Analysis. 2019, 34(3): 274—282.(SCI)

(17) B.C. Liu, H.Y. Lin, F.J. Li, X.Y. Wang. Blow-up Analyses in Reaction-Diffusion Equations with Nonlinear Nonlocal Boundary Flux. Zeitschrift fuer Angewandte Mathematik und Physik. 2019, 70(4): 1—27. (SCI)

(18) F.J. Li, H.Y. Lin, B.C. Liu. Blow-up Analyses in Reaction-Diffusion Equations with Fujita Exponents. Nonlinear Analysis-Real World Applications. 2019, 50: 386—412. (SCI)

(19) B.C. Liu, F.J. Li, Z.Y. Zhao. Nonsimultaneous blow-up profile and boundary layer estimate in nonlinear parabolic problems. Applicable Analysis. 2021, 100(2): 417—427. (SCI)

(20) B.C. Liu, G.C. Wu, X.Z. Sun, F.J. Li. Blow-up Estimate in a Reaction-Diffusion Equation with Nonlinear Nonlocal Flux and Source. Computers and Mathematics with Applications. 2019, 78 (6): 1862—1877. (SCI)

(21) B.C. Liu, M.Z. Dong, F.J. Li. Singular solutions in nonlinear parabolic equations with anisotropic nonstandard growth conditions. Journal of Mathematical Physics. 2019, 59 (12)：121504. (SCI)

(22) B.C. Liu, F.J. Li, M.Z. Dong. Thermal Avalanche after non-simultaneous blow-up in heat equations coupled via nonlinear boundary. Rocky Mountain Journal of Mathematics. 2019, 49(3): 101—131. (SCI)

(23) F.J. Li, X.Z. Sun, Asymptotic estimates and Fujita Exponents of Blow-up Solutions in Weighted Parabolic Systems. Bulletin of the Iranian Mathematical Society. 2019, 45(3): 799—833. (SCI)

(24) F.J. Li, X.Z. Sun, Y.N. Du. Blow-up Solutions of Heat Equations with Multi-coupled Nonstandard Growth Sources. Mathematica Applicata. 2018, 31(4): 803—819. (數學核心期刊)

(25) B.C. Liu, M.Z. Dong, F.J. Li. Asymptotic properties of blow-up solutions in reaction-diffusion equations with nonlocal boundary flux. Zeitschrift fuer Angewandte Mathematik und Physik. 2018, 69(2): 22 pages. (SCI)

(26) F.J. Li, B.C. Liu. Bifurcation for a free boundary problem modeling the growth of tumors with a drug induced nonlinear proliferation rate. Journal of Differential Equations. 2017, 263 (11): 7627—7646. (SCI)

(27) B.C. Liu, F.J. Li. Time-weighted blow-up rates and pointwise profile for single-point blow-up solutions in reaction-diffusion equations. Mathematical Methods in the Applied Sciences. 2017, 40(14): 5273—5285. (SCI)

(28) F.J. Li, S.M. Zheng, B.C. Liu. Blow-up of multi-componential solutions in heat equations with exponential boundary flux. Rocky Mountain Journal of Mathematics. 2017, 47(7): 2309—2335. (SCI)

(29) B.C. Liu, F.J. Li. Critical singular exponent and asymptotic estimates in the parabolic equations. Applied Mathematics Letters. 2017, 65: 63—69. (SCI)

(30) B.C. Liu, F.J. Li. Blow-up time and boundary layer for solutions in parabolic equations with different diffusion. Applicable Analysis. 2017, 96(16): 2818—2831. (SCI)

(31) B.C. Liu, F.J. Li. A note on the Cauchy problem for heat equations with coupling moving reactions of mixed type. Journal of Applied Mathematics & Informatics. 2016, 34 (5-6): 359—367.

(32) B.C. Liu, F.J. Li. The profile and boundary layer for parabolic system with critical simultaneous blow-up exponent. Applied Mathematics Letters. 2016, 59: 94-100. (SCI)

(33) B.C. Liu, F.J. Li. Note on blow-up in parabolic equations with local and localized sources. Bulletin of Iranian Mathematical Society. 2017, 43 (3): 923—942. (SCI)

(34) F.J. Li, B.C. Liu. Note on non-simultaneous blow-up of n components for nonlinear parabolic systems. Applicable Analysis. 2015, 94 (7): 1479–1497. (SCI)

(35) F.J. Li, X.H. Zhang, C.C. Zhang. Critical Hypersurface to Non-Newtonian Filtration Equations with Absorption and Boundary Fluxes. Mathematica Applicata. 2015, 28(4): 917–924. (數學核心期刊)

(36) B.C. Liu, F.J. Li. A note on critical point and blow-up rates for singular and degenerate parabolic equations. Bulletin of Iranian Mathematical Society. 2015, 41(5): 1195-1205. (SCI)

(37) B.C. Liu, F.J. Li. Notes on Cauchy problems of nonlinear diffusion equations. Mathematica Applicata. 2014, 27(2): 375--380. (數學核心期刊)

(38) F.J. Li, B.C. Liu. Asymptotic analysis for blow-up solutions in parabolic equations involving variable exponents. Applicable Analysis. 2013, 92(4): 651–664. (SCIE)

(39) B.C. Liu, F.J. Li. Avalanche after non-simultaneous blow-up in nonlinear parabolic systems. 數學進展. 2013, 42(4): 569--575. (數學核心期刊)

(40) B.C. Liu, F.J. Li. Non-simultaneous blowup in heat equations with nonstandard growth conditions. Journal of Differential Equations. 2012, 252(8): 4481–4502. (SCI)

(41) B.C. Liu, F.J. Li. Non-simultaneous blow-up and blow-up rates for reaction-diffusion equations. Nonlinear Analysis: Real World Applications. 2012, 13(2): 764–778. (SCI)

(42) B.C. Liu, F.J. Li. Blow-up solutions for localized reaction-diffusion equations with variable exponents. Mathematical Methods in the Applied Sciences. 2011, 34(14): 1778–1788. (SCI)

(43) B.C. Liu, F.J. Li. Critical non-simultaneous blow-up exponents for a reaction-diffusion system. 數學進展. 2011, 4(5): 531–536. (數學核心期刊)

(44) B.C. Liu, F.J. Li. Blowup solutions and their blowup rates for parabolic equations with non-standard growth conditions. Electronic Journal of Qualitative Theory of Differential Equations. 2011，77: 1–11. (SCI)

(45) B.C. Liu, F.J. Li. Non-simultaneous blow-up in localized reaction-diffusion equations. Applicable Analysis, 2010, 89(10): 1615–1627. (SCI)

(46) B.C. Liu, F.J. Li. Properties of non-simultaneous blow-up solutions in nonlocal parabolic equations. Nonlinear Analysis-Theory Methods & Applications. 2010, 72(2) : 1065–1074. (SCI)

(47) B.C. Liu, F.J. Li. Properties of non-simultaneous blow-up in heat equations coupled via different localized sources. Applied Mathematics and Computation. 2010, 217(7): 3403–3411. (SCI)

(48) F.J. Li, B.C. Liu. Non-simultaneous blow-up in parabolic equations coupled via localized sources. Applied Mathematics Letters. 2010, 23(8): 871–874. (SCI)

(49) F.J. Li, B.C. Liu, S.N. Zheng. Optimal conditions of non-simultaneous blow-up and uniform blow-up profiles in localized parabolic equations. Nonlinear Analysis-Theory Methods & Applications. 2010, 72(2): 867–875. (SCI)

(50) B.C. Liu, F.J. Li. Non-simultaneous blow-up in a parabolic system with three components. Nonlinear Analysis-Theory Methods & Applications. 2009, 70(5): 1813–1829. (SCI)

(51) B.C. Liu, F.J. Li. Optimal classification for blow-up phenomena in heat equations coupled via exponential sources. Nonlinear Analysis-Theory Methods & Applications. 2009, 71(3-4) : 1263–1270. (SCI)

(52) B.C. Liu, F.J. Li. A complete classification for non-simultaneous blow-up. Applied Mathematics Letters. 2009, 22(4): 548–552. (SCI)

(53) B.C. Liu, F.J. Li. Non-simultaneous blow-up for n-componential parabolic systems. Nonlinear Analysis-Theory Methods & Applications. 2009, 71(7-8): 3538–3550. (SCI)

(54) B.C. Liu, F.J. Li. Non-simultaneous blow-up of n components for nonlinear parabolic systems. Journal of Mathematical Analysis and Applications. 2009, 356(1): 215–231. (SCI)

(55) B.C. Liu, F.J. Li, S.N. Zheng. Note on a nonlinear diffusion system with convection. Applied Mathematics and Computation. 2009, 214(1): 41–47. (SCI)

(56) F.J. Li, B.C. Liu. Critical exponents for non-simultaneous blow-up in a localized parabolic system. Nonlinear Analysis-Theory Methods & Applications. 2009, 70(10): 3452–3460. (SCI)

(57) F.J. Li, B.C. Liu, S.N. Zheng. Optimal conditions on generalized solutions of coupled nonlinear diffusion systems. Journal of Mathematical Research with Applications. 2009, 29(6): 954–960.

(58) F.J. Li, B.C. Liu, S.N. Zheng. Non-simultaneous blow-up criteria for localized parabolic equations. Communications in Mathematical Research. 2009, 25(4): 379–384.

(59) B.C. Liu, F.J. Li. Blow-up properties for heat equations coupled via different nonlinearities. Journal of Mathematical Analysis and Applications. 2008, 347(1): 294–303. (SCI)

(60) F.J. Li, S.N. Zheng, B.C. Liu. Blow-up properties of solutions for a multi-coupled parabolic system. Nonlinear Analysis-Theory Methods & Applications. 2008, 68(2): 288–303. (SCI)

(61) S.N. Zheng, B.C. Liu, F.J. Li. Simultaneous and non-simultaneous blow-up for a cross-coupled parabolic system. Journal of Mathematical Analysis and Applications. 2007, 326(1): 414–431. (SCI)

(62) F.J. Li, B.C. Liu, S.N. Zheng. Simultaneous and non-simultaneous blow-up for heat equations with coupled nonlinear boundary fluxes. Zeitschrift fuer Angewandte Mathematik und Physik. 2007, 58(5): 717–735. (SCI)

(63) S.N. Zheng, B.C. Liu, F.J. Li. Non-simultaneous blow-up for a multi-coupled reaction-diffusion system. Nonlinear Analysis-Theory Methods & Applications. 2006, 64(6): 1189–1202. (SCI)

(64) S.N. Zheng, B.C. Liu, F.J. Li. Blow-up rate estimates for a doubly coupled reaction-diffusion system. Journal of Mathematical Analysis and Applications. 2005, 312(2): 576–595. (SCI)

(65) S.N. Zheng, F.J. Li, B.C. Liu. Asymptotic behavior for a reaction-diffusion equation with inner absorption and boundary flux. Applied Mathematics Letters. 2006, 19(9): 942–948. (SCI)

(66) S.N. Zheng, F.J. Li. Critical exponents for a reaction-diffusion model with absorptions and coupled boundary flux. Proceedings of theEdinburgh Mathematical Society. 2005, 48(1): 241–252. (SCI)

參加學術會議

(1) The 9th East China Partial Differential Equations Conference & Shanxi International Conference on Partial Differential Equations，山西大學。

(2) The 11th AIMS Conference on Dynamical Systems, Differential Equations and Applications，美國奧蘭多。

(3) 2017年數學物理方程國際學術研討會，山東青島。

(4) 2017年偏微分方程研討會，吉林大學。

(5) 第十七屆非線性偏微分方程學術會議，吉林大學。

(6) 第五屆微分方程、動力系統與套用研討會，華南理工大學。

(7) 2020西北微分方程及套用會議，國家天元數學西北中心，寶雞文理學院。

(8) 2020非線性橢圓與拋物型方程及其套用網路會議，國家天元數學中部中心，武漢大學。

(9) 2021偏微分方程自由邊界問題研討會，江西師大，西北工業大學。

(10) 第六屆微分方程、動力系統與套用研討會，華南理工大學。

(11) Conference on Nonlinear Analysis and Reaction-Diffusion Equations，西安電子科技大學，2021。

獲獎和培訓情況

1. 2007年獲得遼寧省自然科學學術成果一等獎《雙重耦合反應擴散方程組的blow-up估計》（鄭斯寧、劉丙辰、李鋒傑，2007–LNL0114）。

2. 2019年度校級優秀本科畢業設計（論文）指導教師。

3. 學校第二屆“學習性教學”技能大賽理論考試一等獎。

4. 2021年高校教師課程思政教學能力培訓。

5. 2021年國家教育行政學院高校高校中青年教師教育教學能力提升主題網路培訓。

主要科研方向

非線性偏微分方程理論及其套用

指導大創項目

2018年《具有奇性空隙的非線性偏微分方程奇性解研究》

2019年《一類p-Laplacian方程組解的滅絕判據研究》

2020年《非線性拋物方程組第二初邊值問題的爆破時間估計》

2021年《具不同類型變係數的拋物組的爆破研究》

2022年《非線性高階拋物方程組的能量分類研究》

2022年《具有吸收項的高階拋物方程解的爆破分析》

2023年《偽拋物型Kirchhoff方程解的定性研究》

2023年《p-laplacian高階拋物方程組的能量分類研究》