个人简历:
1978.03―1982.01 吉林大学数学系 本科生
1984.09―1988.12 吉林大学数学所 硕士、博士研究生
1982.01―1992.09 吉林大学数学学院 助教、讲师、副教授
1992.10―2010.04 吉林大学数学学院 教授
1994.12―2010.04 吉林大学数学学院 博士生导师
2010.04―现在 华南师范大学数学科学学院 教授、博士生导师
主要讲授课程:
数学分析、数学物理方程、椭圆型方程、抛物型方程、非线性扩散方程、数学分析技巧、现代分析学选讲
指导研究生情况:
毕业博士生24人(现有教授14人,博导12人,副教授5人,讲师4人,博后1人)、在读博士生2人、在读硕士生2人
应邀出访经历:
先后应邀访问新加坡国立大学、香港中文大学、香港城市大学、香港科技大学、澳洲国立大学等。
主持的主要科研项目:
1.《扩散现象中的一些自由边界问题》,国家自然科学基金青年项目,1992-1994;
2.《扩散现象中的某些非线性问题》,霍英东青年教师基金,1992-1994;
3.《具退化性和奇异性的非线性扩散方程》,国家杰出青年基金项目,2002―2005;
4.《具奇异性的非线性扩散方程》,高等学校博士学科点专项科研基金项目,2004―2006;
5.《图像处理中的偏微分方程方法及其数值方法》,国家自然科学基金重点项目,2006―2009;
6.《具奇异性的非线性扩散方程》,高等学校博士学科点专项科研基金项目,2009―2011;
7.《非线性扩散方程的定性理论》,国家自然科学基金面上项目,2011―2013;
8.《具奇异性的非线性扩散方程》,高等学校博士学科点专项科研基金项目,2012―2014;
9.《非线性扩散方程的定性理论》,国家自然科学基金面上项目,2014―2017;
19.《具退化或其它奇异性非线性扩散方程的定性理论》,国家自然科学基金面上项目,2018―2021;
11.《几类偏微分方程的若干性质》,国家自然科学基金天元访问学者项目,2020.
12.《混合型非线性扩散方程的定性理论》,国家自然科学基金面上项目,2022―2025;
主持的主要教学项目:
1.《数学分析》,教育部基地创名牌课程项目,2003―2005;
2.《数学物理方程》,国家精品课项目(No.教高司函[2007]177号)
01. 香港求是科技基金会“杰出青年学者奖”,2001;
02. 教育部“长江学者奖励计划”特聘教授, 2001;
03. 教育部科学技术进步一等奖(排名第二), 1999;
04. 国家级教学名师,2008;
05. 教育部高等学校自然科学二等奖(排名第一),2009;
06. 指导的博士生获全国百篇优秀博士论文奖, 2006;
07. 教育部高等学校优秀骨干教师, 2002;
08. 宝钢优秀教师奖,2006;
09. 吉林省师德标兵,2006;
10. 吉林省劳动模范,2009;
11. 教育部跨世纪优秀人才,1997.
12. 国务院政府特殊津贴,1995.
13. 霍英东青年教师基金,1992.
14. 长春市五一劳动奖章,2007.
1. 非线性扩散方程,吉林大学出版社,1996年;
2. Nonlinear Diffusion Equations, World Scientific Publishing Co., Inc., River Edge, NJ, 2001;
3. 椭圆与抛物型方程引论,科学出版社,2003年;
4. 数学分析,高等教育出版社,2004年;
5. Elliptic and Parabolic Equations, World Scientific Publishing Co., Inc., River Edge, NJ, 2006;
6. 数学分析中的方法与技巧,高等教育出版社,2009年;
7. 数学物理方程,高等教育出版社,2010年.
- A reducing mechanism on wave speed for chemotaxis systems with degenerate diffusion, Calculus of Variations and Partial Differential Equations, 60(5)(2021):178. joint with Dr. Shanming Ji, Prof. Zhi-An Wang and Dr. Tianyuan Xu.
- Asymptotic profile of a two-dimensional chemotaxis--Navier--Stokes system with singular sensitivity and logistic source,Mathematical Models and Methods in Applied Sciences, 31(3)(2021), 577--618. joint with Prof. Peter Y. H. Pang and Prof. Yifu Wang.
- 具混合边界条件的趋化-流体耦合模型解的整体存在性,中国科学:数学, 51(6)(2021), 917--936. 与金春花教授合作.
- Forced Waves of Reaction-Diffusion Model with Density-Dependent Dispersal in Shifting Environments, Journal of Differential Equations, 282(2021), 127--147. joint with Gege Liu and Tianyuan Xu.
- Sharp Oscillatory Traveling Waves of Structured Population Dynamics Model with Degenerate Diffusion, Journal of Differential Equations, 269(2020), 8882--8917. joint with Dr. Tianyuan Xu, Dr. Shanming Ji and Prof. Ming Mei.
- Variational approach of critical sharp front speeds in degenerate diffusion model with time delay, Nonlinearity, 33(2020), 4013--4029. joint with Dr. Tianyuan Xu, Dr. Shanming Ji and Prof. Ming Mei.
- Sobolev Hyperbola for the Periodic Parabolic Lane-Emden System, Nonlinearity, 33(2020), 762--789, joint with Dr. Haochuan Huang, Pro. Rui Huang and Dr. Yang Cao.
- On a chemotaxis model with degenerate diffusion: Initial shrinking, eventual smoothness and expanding, Jounal of Differential Equations, 268(2020), 414--446. joint with Dr. Tianyuan Xu, Shanming ji, Prof. Ming Mei.
- A semilinear pseudo-parabolic equation with initial data non-rarefied at $\infty$, Journal of Functional Analysis, 277(10)(2019), 3737--3756. joint with Dr. Yang Cao and Dr. Zhiyong Wang
- Traveling waves for time-delayed reaction diffusion equations with degenerate diffusion, Journal of Differential Equations, 265(9)(2018), 4442--4485. joint with Dr. Tianyuan Xu, Dr. Shanming Ji and Prof. Ming Mei
- Complicated Asymptotic Behavior of Solutions for Porous Medium Equation in Unbounded Space, Journal of Differential Equations, 264(10)(2018), 6302--6324. joint with Prof. Liangwei Wang
- Existence and Stability of Traveling Waves for Degenerate Reaction-Diffusion Equation with Time Delay, Journal of Nonlinear Sciences, (2018). joint with Prof. Rui Huang, Prof. Chunhua Jin and Prof. Ming Mei.
- Asymptotic Behavior of Solutions for a Doubly Degenerate Parabolic Equation not in Divergence Form, Rocky Mountain Journal of Mathematics, 47(2)(2017), 479--510. joint with Prof. Chunhua Jin
- Instantaneous shrinking and extinction for a non-Newtonian polytropic filtration equation with orientated convection, Discrete and Continuous Dynamical Systems, Series B, 22(4)(2017), 1743--1755. joint with Dr. Hailong Ye
- Instability of positive periodic solutions for semilinear pseudo-parabolic equations with logarithmic nonlinearity, Journal of Differential Equations, 261(10)(2016), 5446--5464. joint with Dr. Shanming Ji and Dr. Yang Cao
- Isolated Singularities of Positive Solutions to the Weighted $p$-Laplacian, Calculus of Variations and Partial Differential Equations, 55(2)(2016), Art.28, 16 pp. joint with Prof. Song Huijuan and Prof. Wang Zejia.
- Small Perturbation of a Semilinear Pseudo-parabolic Equation, Discrete Contin. Dyn. Syst., 36(2)(2016), 631--642. joint with Dr. Yang Cao
- Non-sharp travelling waves for a dual porous medium equation, Communications on Pure and Applied Analysis, 15(2)(2016), 623--636. joint with Dr. Jing Li and Prof. Yifu Wang
- Uniqueness of Self-Similar Jing Li, Yifu WangJing Li, Yifu WangVery Singular Solution of Non-Newtonian Polytropic Equation with Gradient Absorption, Electron. J. Diff. Equ., Vol. 2015 (2015), No. 83, pp. 1-9. joint with Dr. Hailong Ye
- A Note on Semilinear Heat Equation421(2)(2015), 1225--1237. in Hyperbolic Space, Journal of Differential Equations, 256(3)(2014), 1151--1156. joint with Dr. Zhiyong Wang
- Critical Fujita absorption exponent for the evolutionary $p$-Laplacian with inner absorption and boundary flux, Differential and Integral Equations, 27(7-8)(2014), 643--658. joint with Prof. Chunhua Jin and Prof. Sining Zheng
- Young Measure Solutions of a Class of Forward-Backward Convection-Diffusion Equations, Quarterly of Applied Mathematics, 72(1)(2014), 177--192. joint with Prof. Chunpeng Wang and Dr. Yuanyuan Nie.
- Some Properties of Weak Solutions to the Weighted $p$-Laplacian near an Isolated Singular Point, Proceedings of the Royal Society of Edinburgh: Section A, 144A(2)(2014), 395--425. joint with Prof. Huijuan Song
- $\omega$-Limit Sets for Porous Medium Equation with Initial Data in Some Weighted Spaces, Discrete and Continuous Dynamical Systems: Series B, 18(1)(2013), 223--236. joint with Prof. Liangwei Wang and Prof. Chunhua Jin.
- Traveling Wavefronts for a time delayed Newtonian Filtration Equation, Journal of Differential Equations, 254(1)(2013), 1--29. joint with Prof. Chunhua Jin and Prof. Sining Zheng
- Existence of Positive Solutions for the $p(x)$-Laplacian Equation, Rocky Mountain Journal of Mathematics, 42(5)(2012), 1675--1758. joint with Prof. Jinkai Li and Prof. Yuanyuan Ke
- Traveling Waves of a Non-Newtonian Filtration Equation with Delay, Physica D: Nonlinear Phenomena, 241(21)(2012), 1789--1803. Joint with Prof. Chunhua Jin
- Removable Isolated Singularities of Solutions to the Weighted $p$-Laplacian with Singular Convection, Mathematical Methods in the Applied Sciences, 35(9)(2012), 1089--1100. joint with Prof. Huijuan Song
- Critical Exponents of a Doubly Degenerate Non-Divergent Parabolic Equation with Interior and Boundary Sources, Mathematische Nachrichten, 285(5-6)(2012), 758--777. joint with Prof. Chunhua Jin
- Waiting Time for a non-Newtonian Polytropic Filtration Equation with Convection, Journal of Differential Equations, 252(9)(2012), 4862--4885. joint with Prof. Chunhua Jin and Prof. Tong Yang
- Periodic Solutions of a Non-Divergent Diffusion Equation with Nonlinear Sources, Discrete and Continuous Dynamical System, Series B,17(1)(2012), 101--126. joint with Prof. Chunhua Jin
- Complexity of Asymptotic Behavior of the Porous Medium Equation in $\mathbb{R}^N$, Journal of Evolution Equations, 11(2)(2011), 429--455. joint with Prof. Liangwei Wang and Prof. Rui Huang
- The viscous Cahn-Hilliard equation with periodic potentials and sources, Journal of Fixed Point Theory and Applications, 9(1)(2011), 63--84. joint with Prof. Yinghua Li
- On the existence of nonnegative continuous solutions for a class of fully nonlinear degenerate parabolic equations, Zeitschrift f\"ur angewandte Mathematik und Physik, 61(5)(2010), 835--847. joint with Dr. Jing Li and Prof. Chunhua Jin
- Existence of Solutions for the $p$-Laplacian with Critical Sobolev Exponent and Convection, Applicable Analysis, 89(10)(2010), 1575--1590. joint with Prof. Jinkai Li and Prof. Yuanyuan Ke
- Anti-Shifting Phenomenon of a Convective Nonlinear Diffusion Equation, Discrete and Continuous Dynamical Systems Series B, 14(3)(2010), 1211--1236. joint with Prof. Chunpeng Wang and Dr. Bibo Lu
- Large time behavior of solutions to non-Newtonian filtration equation with nonlinear boundary sources, Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 140(4)(2010), 833--855. joint with Prof. Zejia Wang and Prof. Chunpeng Wang
- Periodic Solutions of the Evolutionary $p$-Laplacian with Nonlinear Sources, Journal of Mathematical Analysis and Applications, 368(2)(2010), 604--622. joint with Prof. Chunhua Jin
- Critical exponents and traveling wavefronts of a degenerate-singular parabolic equation in non-divergence form, Discrete and Continuous Dynamical Systems, Series B, 13(1)(2010), 213--227. joint with Prof. Chunhua Jin