个人简介 1956年1月出生,籍 贯 吉林省敦化市,
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个人简介1956年1月出生,籍贯:吉林省敦化市,
1978.03―1982.01 吉林大学数学系本科生
1984.09―1986.08 吉林大学数学所硕士研究生
1986.09―1988.12 吉林大学数学所博士研究生
1982.01―1988.06 吉林大学数学学院助教
1988.07―1990.12 吉林大学数学学院讲师
1991.01―1992.09 吉林大学数学学院副教授
1992.10―现在吉林大学数学学院教授
1994.12―现在吉林大学数学学院博士生导师
2001.10―现在吉林大学数学学院长江学者特聘教授
四、主要学术贡献
主要从事偏微分方程理论及其应用方面的研究。
主持和参加了多项教学和科研项目,于国内外学术刊物发表论文几十篇。
现指导博士研究生人6人,硕士研究生9人(已毕业博士研究生6人,硕士研究生12人).
1. 教学项目
1) 《数学分析》,教育部基地创名牌课程项目,负责人,2003―2005;
2) 《数学分析》,吉林大学百门精品课程,负责人,2001―2006;
3) 《新时期应用数学人才培养》,吉林大学新世纪教育教学改革工程,负责人,2 003―2006;
4) 《数学物理方程》,吉林大学百门精品课程,负责人,2005―2010;
2. 科研项目
1)《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,负责人,20 02―2005;
2) 《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,负责人,2004―2006;
3) 《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,负责人,2006―2009.
3.获奖励情况
(1) 2001年获得香港求是科技基金会“杰出青年学者奖”。
(2) 2001年被教育部评为“长江学者奖励计划”特聘教授。
(3) 1999年获国家教育部科学技术进步一等奖。
(4) 2002年被评为教育部高等学校优秀骨干教师。
(5) 2005年被评为吉林省高级专家。
(6) 2005年被评为吉林省有突出贡献的中青年专业技术人才。
(7) 2005年入选吉林省第一批拔尖创新人才第二层次人选。
(8) 2006年荣获吉林大学十五期间科技突出贡献奖。
4. 出版著作目录
1. 《椭圆与抛物型方程引论》,科学出版社,2003.
2. 《数学分析》第一册,高等教育出版社,2004.
3.《非线性扩散方程》,吉林大学出版社,1996.
4. 《Nonlinear Diffusion Equations》,新加坡世界科技出版社,2001.
5. 近五年发表的主要论文目录
[1] Yin Jingxue and Wang Yifu, Asymptotic behaviour of solutions for porous medium equation with periodic absorption, International Journal of Mathematics and Mathematical Sciences, 26(1)(2001), 35--44.
[2] Yin Jingxue and Liu Changchun, Regularity of solutions of the Cahn-Hilliard equation with concentration dependent mobility, Nonlinear Analysis, TMA, 45(5)(200 1), 543--554.
[3] Pang P. Y. H., Wang H. Y. and Yin J. X., Free-boundary problem for a si ngular diffusion equation, J. Math. Anal. Appl., 265(2)(2002), 414--429.
[4] Yin Jingxue and Wang Chunpeng, Existence of Young Measure solutions of
a class of singular diffusion equations, Progress in Natural Science, 12(4)(2002), 258--263.
[5] Gao Wenjie and Yin Jingxue, Existence for a generalized diffusion model (c hinese), Chin. Ann. of Math., 23A(2)(2002), 129--136. (Tranlation in Chinese Journal of Contemporary Mathematics,23(2)(2002), 95--104.)
[6] Wang Chunpeng and Yin Jingxue, Some properties of Young Measure soluti ons for a nonlinear diffusion equation, Progress in Natural Science, 12(7)(2002), 512--517.
[7] Wang Yifu and Yin Jingxue, Predator-prey in an unstirred chemostat with pe riodical input and washout, Nonlinear Analysis: Real World Appli- cations, 3(4)(200 2), 597--610.
[8] Wu Zhuoqun, Yin Jingxue and Gao Hang, Optimal control of growth rate fo r a class of population system, Sys. Sci. Comp., 16(1)(2003), 53--66.
[9] Wang Chunpeng and Yin Jingxue, Traveling wave fronts of a degenerate par abolic equation with non-divergence form, Journal of Partial Differential Equations, 1 6(1)(2003), 62--74.
[10] Yin Jingxue, Li Huilai, Peter Pang Y H and Wang Hongyu, $BV$ solution s of a singular diffusion equation, Mathematische Nachrichten, 253(2003),92--106.
[11] Yin Jingxue and Wang Chunpeng, Young measure solutions of a class of f orward-backward diffusion equations, J. Math. Anal. Appl.,279(2)(2003), 659--683.
[12] Huang Wenmei, Yin Jingxue and Wang Yifu, On critical Fujita exponents f or a degenerate parabolic equation with nonlinear boundary condition,J. Math. Anal. Appl., 286(2)(2003), 369--377.
[13] Yin Jingxue, Lei Peidong and Wu Zhuoqun, Uniqueness of BV entropy sol utions for high dimensional quasilinear parabolic equations with arbitrary degeneracy, Comm. Math. Sci., 1(4)(2003), 697--714.
[14] Yin Jingxue and Wang Chunpeng, Properties of the Boundary Flux of a Si ngular Diffusion Process, Advances in Mathematics, 32(3)(2003), 381--384.
[15] Wang Chunpeng and Yin Jingxue, Shrinking similar solutions of nonlinear diffusion with non-divergence form, J. Math. Anal. Appl., 289(2)(2004), 387--404.
[16] Yin Jingxue and Wang Chunpeng, Properties of the boundary flux for a sin gular diffusion process, Chin. Ann. Math., 25B(2)(2004), 175--182.
[17] Jingxue Yin and Chunpeng Wang, Shrinking similar solutions of a convecti on diffusion equation, Quart. Appl. Math. 62(2)(2004), 259--272.
[18] Lei Peidong, Wu Zhuoqun and Yin Jingxue, Boundary value problem for a class of degenerate quasilinear parabolic equations with singularity, 296(1)(2004), J. Math. Anal. Appl., 209--225.
[19] Liu Changchun, Yin Jingxue and Gao Hongjun, A Generalized Thin Film E quation, Chin. Ann. of Math., 25B(3)(2004), 347--358.
[20] Wang Jing, Wang Zejia and Yin Jingxue, A Class of Degenerate Diffusion Equations with Mixed Boundary Conditions,J. Math. Anal. Appl., 298(2)(2004), 589--603.
[21] Wang Zejia and Yin Jingxue, Uniqueness of Solutions to a Viscous Diffusi on Equation, Appl. Math. Lett., 17(12)(2004), 1317--1322.
[22] Wang Chunpeng, Yin Jingxue and Wang Zejia, Similar entropy solutions of
a singular diffusion equation, Computers & Mathematics with Applications,49(7-8)(20
05), 1059--1068.
[23] Yin Jingxue, Ke Yuanyuan and Wang Chunpeng, Radially Symmetric Soluti ons of the $p$-Laplacian with Sources and Nonlocal Boundary Condition, Nonlinear Analysis, 60(7)(2005), 1183--1196.
[24] Chunpeng Wang, Tong Yang and Jingxue Yin, A class of self-similar soluti ons to a singular and degenerate diffusion equation, Nonlinear Analysis, 60(4)(2005),7 75--796.
[25] Zhou Qian, Ke Yuanyuan, Wang Yifu and Yin Jingxue, Periodic $p$-Laplac ian with nonlocal terms, Article in Press by Nonlinear Analysis,2006.
[26] Wang Zejia, Yin Jingxue and Wang Chunpeng, Critical Exponents to the N on-Newtonian Polytropic Filtration Equation with Nonlinear Boundary Condition, Artic le in Press by Appl. Math. Letters.
[27] Wang Yifu and Yin Jingxue, Travelling Waves for a Biological Reaction D iffusion Model with Spatio-temporal Delay, Article in press by J. Math. Anal. Appl.
[28] Liu Changchun, Qi Yuanwei and Yin Jingxue, Regularity of Solutions of th
e Cahn-Hilliard Equation with Non-constant Mobility, Acta Mathematica Sinica,Englis
h Series, 22(4)(2006), 1139--1150.
[29] Chunpeng Wang, Tong Yang and Jingxue Yin, Self-similar Solutions and A symptotic Behavior for a Class of Degenerate and Singular Diffusion Equations, Acce pted by Proceedings of the Royal Society of Edinburgh: Section A.
[30] Yin Jingxue and Liu Changchun, Cahn-Hilliard Type Equations with Concen tration Dependent Mobility, Mathematical Methods and Models in Phase Transitions, 79--93, Nova Science Publishers, Inc, New York, 2005.
[31] Chunhua Jin, Jingxue Yin and Zejia Wang, Positive Radial Solutions of the $p$-Laplacian with Sign Changing Nonlinear Sources, Accepted by Mathematical Me thods in Applied Sciences.
[32] Chunhua Jin, Jingxue Yin, Positive Solutions for The Boundary Value Probl ems of One-Dimensional $p$-Laplacian with Delay, Accepted by J. Math. Anal. Appl.
[33] Chunhua Jin and Jingxue Yin, Critical Exponents and Non-extinction for a Fast Diffusive Polytropic Filtration Equation with Nonlinear Boundary Sources, Accep ted by Nonlinear Analysis, Series A: Theory, Methods & Applications.。