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郑斯宁老师介绍
姓名:郑斯宁
办公室电话:0411-84708351-8032
电子邮箱地址:snzheng@dlut.edu.cn
主要学历及工作经历:
1946年11月生于四川重庆，祖籍河南罗山。
1970年毕业于北京大学数学力学系。
在吉林大学数学系获理学硕士（1981）和博士（1998）学位。导师：伍卓群教授。
1981年起在大连理工大学应用数学系任教，先后任讲师（1983）， 副教授（1987），教授（1991），系主任（1998--2002），教学名师（2003）。
1984--85 访问美国密西根大学 (University of Michigan) 数学系 J. Smoller, 1995--95 访问美国加州理工学院 (California Institute of Technology) 应用数学系 T.Y. Hou.
主要学术及社会兼职:
美国数学会会员（1986--）
美国“数学评论”(Mathematical Reviews) 评论员（1987--）
美国“国际微分方程杂志”(International Journal of Differential Equations) 编委（2008--）
“数学研究与评论”(Journal of Mathematical Research and Exposition) 编委（1999--2005）
“大连理工大学学报”(Journal of Dalian University of Technology) 编委 （2005--）
研究领域（研究课题）:
非线性科学是当代科学最重要的研究领域之一，其核心是关于非线性偏微分方程的研究。经典线性模型只是真实问题的理想性简化，只能局部地刻画物质运动及物质运动的量变过程；凡涉及质变现象，或在大的（时间或空间）范围考虑问题时，必定与非线性模型打交道。世界因为非线性而精彩。非线性导致物质世界的多样性，造就丰富多彩的大千世界。非线性科学极大地刺激了现代数学的发展，成为当代数学发展的重要推动力。人们对非线性的研究是从低级到高级、从简单到复杂逐步发展的。例如，从半线性到拟线性、完全非线性；从单个方程到方程组；从非退化到退化；从弱耦合到强耦合，等等。本人主要研究领域集中于非线性发展方程，特别是具有广泛实际背景的非线性抛物方程（组），以及非线性双曲守恒律组等。
指导硕、博士生研究方向:
非线性偏微分方程的理论与应用。 重点是对具有广泛实际背景的非线性抛物方程（组）等非线性发展方程（组）的研究，例如：复杂抛物系统中多重非线性之间的相互作用、解的奇性的产生与传播等。
出版著作和论文:
科研成果主要分布于以下几个方向：
（1）关于mutualist多种群反应扩散模型的研究（1986--1994）：为最早进行这类问题研究的学者之一，曾有五大洲二十多个国家的同行来函索取论文抽印本，具有广泛国际影响，其中1987年给出的一个模型和结果（J. Math. Anal. Appl. 124 (1987), 254--280）20年来被国内外同行大量引用至今。
（2）关于非线性超抛物方程研究（1984，与伍卓群合作）：为关于非线性超抛物方程为数不多的工作之一，直到2005年仍受到法国数学家 Kirane等人关注。
（3）关于非线性双曲守恒律组广义解的稳定性和唯一性的研究（1985--1986）：改进和推广了著名数学家DiPerna的重要工作，得到DiPerna本人的肯定与好评。
（4）关于反应扩散方程组弱不变区域理论的研究（1994--2000）：改造经典不变区域理论，引进弱不变区域新概念并建立有界弱不变区域的判定定理。新框架可容纳相当广泛的反应扩散方程组，将解的整体存在性证明大大简化。
（5）关于反应扩散方程组中临界增长性的研究（1996--2001）：引起该领域同行关注，被美国科学院院士 Serrin评价为“椭圆与抛物方程领域的重要贡献” (“an important contribution to the subject of semilinear elliptic and parabolic equations”)，该文的单篇SCI引用已超过30次（含自引）。
（6）关于多重非线性抛物方程组的临界指标与奇性传播的研究（2002--至今）：为近五年来的主要研究领域。以所引入的特征代数方程组这一新框架，得到关于多重非线性机制之间相互作用与奇性生成规律的清晰刻画，在多重非线性抛物方程组临界指标与奇性解渐近分析方面所取得了一系列特色鲜明的研究成果，发表于十多种重要国外学术期刊。
1987年起担任美国“数学评论”(Mathematical Reviews) 评论员，已发表数学评论180余则。
主持（已完成及正承担）国家自然科学基金项目：
“反应扩散方程组弱不变区域的理论与数学生态学模型”（19371017）
“关于反应扩散方程组临界增长性的分析及其数值模拟”（19871008）
“多重非线性抛物方程组的临界指标与解的奇性传播”（10471013）
“多重非线性抛物方程组奇性解渐近分析的几个新问题”（10771024）
selected Publications （1986--2009 部分论文目录，限于列举重要国际数学期刊论文）：
1. Sining Zheng, A necessary condition for $L^2$ stability of quasilinear conservation laws, Proc. Amer. Math. Soc. 96 (1986), no. 3, 495--496. (SCI)
2. Sining Zheng, A reaction-diffusion system of a predator-prey-mutualist model, Math. Biosci. 78 (1986), no. 2, 217--245. (SCI)
3. Sining Zheng, A reaction-diffusion system of a competitor-competitor-mutualist model, J. Math. Anal. Appl. 124 (1987), no. 1, 254--280. (SCI)
4. Sining Zheng, A note on asymptotic behavior of solutions to a heterogeneous nonlinear reaction-diffusion system, Proc. Amer. Math. Soc. 98 (1986), no. 1, 103--108. (SCI)
5. Sining Zheng, Global boundedness of solutions to a reaction-diffusion system, Math. Methods Appl. Sci. 22 (1999), no. 1, 43--54. (SCI:156QE)
6. Sining Zheng, Nonexistence of positive solutions to a semilinear elliptic system and blow-up estimates for a reaction-diffusion system, J. Math. Anal. Appl. 232 (1999), no. 2, 293--311. (SCI: 184VW)
7. Sining Zheng, Global existence and global non-existence of solutions to a reaction-diffusion system, Nonlinear Anal. 39 (2000), no. 3, 327--340. (SCI: 257PF )
8. Sining Zheng, Weakly invariant regions for reaction-diffusion systems and applications, Proc. Roy. Soc. Edinburgh Sect. A 130 (2000), no. 5, 1165--1180. (SCI: 379DW)
9. Sining Zheng, Lizhong Zhao and Feng Chen, Blow-up rates in a parabolic system of ignition model, Nonlinear Anal. 51 (2002), no. 4. 663--672. (SCI: 592NK)
10. Lizhong Zhao, Sining Zheng, Blow-up estimates for system of heat equations coupled via nonlinear boundary flux, Nonlinear Anal. 54 (2003), no. 2, 251--259. (SCI: 683BY)
11. Xianfa Song, Sining Zheng, Blow-up and blow-up rate for a reaction-diffusion model with multiple nonlinearities, Nonlinear Anal. 54 (2003), no. 2, 279--289. (SCI: 683BY)
12. Xianfa Song, Sining Zheng, Blow-up analysis for a quasilinear parabolic system with multi-coupled nonlinearities, J. Math. Anal. Appl. 281 (2003), no. 2, 739--756. (SCI: 691EF)
13. Sining Zheng, Jing Liu, Coexistence solutions for a reaction–diffusion system of un-stirred chemostat model, Appl. Math. Comput. 145 (2003), no. 2-3, 579--590. (SCI: 726CF)
14. Sining Zheng, Wenmiao Liang and Xianfa Song, Critical exponents in a parabolic system with inner absorption and coupled nonlinear boundary flux, Appl. Math. Comput. 154 (2004), no.2, 567--581.(SCI: 638KW)
15. Zhaoxin Jiang, Sining Zheng and Xianfa Song, Blow-up analysis for a nonlinear diffusion equation with nonlinear boundary condition, Appl. Math. Letters 17 (2004),193--199. (SCI: 774HN)
16. Xianfa Song and Sining Zheng, Multi-nonlinear interactions in quasilinear reaction-diffusion equations with nonlinear boundary flux, Math. Comput. Modelling 39 (2004), 133--144. (SCI: 780NJ)
17. Sining Zheng, Xianfa Song and Zhaoxin Jiang, Critical Fujita exponents for degenerate parabolic equations coupled via nonlinear boundary conditions, J. Math. Anal. Appl. 298 (2004), 308--324.(SCI: 854QU)
18. Lizhong Zhao, Sining Zheng, Critical exponents and asymptotic estimates of solutions to parabolic systems with localized nonlinear sources, J. Math. Anal. Appl. 292 (2004), 621--635. (SCI: 816LG)
19. Sining Zheng, Xianfa Song, Interactions among multi-nonlinearities in a nonlinear diffusion system with absorptions and nonlinear boundary flux, Nonlinear Anal. 57 (2004), no.4, 519--530. (SCI: 830NY)
20. Xianfa Song, Sining Zheng and Zhaoxin Jiang, Blow-up analysis for a nonlinear diffusion system, Z. Angew. Math. Phys. 56 (2005), 1--10. (SCI: 896IS)
21. Sining Zheng, Fengjie Li, Critical exponents for a reaction-diffusion model with absorptions and coupled boundary flux, Proc. Edinburgh Math. Soc. 48 (2005), 241--252. (SCI: 903LC)
22. Sining Zheng, Bingchen Liu and Fengjie Li, Blow-up rate estimates for a doubly coupled reaction-diffusion system, J. Math. Anal. Appl. 312 (2) (2005), 576--595. (SCI: 968CU)
23. Sining Zheng, Bingchen Liu, A nonlinear diffusion system with convection, Nonlinear Anal. 63 (2005), 123--135. (SCI: 984DA)
24. Chunpeng Wang, Sining Zheng, Critical Fujita exponents of degenerate and singular parabolic equations, Proc. Roy. Soc. Edinburgh A 136 (2006), 415--430. (SCI: 035TT)
25. Sining Zheng, Bingchen Liu and Fengjie Li, Non-simultaneous blow-up for a multi-coupled reaction-diffusion system, Nonlinear Anal. 64 (6) (2006), 1189--1202. (SCI: 014ED)
26. Sining Zheng, Fengjie Li and Bingchen Liu, Asymptotic behavior for a reaction-diffusion equation with inner absorption and boundary flux, Appl. Math. Letters 19 (9) (2006), 942--948. (SCI: 060UT)
27. Peidong Lei, Sining Zheng, Global and non-global weak solutions to a degenerate parabolic system, J. Math. Anal. Appl. 324 (1) (2006), 177--198. (SCI: 096JA)
28. Sining Zheng, Lan Qiao, Non-simultaneous blow-up in a reaction-diffusion system, Appl. Math. Comput. 180 (1) (2006), 309--317. (SCI: 093BK)
29. Sining Zheng, Han Su, A Quasilinear reaction-diffusion system coupled via nonlocal sources, Appl. Math. Comput. 180 (1) (2006), 295--308. (SCI: 093BK)
30. Sining Zheng, Wei Wang, Blow-up rate for a nonlinear diffusion equation, Appl. Math. Letters 19 (12) (2006), 1385--1389. (SCI: 099UE)
31. Jing Liu, Sining Zheng, Second bifurcation for a food-chain model in an un-stirred chemostat, Differential Equations Dynam. Systems 14 (2006), 225--238.
32. Sining Zheng, Bingchen Liu and Fengjie Li, Simultaneous and non-simultaneous blow-up for a cross-coupled parabolic system, J. Math. Anal. Appl. 326 (1) (2007), 414--431. (SCI: 115JN)
33. Sining Zheng, Wei Wang, Critical exponents for a nonlinear diffusion system, Nonlinear Anal. 67 (4) (2007), 1190-1210. (SCI: 173DR)
34. Sining Zheng, Lidong Wang, Blow-up rate and profile for a degenerate parabolic system coupled via nonlocal sources, Comput. Math. Appl. 52 (2006), no. 10-11, 1387--1402. (SCI: 139DT)
35. Fengjie Li, Sining Zheng and Bingchen Liu, Blow-up properties of solutions for a multi-coupled parabolic system, Nonlinear Anal. 68 (2008), 288--303. (SCI: 239RV)
36. Bo Liang, Sining Zheng, Exponential decay to a quantum hydrodynamic model for semiconductors, Nonlinear Anal. RWA 9 (2008), 326--337. (SCI: 265MD)
37. Fengjie Li, Bingchen Liu and Sining Zheng, Simultaneous and non-simultaneous blow-up for heat equations with coupled nonlinear boundary fluxes, Z. Angew. Math. Phys. 58 (2007), 717-735. (SCI: 201FZ)
38. Sining Zheng, Lan Qiao, Non-simultaneous blow-up for heat equations with positive-negative sources and coupled boundary flux, Comm. Pure Appl. Anal. 6 (4) (2007), 1113--1129. (SCI: 215EN)
39. Sining Zheng, Jinhuan Wang, Total versus single point blow-up in heat equations with coupled localized sources, Asymptot. Anal. 51 (2) (2007), 133--156. (SCI: 140TW)
40. Sining Zheng, Linghua Kong, Roles of weight functions in a nonlinear nonlocal parabolic system, Nonlinear Anal. 68 (8) (2008), 2406--2416. (SCI: 296EF)
41. Chunpeng Wang, Sining Zheng and Zejia Wang, Critical Fujita exponents for a class of quasilinear equations with homogeneous Neumann boundary data, Nonlinearity 20 (2007), 1343--1359. (SCI: 169KM)
42. Jing Liu, Xiaodong Liu, Sining Zheng and Yanping Lin, Positive steady state of a food chain system with diffusion, Discrete Cont. Dyn. Syst., Supplement (2007), 667--676. (SCI)
43. Sining Zheng, Wei Wang, Non-simultaneous versus simultaneous quenching in a coupled nonlinear parabolic system, Nonlinear Anal. 69 (7) (2008), 2274--2285. (SCI: 336JE)
44. Linghua Kong, Jinhuan Wang and Sining Zheng, Asymptotic analysis to a parabolic equation with a weighted localized source, Appl. Math. Comput. 197 (2) (2008), 819--827. (SCI: 277ZW)
45. Sining Zheng, Xianfa Song, Quenching rates for heat equations with coupled singular nonlinear boundary Flux, Sci. China Ser. A. 51 (9) (2008), 1631--1643. (SCI: 334WD)
46. Lan Qiao, Sining Zheng, Asymptotic analysis to a coupled nonlinear parabolic system, Front. Math. China 3 (1) (2008), 87--99.
47. Zhaoxin Jiang, Sining Zheng, Critical boundary source exponent in a doubly degenerate parabolic equation, Adv. Nonlinear Stud. 8 (2008), 603--617. (SCI: 330JD)
48. Sining Zheng, Lan Qiao, Non-simultaneous versus simultaneous blow-up for coupled heat equations with positive-negative sources, Appl. Math. Comput. 202 (2008), 141--145. (SCI: 332SP)
49. Sining Zheng, Lan Qiao, Multiple blow-up rates in a coupled heat system with mixed type nonlinearities, Nonlinear Anal. 70 (2009), 2176--2197. (SCI: 416KN)
50. Jinhuan Wang, Linghua Kong and Sining Zheng, Asymptotic analysis for a localized nonlinear diffusion equation, Comput. Math. Appl. 56 (9) (2008), 2294--2304. (SCI: 369ZW)
51. Ruihong Ji, Sining Zheng, Asymptotic estimates to non-global solutions of a multi-coupled parabolic system, Acta Math. Sin. (Engl. Ser.) 24 (10) (2008), 1713--1726. (SCI: 363ID)
52. He Zhang, Linghua Kong, and Sining Zheng, Propagations of singularities in a parabolic system with coupled nonlocal sources, Sci. China Ser. A. 52 (1) (2009), 181--192. (SCI: 420EY)
53. Bo Liang, Sining Zheng, Existence and asymptotic behavior of solutions to a nonlinear parabolic equation of fourth-order, J. Math. Anal. Appl. 348 (2008), 234--243. (SCI: 350CI)
54. Sining Zheng, Chunpeng Wang, Large time behaviour of solutions to a class of quasilinear parabolic equations with convection terms, Nonlinearity 21 (9) (2008), 2179--2200. (SCI: 339KT)
55. Sining Zheng, Jing Ma, Non-simultaneous blow-up in coupled heat equations with multi-nonlinearities, Nonlinear Anal. 70 (12) (2009), 4165--4177. (SCI: 440TA)
56. Linghua Kong, Lizhong Zhao, and Sining Zheng, Asymptotic analysis to parabolic equations with absorptions and coupled localized sources, Acta Math. Sci. Ser. A, in press. (SCI)
57. Ruihong Ji, Sining Zheng, Quenching behavior of solutions to heat equations with coupled boundary singularities, Appl. Math. Compt. 206 (2008), 403--412. (SCI: 373UO)
58. Sining Zheng, Haojie Guo, and Jing Liu, A food chain model for two resources in un-stirred chemostat, Appl. Math. Compt. 206 (2008), 389--402. (SCI: 373UO)
59. Sining Zheng, Ruihong Ji, Multiple absorption-related blow-up rates to a coupled heat system, J. Math. Anal. Appl. 355 (2009), 739--749. (SCI: 444LP)
60. Bingchen Liu, Fengjie Li, and Sining Zheng, Note on a nonlinear diffusion system with convection, Appl. Math. Compt. 214 (1) (2009), 41--47. (SCI)
61. Jinhuan Wang, Linghua Kong, and Sining Zheng, Infinite Fujita exponents for nonlinear diffusion equations with localized sources, Nonlinear Anal. RWA, DOI:10.1016/j.nonrwa.2009.06.006, in press. (SCI)
教学随笔类文章及网址（2002--2008）：
科学发展观是硬道理中的硬道理
---再谈科学发展观之你我他 (大连理工大学报1206期,2009)
赞挑战极限
---感受菲尔普斯奇迹 (大连理工大学报1205期,2009)
http://xiaobao.dlut.edu.cn/show_more.php?doc_id=4773
http://xiaobao.dlut.edu.cn/index.php?release_id=99&page_id=44
赞志愿者精神 (大连理工大学报1195期,2008)
http://xiaobao.dlut.edu.cn/show_more.php?doc_id=4341
http://xiaobao.dlut.edu.cn/index.php?release_id=89&page_id=44
“变换”的魅力---教学随笔 (大连理工大学报1189期,2008)
http://xiaobao.dlut.edu.cn/show_more.php?doc_id=4028
http://xiaobao.dlut.edu.cn/index.php?release_id=82&page_id=44
个性发展：鼓励还是扼杀？(大连理工大学报1186期,2008)
http://xiaobao.dlut.edu.cn/show_more.php?doc_id=3885
http://xiaobao.dlut.edu.cn/show_more.php?tkey=&bkey=&doc_id=3885
http://xiaobao.dlut.edu.cn/index.php?release_id=79&page_id=2
谈精英教育与粗细两类功夫培养 (大连理工大学报1181期,2008)
http://xiaobao.dlut.edu.cn/show_more.php?doc_id=3734
http://xiaobao.dlut.edu.cn/index.php?release_id=74&page_id=2
谈女大学生就业的不对称性 (大连理工大学报1178期,2008)
http://xiaobao.dlut.edu.cn/show_more.php?doc_id=3566
http://xiaobao.dlut.edu.cn/index.php?release_id=71&page_id=44
http://www.cunews.edu.cn/Article/huabei/zhaosheng/200804/27344.html
科学发展观之你我他 (大连理工大学报1176期,2008)
http://xiaobao.dlut.edu.cn/show_more.php?doc_id=3519
http://xiaobao.dlut.edu.cn/index.php?release_id=69&page_id=44
从规定动作与自选动作谈起 (大连理工大学报1173期,2007)
http://xiaobao.dlut.edu.cn/show_more.php?doc_id=3419
http://xiaobao.dlut.edu.cn/index.php?release_id=67&page_id=44
创新并不神秘 (大连理工大学报1169期,2007)
http://xiaobao.dlut.edu.cn/show_more.php?doc_id=3253
http://xiaobao.dlut.edu.cn/index.php?release_id=63&page_id=44
赞勤能补拙 (大连理工大学报1168期,2007)
http://xiaobao.dlut.edu.cn/show_more.php?doc_id=3187
http://xiaobao.dlut.edu.cn/index.php?release_id=62&page_id=44
http://www.cunews.edu.cn/html2006/qcxy/083940905.html
我看和谐校园 (大连理工大学报1157期,2007)
http://xiaobao.dlut.edu.cn/show_more.php?doc_id=2611
http://xiaobao.dlut.edu.cn/index.php?release_id=51&page_id=44
谈诚信与作弊 (大连理工大学报1152期,2006)
http://xiaobao.dlut.edu.cn/show_more.php?doc_id=2284
http://xiaobao.dlut.edu.cn/index.php?release_id=45&page_id=44
校园文明杂感 (大连理工大学报1151期,2006)
http://xiaobao.dlut.edu.cn/show_more.php?doc_id=2241
http://xiaobao.dlut.edu.cn/index.php?release_id=44&page_id=44
学为人师行为世范 (大连理工大学报1146期,2006)
http://xiaobao.dlut.edu.cn/show_more.php?doc_id=1933
演好自身角色把握时代脉搏 (大连理工大学报1134期,2006)
http://xiaobao.dlut.edu.cn/show_more.php?doc_id=1289
http://xiaobao.dlut.edu.cn/index.php?release_id=26&page_id=45
网络阅读短与长 (大连理工大学报1131期,2005)
http://xiaobao.dlut.edu.cn/show_more.php?doc_id=1191
建立充满活力的校内管理与竞争机制 (大连理工大学报1128期,2005)
http://xiaobao.dlut.edu.cn/old/read.asp?id=2847
http://bbs.dlut.edu.cn/bbsanc.php?path=%2Fgroups%2FGROUP_1%2FDoctors_Home%2Fdoc%2FM.1133361950.h0
青春的记忆 (大连理工大学报1116期,2005)
http://xiaobao.dlut.edu.cn/old/read.asp?id=2474
http://www.cunews.edu.cn/baowangxinwen/Print.asp?ArticleID=13637
http://www.cunews.edu.cn/html2006/xbwc/083818844.htm
一位教授的人生情怀 (大连理工大学报1106期,2004)
http://xiaobao.dlut.edu.cn/old/read.asp?id=2274
校庆书怀 (大连理工大学报1092期,2004)
http://xiaobao.dlut.edu.cn/old/read.asp?id=1887
创“名牌”就得严格要求 (大连理工大学报1083期,2003)http://xiaobao.dlut.edu.cn/old/read.asp?id=1620
青春寄语 (《科学家寄语下一代》 270--273 大连出版社ISBN 7-80612-920-0/I.128, 2002)
http://blog.sina.com.cn/s/blog_4b5fac3b010008wr.html
科研成果及所受奖励:
政府特殊津贴
宝钢教育基金优秀教师特等奖（2000）
大连理工大学首届教学名师奖（2003）
辽宁省优秀教学成果一等奖（2002）
辽宁省优秀教学成果一等奖（2005）
辽宁省自然科学学术成果一等奖（2003）
辽宁省自然科学学术成果一等奖（2007）
辽宁省教学名师奖（2007）
在读硕士、博士人数:
6，7
已毕业硕士博士人数:
23，12
以上资料最后修改时间:
2009-6-25
==>修改资料登陆
办公室电话:0411-84708351-8032
电子邮箱地址:snzheng@dlut.edu.cn
主要学历及工作经历:
1946年11月生于四川重庆，祖籍河南罗山。
1970年毕业于北京大学数学力学系。
在吉林大学数学系获理学硕士（1981）和博士（1998）学位。导师：伍卓群教授。
1981年起在大连理工大学应用数学系任教，先后任讲师（1983）， 副教授（1987），教授（1991），系主任（1998--2002），教学名师（2003）。
1984--85 访问美国密西根大学 (University of Michigan) 数学系 J. Smoller, 1995--95 访问美国加州理工学院 (California Institute of Technology) 应用数学系 T.Y. Hou.
主要学术及社会兼职:
美国数学会会员（1986--）
美国“数学评论”(Mathematical Reviews) 评论员（1987--）
美国“国际微分方程杂志”(International Journal of Differential Equations) 编委（2008--）
“数学研究与评论”(Journal of Mathematical Research and Exposition) 编委（1999--2005）
“大连理工大学学报”(Journal of Dalian University of Technology) 编委 （2005--）
研究领域（研究课题）:
非线性科学是当代科学最重要的研究领域之一，其核心是关于非线性偏微分方程的研究。经典线性模型只是真实问题的理想性简化，只能局部地刻画物质运动及物质运动的量变过程；凡涉及质变现象，或在大的（时间或空间）范围考虑问题时，必定与非线性模型打交道。世界因为非线性而精彩。非线性导致物质世界的多样性，造就丰富多彩的大千世界。非线性科学极大地刺激了现代数学的发展，成为当代数学发展的重要推动力。人们对非线性的研究是从低级到高级、从简单到复杂逐步发展的。例如，从半线性到拟线性、完全非线性；从单个方程到方程组；从非退化到退化；从弱耦合到强耦合，等等。本人主要研究领域集中于非线性发展方程，特别是具有广泛实际背景的非线性抛物方程（组），以及非线性双曲守恒律组等。
指导硕、博士生研究方向:
非线性偏微分方程的理论与应用。 重点是对具有广泛实际背景的非线性抛物方程（组）等非线性发展方程（组）的研究，例如：复杂抛物系统中多重非线性之间的相互作用、解的奇性的产生与传播等。
出版著作和论文:
科研成果主要分布于以下几个方向：
（1）关于mutualist多种群反应扩散模型的研究（1986--1994）：为最早进行这类问题研究的学者之一，曾有五大洲二十多个国家的同行来函索取论文抽印本，具有广泛国际影响，其中1987年给出的一个模型和结果（J. Math. Anal. Appl. 124 (1987), 254--280）20年来被国内外同行大量引用至今。
（2）关于非线性超抛物方程研究（1984，与伍卓群合作）：为关于非线性超抛物方程为数不多的工作之一，直到2005年仍受到法国数学家 Kirane等人关注。
（3）关于非线性双曲守恒律组广义解的稳定性和唯一性的研究（1985--1986）：改进和推广了著名数学家DiPerna的重要工作，得到DiPerna本人的肯定与好评。
（4）关于反应扩散方程组弱不变区域理论的研究（1994--2000）：改造经典不变区域理论，引进弱不变区域新概念并建立有界弱不变区域的判定定理。新框架可容纳相当广泛的反应扩散方程组，将解的整体存在性证明大大简化。
（5）关于反应扩散方程组中临界增长性的研究（1996--2001）：引起该领域同行关注，被美国科学院院士 Serrin评价为“椭圆与抛物方程领域的重要贡献” (“an important contribution to the subject of semilinear elliptic and parabolic equations”)，该文的单篇SCI引用已超过30次（含自引）。
（6）关于多重非线性抛物方程组的临界指标与奇性传播的研究（2002--至今）：为近五年来的主要研究领域。以所引入的特征代数方程组这一新框架，得到关于多重非线性机制之间相互作用与奇性生成规律的清晰刻画，在多重非线性抛物方程组临界指标与奇性解渐近分析方面所取得了一系列特色鲜明的研究成果，发表于十多种重要国外学术期刊。
1987年起担任美国“数学评论”(Mathematical Reviews) 评论员，已发表数学评论180余则。
主持（已完成及正承担）国家自然科学基金项目：
“反应扩散方程组弱不变区域的理论与数学生态学模型”（19371017）
“关于反应扩散方程组临界增长性的分析及其数值模拟”（19871008）
“多重非线性抛物方程组的临界指标与解的奇性传播”（10471013）
“多重非线性抛物方程组奇性解渐近分析的几个新问题”（10771024）
selected Publications （1986--2009 部分论文目录，限于列举重要国际数学期刊论文）：
1. Sining Zheng, A necessary condition for $L^2$ stability of quasilinear conservation laws, Proc. Amer. Math. Soc. 96 (1986), no. 3, 495--496. (SCI)
2. Sining Zheng, A reaction-diffusion system of a predator-prey-mutualist model, Math. Biosci. 78 (1986), no. 2, 217--245. (SCI)
3. Sining Zheng, A reaction-diffusion system of a competitor-competitor-mutualist model, J. Math. Anal. Appl. 124 (1987), no. 1, 254--280. (SCI)
4. Sining Zheng, A note on asymptotic behavior of solutions to a heterogeneous nonlinear reaction-diffusion system, Proc. Amer. Math. Soc. 98 (1986), no. 1, 103--108. (SCI)
5. Sining Zheng, Global boundedness of solutions to a reaction-diffusion system, Math. Methods Appl. Sci. 22 (1999), no. 1, 43--54. (SCI:156QE)
6. Sining Zheng, Nonexistence of positive solutions to a semilinear elliptic system and blow-up estimates for a reaction-diffusion system, J. Math. Anal. Appl. 232 (1999), no. 2, 293--311. (SCI: 184VW)
7. Sining Zheng, Global existence and global non-existence of solutions to a reaction-diffusion system, Nonlinear Anal. 39 (2000), no. 3, 327--340. (SCI: 257PF )
8. Sining Zheng, Weakly invariant regions for reaction-diffusion systems and applications, Proc. Roy. Soc. Edinburgh Sect. A 130 (2000), no. 5, 1165--1180. (SCI: 379DW)
9. Sining Zheng, Lizhong Zhao and Feng Chen, Blow-up rates in a parabolic system of ignition model, Nonlinear Anal. 51 (2002), no. 4. 663--672. (SCI: 592NK)
10. Lizhong Zhao, Sining Zheng, Blow-up estimates for system of heat equations coupled via nonlinear boundary flux, Nonlinear Anal. 54 (2003), no. 2, 251--259. (SCI: 683BY)
11. Xianfa Song, Sining Zheng, Blow-up and blow-up rate for a reaction-diffusion model with multiple nonlinearities, Nonlinear Anal. 54 (2003), no. 2, 279--289. (SCI: 683BY)
12. Xianfa Song, Sining Zheng, Blow-up analysis for a quasilinear parabolic system with multi-coupled nonlinearities, J. Math. Anal. Appl. 281 (2003), no. 2, 739--756. (SCI: 691EF)
13. Sining Zheng, Jing Liu, Coexistence solutions for a reaction–diffusion system of un-stirred chemostat model, Appl. Math. Comput. 145 (2003), no. 2-3, 579--590. (SCI: 726CF)
14. Sining Zheng, Wenmiao Liang and Xianfa Song, Critical exponents in a parabolic system with inner absorption and coupled nonlinear boundary flux, Appl. Math. Comput. 154 (2004), no.2, 567--581.(SCI: 638KW)
15. Zhaoxin Jiang, Sining Zheng and Xianfa Song, Blow-up analysis for a nonlinear diffusion equation with nonlinear boundary condition, Appl. Math. Letters 17 (2004),193--199. (SCI: 774HN)
16. Xianfa Song and Sining Zheng, Multi-nonlinear interactions in quasilinear reaction-diffusion equations with nonlinear boundary flux, Math. Comput. Modelling 39 (2004), 133--144. (SCI: 780NJ)
17. Sining Zheng, Xianfa Song and Zhaoxin Jiang, Critical Fujita exponents for degenerate parabolic equations coupled via nonlinear boundary conditions, J. Math. Anal. Appl. 298 (2004), 308--324.(SCI: 854QU)
18. Lizhong Zhao, Sining Zheng, Critical exponents and asymptotic estimates of solutions to parabolic systems with localized nonlinear sources, J. Math. Anal. Appl. 292 (2004), 621--635. (SCI: 816LG)
19. Sining Zheng, Xianfa Song, Interactions among multi-nonlinearities in a nonlinear diffusion system with absorptions and nonlinear boundary flux, Nonlinear Anal. 57 (2004), no.4, 519--530. (SCI: 830NY)
20. Xianfa Song, Sining Zheng and Zhaoxin Jiang, Blow-up analysis for a nonlinear diffusion system, Z. Angew. Math. Phys. 56 (2005), 1--10. (SCI: 896IS)
21. Sining Zheng, Fengjie Li, Critical exponents for a reaction-diffusion model with absorptions and coupled boundary flux, Proc. Edinburgh Math. Soc. 48 (2005), 241--252. (SCI: 903LC)
22. Sining Zheng, Bingchen Liu and Fengjie Li, Blow-up rate estimates for a doubly coupled reaction-diffusion system, J. Math. Anal. Appl. 312 (2) (2005), 576--595. (SCI: 968CU)
23. Sining Zheng, Bingchen Liu, A nonlinear diffusion system with convection, Nonlinear Anal. 63 (2005), 123--135. (SCI: 984DA)
24. Chunpeng Wang, Sining Zheng, Critical Fujita exponents of degenerate and singular parabolic equations, Proc. Roy. Soc. Edinburgh A 136 (2006), 415--430. (SCI: 035TT)
25. Sining Zheng, Bingchen Liu and Fengjie Li, Non-simultaneous blow-up for a multi-coupled reaction-diffusion system, Nonlinear Anal. 64 (6) (2006), 1189--1202. (SCI: 014ED)
26. Sining Zheng, Fengjie Li and Bingchen Liu, Asymptotic behavior for a reaction-diffusion equation with inner absorption and boundary flux, Appl. Math. Letters 19 (9) (2006), 942--948. (SCI: 060UT)
27. Peidong Lei, Sining Zheng, Global and non-global weak solutions to a degenerate parabolic system, J. Math. Anal. Appl. 324 (1) (2006), 177--198. (SCI: 096JA)
28. Sining Zheng, Lan Qiao, Non-simultaneous blow-up in a reaction-diffusion system, Appl. Math. Comput. 180 (1) (2006), 309--317. (SCI: 093BK)
29. Sining Zheng, Han Su, A Quasilinear reaction-diffusion system coupled via nonlocal sources, Appl. Math. Comput. 180 (1) (2006), 295--308. (SCI: 093BK)
30. Sining Zheng, Wei Wang, Blow-up rate for a nonlinear diffusion equation, Appl. Math. Letters 19 (12) (2006), 1385--1389. (SCI: 099UE)
31. Jing Liu, Sining Zheng, Second bifurcation for a food-chain model in an un-stirred chemostat, Differential Equations Dynam. Systems 14 (2006), 225--238.
32. Sining Zheng, Bingchen Liu and Fengjie Li, Simultaneous and non-simultaneous blow-up for a cross-coupled parabolic system, J. Math. Anal. Appl. 326 (1) (2007), 414--431. (SCI: 115JN)
33. Sining Zheng, Wei Wang, Critical exponents for a nonlinear diffusion system, Nonlinear Anal. 67 (4) (2007), 1190-1210. (SCI: 173DR)
34. Sining Zheng, Lidong Wang, Blow-up rate and profile for a degenerate parabolic system coupled via nonlocal sources, Comput. Math. Appl. 52 (2006), no. 10-11, 1387--1402. (SCI: 139DT)
35. Fengjie Li, Sining Zheng and Bingchen Liu, Blow-up properties of solutions for a multi-coupled parabolic system, Nonlinear Anal. 68 (2008), 288--303. (SCI: 239RV)
36. Bo Liang, Sining Zheng, Exponential decay to a quantum hydrodynamic model for semiconductors, Nonlinear Anal. RWA 9 (2008), 326--337. (SCI: 265MD)
37. Fengjie Li, Bingchen Liu and Sining Zheng, Simultaneous and non-simultaneous blow-up for heat equations with coupled nonlinear boundary fluxes, Z. Angew. Math. Phys. 58 (2007), 717-735. (SCI: 201FZ)
38. Sining Zheng, Lan Qiao, Non-simultaneous blow-up for heat equations with positive-negative sources and coupled boundary flux, Comm. Pure Appl. Anal. 6 (4) (2007), 1113--1129. (SCI: 215EN)
39. Sining Zheng, Jinhuan Wang, Total versus single point blow-up in heat equations with coupled localized sources, Asymptot. Anal. 51 (2) (2007), 133--156. (SCI: 140TW)
40. Sining Zheng, Linghua Kong, Roles of weight functions in a nonlinear nonlocal parabolic system, Nonlinear Anal. 68 (8) (2008), 2406--2416. (SCI: 296EF)
41. Chunpeng Wang, Sining Zheng and Zejia Wang, Critical Fujita exponents for a class of quasilinear equations with homogeneous Neumann boundary data, Nonlinearity 20 (2007), 1343--1359. (SCI: 169KM)
42. Jing Liu, Xiaodong Liu, Sining Zheng and Yanping Lin, Positive steady state of a food chain system with diffusion, Discrete Cont. Dyn. Syst., Supplement (2007), 667--676. (SCI)
43. Sining Zheng, Wei Wang, Non-simultaneous versus simultaneous quenching in a coupled nonlinear parabolic system, Nonlinear Anal. 69 (7) (2008), 2274--2285. (SCI: 336JE)
44. Linghua Kong, Jinhuan Wang and Sining Zheng, Asymptotic analysis to a parabolic equation with a weighted localized source, Appl. Math. Comput. 197 (2) (2008), 819--827. (SCI: 277ZW)
45. Sining Zheng, Xianfa Song, Quenching rates for heat equations with coupled singular nonlinear boundary Flux, Sci. China Ser. A. 51 (9) (2008), 1631--1643. (SCI: 334WD)
46. Lan Qiao, Sining Zheng, Asymptotic analysis to a coupled nonlinear parabolic system, Front. Math. China 3 (1) (2008), 87--99.
47. Zhaoxin Jiang, Sining Zheng, Critical boundary source exponent in a doubly degenerate parabolic equation, Adv. Nonlinear Stud. 8 (2008), 603--617. (SCI: 330JD)
48. Sining Zheng, Lan Qiao, Non-simultaneous versus simultaneous blow-up for coupled heat equations with positive-negative sources, Appl. Math. Comput. 202 (2008), 141--145. (SCI: 332SP)
49. Sining Zheng, Lan Qiao, Multiple blow-up rates in a coupled heat system with mixed type nonlinearities, Nonlinear Anal. 70 (2009), 2176--2197. (SCI: 416KN)
50. Jinhuan Wang, Linghua Kong and Sining Zheng, Asymptotic analysis for a localized nonlinear diffusion equation, Comput. Math. Appl. 56 (9) (2008), 2294--2304. (SCI: 369ZW)
51. Ruihong Ji, Sining Zheng, Asymptotic estimates to non-global solutions of a multi-coupled parabolic system, Acta Math. Sin. (Engl. Ser.) 24 (10) (2008), 1713--1726. (SCI: 363ID)
52. He Zhang, Linghua Kong, and Sining Zheng, Propagations of singularities in a parabolic system with coupled nonlocal sources, Sci. China Ser. A. 52 (1) (2009), 181--192. (SCI: 420EY)
53. Bo Liang, Sining Zheng, Existence and asymptotic behavior of solutions to a nonlinear parabolic equation of fourth-order, J. Math. Anal. Appl. 348 (2008), 234--243. (SCI: 350CI)
54. Sining Zheng, Chunpeng Wang, Large time behaviour of solutions to a class of quasilinear parabolic equations with convection terms, Nonlinearity 21 (9) (2008), 2179--2200. (SCI: 339KT)
55. Sining Zheng, Jing Ma, Non-simultaneous blow-up in coupled heat equations with multi-nonlinearities, Nonlinear Anal. 70 (12) (2009), 4165--4177. (SCI: 440TA)
56. Linghua Kong, Lizhong Zhao, and Sining Zheng, Asymptotic analysis to parabolic equations with absorptions and coupled localized sources, Acta Math. Sci. Ser. A, in press. (SCI)
57. Ruihong Ji, Sining Zheng, Quenching behavior of solutions to heat equations with coupled boundary singularities, Appl. Math. Compt. 206 (2008), 403--412. (SCI: 373UO)
58. Sining Zheng, Haojie Guo, and Jing Liu, A food chain model for two resources in un-stirred chemostat, Appl. Math. Compt. 206 (2008), 389--402. (SCI: 373UO)
59. Sining Zheng, Ruihong Ji, Multiple absorption-related blow-up rates to a coupled heat system, J. Math. Anal. Appl. 355 (2009), 739--749. (SCI: 444LP)
60. Bingchen Liu, Fengjie Li, and Sining Zheng, Note on a nonlinear diffusion system with convection, Appl. Math. Compt. 214 (1) (2009), 41--47. (SCI)
61. Jinhuan Wang, Linghua Kong, and Sining Zheng, Infinite Fujita exponents for nonlinear diffusion equations with localized sources, Nonlinear Anal. RWA, DOI:10.1016/j.nonrwa.2009.06.006, in press. (SCI)
教学随笔类文章及网址（2002--2008）：
科学发展观是硬道理中的硬道理
---再谈科学发展观之你我他 (大连理工大学报1206期,2009)
赞挑战极限
---感受菲尔普斯奇迹 (大连理工大学报1205期,2009)
http://xiaobao.dlut.edu.cn/show_more.php?doc_id=4773
http://xiaobao.dlut.edu.cn/index.php?release_id=99&page_id=44
赞志愿者精神 (大连理工大学报1195期,2008)
http://xiaobao.dlut.edu.cn/show_more.php?doc_id=4341
http://xiaobao.dlut.edu.cn/index.php?release_id=89&page_id=44
“变换”的魅力---教学随笔 (大连理工大学报1189期,2008)
http://xiaobao.dlut.edu.cn/show_more.php?doc_id=4028
http://xiaobao.dlut.edu.cn/index.php?release_id=82&page_id=44
个性发展：鼓励还是扼杀？(大连理工大学报1186期,2008)
http://xiaobao.dlut.edu.cn/show_more.php?doc_id=3885
http://xiaobao.dlut.edu.cn/show_more.php?tkey=&bkey=&doc_id=3885
http://xiaobao.dlut.edu.cn/index.php?release_id=79&page_id=2
谈精英教育与粗细两类功夫培养 (大连理工大学报1181期,2008)
http://xiaobao.dlut.edu.cn/show_more.php?doc_id=3734
http://xiaobao.dlut.edu.cn/index.php?release_id=74&page_id=2
谈女大学生就业的不对称性 (大连理工大学报1178期,2008)
http://xiaobao.dlut.edu.cn/show_more.php?doc_id=3566
http://xiaobao.dlut.edu.cn/index.php?release_id=71&page_id=44
http://www.cunews.edu.cn/Article/huabei/zhaosheng/200804/27344.html
科学发展观之你我他 (大连理工大学报1176期,2008)
http://xiaobao.dlut.edu.cn/show_more.php?doc_id=3519
http://xiaobao.dlut.edu.cn/index.php?release_id=69&page_id=44
从规定动作与自选动作谈起 (大连理工大学报1173期,2007)
http://xiaobao.dlut.edu.cn/show_more.php?doc_id=3419
http://xiaobao.dlut.edu.cn/index.php?release_id=67&page_id=44
创新并不神秘 (大连理工大学报1169期,2007)
http://xiaobao.dlut.edu.cn/show_more.php?doc_id=3253
http://xiaobao.dlut.edu.cn/index.php?release_id=63&page_id=44
赞勤能补拙 (大连理工大学报1168期,2007)
http://xiaobao.dlut.edu.cn/show_more.php?doc_id=3187
http://xiaobao.dlut.edu.cn/index.php?release_id=62&page_id=44
http://www.cunews.edu.cn/html2006/qcxy/083940905.html
我看和谐校园 (大连理工大学报1157期,2007)
http://xiaobao.dlut.edu.cn/show_more.php?doc_id=2611
http://xiaobao.dlut.edu.cn/index.php?release_id=51&page_id=44
谈诚信与作弊 (大连理工大学报1152期,2006)
http://xiaobao.dlut.edu.cn/show_more.php?doc_id=2284
http://xiaobao.dlut.edu.cn/index.php?release_id=45&page_id=44
校园文明杂感 (大连理工大学报1151期,2006)
http://xiaobao.dlut.edu.cn/show_more.php?doc_id=2241
http://xiaobao.dlut.edu.cn/index.php?release_id=44&page_id=44
学为人师行为世范 (大连理工大学报1146期,2006)
http://xiaobao.dlut.edu.cn/show_more.php?doc_id=1933
演好自身角色把握时代脉搏 (大连理工大学报1134期,2006)
http://xiaobao.dlut.edu.cn/show_more.php?doc_id=1289
http://xiaobao.dlut.edu.cn/index.php?release_id=26&page_id=45
网络阅读短与长 (大连理工大学报1131期,2005)
http://xiaobao.dlut.edu.cn/show_more.php?doc_id=1191
建立充满活力的校内管理与竞争机制 (大连理工大学报1128期,2005)
http://xiaobao.dlut.edu.cn/old/read.asp?id=2847
http://bbs.dlut.edu.cn/bbsanc.php?path=%2Fgroups%2FGROUP_1%2FDoctors_Home%2Fdoc%2FM.1133361950.h0
青春的记忆 (大连理工大学报1116期,2005)
http://xiaobao.dlut.edu.cn/old/read.asp?id=2474
http://www.cunews.edu.cn/baowangxinwen/Print.asp?ArticleID=13637
http://www.cunews.edu.cn/html2006/xbwc/083818844.htm
一位教授的人生情怀 (大连理工大学报1106期,2004)
http://xiaobao.dlut.edu.cn/old/read.asp?id=2274
校庆书怀 (大连理工大学报1092期,2004)
http://xiaobao.dlut.edu.cn/old/read.asp?id=1887
创“名牌”就得严格要求 (大连理工大学报1083期,2003)http://xiaobao.dlut.edu.cn/old/read.asp?id=1620
青春寄语 (《科学家寄语下一代》 270--273 大连出版社ISBN 7-80612-920-0/I.128, 2002)
http://blog.sina.com.cn/s/blog_4b5fac3b010008wr.html
科研成果及所受奖励:
政府特殊津贴
宝钢教育基金优秀教师特等奖（2000）
大连理工大学首届教学名师奖（2003）
辽宁省优秀教学成果一等奖（2002）
辽宁省优秀教学成果一等奖（2005）
辽宁省自然科学学术成果一等奖（2003）
辽宁省自然科学学术成果一等奖（2007）
辽宁省教学名师奖（2007）
在读硕士、博士人数:
6，7
已毕业硕士博士人数:
23，12
以上资料最后修改时间:
2009-6-25
==>修改资料登陆
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