教师个人简历

姓    名:

尹景学

英文名:

Yin Jingxue

性 别:

出生年月:

1956年1月

籍 贯:

吉林省敦化市

政治面貌:

中共党员

学 位:

博士

职 称:

教授

研究领域:

非线性扩散方程

联系方式:

办公室:020-85216655-8421 电邮:yjx@scnu.edu.cn

工作经历

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)

科研成果


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.

出版教材

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.

科研论文

2010年以来发表的主要学术论文:

  1. 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.
  2. 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.
  3. 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.
  4. 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.
  5. 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.
  6. 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.
  7. 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.
  8. 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.
  9. 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
  10. 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
  11. 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
  12. 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.
  13. 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
  14. 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
  15. 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
  16. 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.
  17. Small Perturbation of a Semilinear Pseudo-parabolic Equation, Discrete Contin. Dyn. Syst., 36(2)(2016), 631--642. joint with Dr. Yang Cao
  18. 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
  19. 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
  20. 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
  21. 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
  22. 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.
  23. 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
  24. $\omega$-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.
  25. 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
  26. 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
  27. Traveling Waves of a Non-Newtonian Filtration Equation with Delay, Physica D: Nonlinear Phenomena, 241(21)(2012), 1789--1803. Joint with Prof. Chunhua Jin
  28. 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
  29. 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
  30. 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
  31. 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
  32. 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
  33. 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
  34. 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
  35. 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
  36. 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
  37. 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
  38. 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
  39. 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