沈春
日期:2015-10-22 来源: 阅读:

性别:男

籍贯:安徽省池州市

学历:博士研究生

学位:博士

职称:教授

研究领域:偏微分方程

E-Mail:shenchun3641@sian.com

通信地址:山东省烟台市至尊全讯白菜官方网站 264025

招生专业方向:

类别:硕士研究生

学院:至尊全讯白菜官方网站

专业:应用数学

学习及工作经历:

1993年8月-1997年7月于浙江大学应用数学系本科毕业,获学士学位。

1997年8月-2001年8月于池州学院数学系任助教。

2001年8月-2006年3月于上海大学应用数学和力学研究所硕博连读,获博士学位。

2006年4月至今于至尊全讯白菜官方网站工作,2007年12月获聘副教授。

2008年2月-2010年10月在中科院武汉物理与数学研究所从事博士后研究工作。

2014年12月获聘教授。

近年来承担的教学及科研项目:

承担科研项目

1.双曲守恒律系统中的奇异波研究,国家自然科学基金应急管理项目,执行时间:2015.01-2016.12, 批准号:11441002,金额:30万,项目负责人;

2.二类二维双曲守恒律方程组Riemann解的研究,国家自然科学基金青年基金,执行时间:2011.01-2013.12, 批准号:11001116,金额:18万, 项目负责人;

3.带有源汇项和间断系数的双曲守恒律系统研究,山东省自然科学基金面上项目,执行时间:2015.01-2017.12, 批准号:ZR2014AM024,金额:13万,项目负责人;

4.大气科学和生物化学中的偏微分方程,山东省自然科学基金专项基金,执行时间:2011.01-2013.12, 批准号:ZR2010AL012,金额:4万,项目负责人;

5.带有间断系数的双曲守恒律的黎曼问题,山东省高等学校科技项目发展计划,执行时间:2011.07-2014.06, 批准号:J11LA03,金额:5万,项目负责人;

6.双曲守恒律的整体Riemann解及其稳定性分析,国家自然科学基金面上项目,执行时间:2013.01-2016.12, 批准号:11271176,金额:50万,第二位;

7.非线性双曲守恒律中的燃烧问题和狄拉克激波问题,国家自然科学基金青年基金,执行时间:2010.01-2012.12, 批准号:10901077,金额:17万, 第二位;

8.双曲守恒律中的若干问题研究,国家自然科学基金面上项目,执行时间:2009.01-2011.12, 批准号:10871199,金额:26万, 第四位;

近年来获得奖励情况和荣誉称号:

1. 双曲型偏微分方程组解的性质研究及其应用 2014年山东高等学校优秀科研成果二等奖(第一位)

2. 双曲守恒律方程组中燃烧问题和间断流问题的研究 2013年山东高等学校优秀科研成果三等奖(第二位)

3. 双曲守恒律方程组解的奇异性质研究 2012年山东高等学校优秀科研成果三等奖(第一位)

4. 摄动理论及其在微分方程中的应用 2011年山东高等学校优秀科研成果一等奖(第三位)

5. 非线性偏微分方程的定性理论研 2010年山东高等学校优秀科研成果三等奖(第二位)

6. 大气科学和燃烧理论中的非线性双曲型方程组 2007年山东高等学校优秀科研成果三等奖(第一位)

学校及社会兼职:

国际数学专业杂志审稿工作

主讲课程:

研究生课程:偏微分方程概论,激波和反应扩散方程,数学物理方程

本科生课程:复变函数、泛函分析、实变函数,概率论与数理统计A

近年来取得的代表性成果:

1. Chun Shen, Meina Sun, A distributional product approach to the delta shock wave solution for the one-dimensional zero-pressure gas dynamics system, International Journal of Non-linear Mechanics, 105 (2018) , 105-112. (SCI)

2. Chun Shen, Delta shock wave solution for a symmetric Keyfitz-Kranzer system, Applied Mathematics Letters, 77 (2018) , 35-43. (SCI)

3. Chun Shen, Wancheng Sheng, Meina Sun, The asymptotic limits of solutions to the Riemann problem for the scaled Leroux system, Communications on Pure and Applied Analysis , 17 (2018) , 391-411. (SCI)

4. Meizi Tong, Chun Shen, Xiuli Lin, The asymptotic limits of Riemann solutions for the isentropic extended Chaplygin gas dynamic system with the vanishing pressure, Boundary Value Problems, 2018(2018), No.144, pp. 1-20.

5. Meizi Tong, Chun Shen, The limits of Riemann solutions for the isentropic Euler system with extended Chaplygin gas, Applicable Analysis, accept for publication (SCI)

6. Pengyan Wang, Chun Shen, Xiuli Lin, Construction of global solutions for a symmetric system of Keyfitz-Kranzer type with three piecewise constant states, Advances in Difference Equations , 2019(2019), No.69, pp. 1-18. (SCI)

7. Yuhao Jiang, Chun Shen, The perturbed Riemann problem for special Keyfitz-Kranzer system with three piecewise constant states, Advance in Mathematical Physics, Volume 2017, Article ID 3276182, 12 pages.

8. Chun Shen, The Riemann problem for the pressureless Euler system with the Coulomb-like friction term, IMA Journal of Applied Mathematics, 81 (2016) , 76-99. (SCI)

9.Chun Shen, The Riemann problem for the Chaplygin gas equations with the source term, Z. Angew. Math. Mech., 96(2016) , 681-695. (SCI)

10. Chun Shen, Meina Sun, Stability analysis of Riemann solutions for scalar conservation laws with Dirac measure source term, Acta Mathematicae Applicatae Sinica, English Series, accept for publication (SCI)

11. Ting Zhang, Chun Shen, The shock wave solution to the Riemann problem for the Burgers equation with the linear forcing term, Applicable Analysis, 95(2016), 283-302. (SCI)

12. Xuefeng Wei,Chun Shen, Structural stability of Riemann solutions for strictly hyperbolic systems with three piecewise constant states, Electronic Journal of Differential Equations, Vol. 2016 (2016), No. 320, pp. 1-25. (SCI)

13. Xiumei Li, Chun Shen, The delta standing wave solution for the linear scalar conservation law with discontinuous coefficients using a self-similar viscous regularization, Bulletin of the Korean Mathematical Society, 52(2015), 1945-1962. (SCI)

14. Chun Shen, Meina Sun, Instability of Riemann solutions to a scalar conservation law with discontinuous flux, Z.Angew.Math.Phys., 66(2015), 499-515. (SCI)

15. Chun Shen, The asymptotic behaviors of solutions to the perturbed Riemann problem near the singular curve for the chromatography system, Journal of Nonlinear Mathematical Physics, 22 (2015),76-101. (SCI)

16. Chun Shen, On the Riemann problem for a two-dimensional quasilinear hyperbolic system, Electronic Journal of Differential Equations, Vol. 2015 (2015), No. 237, pp. 1-13. (SCI)

17. Chun Shen, On a regularization of a scalar conservation law with discontinuous coefficients, Journal of Mathematical Physics, 55(3)(2014),031502 (15 pages). (SCI)

18. Geng Lai, Chun Shen, Characteristic decompositions and boundary value problems for two-dimensional steady relativistic Euler equations, Mathematical Methods in the Applied Sciences, 37(2014),136-147.(SCI)

19. Ting Zhang, Chun Shen, Regularization of the shock wave solution to the relativistic Burgers equation, Abstract and Applied Analysis, Volume 2014, Article ID 178672, 10 pages. (SCI)

20. Chun Shen, Meina Sun, Wave interactions and stability of the Riemann solutions for a scalar conservation law with a discontinuous flux function, Z.Angew.Math.Phys., 64(2013),1025-1056. (SCI)

21. Chun Shen, Meina Sun, The perturbation on initial binding energy for a Majda-CJ combustion model, Applicable Analysis, 92(2013),2115-2126. (SCI)

22. Xiumei Li, Chun Shen, Viscous regularization of delta shock wave for a simplified chromatography system, Abstract and Applied Analysis, Volume 2013, Article ID 893465, 10 pages. (SCI)

23. Chun Shen, Meina Sun, The bifurcation phenomenon for scalar conservation laws with discontinuous flux functions, Acta Applicandae Mathematicae, 121(2012),69-80. (SCI)

24. Chun Shen, Structural stability of solutions to the Riemann problem for a scalar conservation law, J.Math.Anal.Appl., 389(2012),1105-1116. (SCI)

25. Chun Shen, Meina Sun,Zhen Wang, Global structure of Riemann solutions to a system of two-dimensional hyperbolic conservation laws, Nonlinear Analysis: TMA, 74(2011),4754-4770. (SCI)

26. Chun Shen, The limits of Riemann solutions to the isentropic magnetogasdynamics, Applied Mathematics Letters, 24(2011),1124-1129. (SCI)

27. Chun Shen, Meina Sun, Formation of delta shocks and vacuum states in the vanishing pressure limit of Riemann solutions to the perturbed Aw-Rascle model, Journal of Differential Equations, 249(2010),3024-3051. (SCI)

28. Chun Shen, Meina Sun, Zhen Wang, Limit relations for three simple hyperbolic systems of conservation laws, Mathematical Methods in the Applied Sciences, 33(2010),1317-1330. (SCI)

29. Chun Shen, Meina Sun, Stability of the Riemann solutions for a nonstrictly hyperbolic system of conservation laws, Nonlinear Analysis:TMA , 73(2010),3284-3294. (SCI)

30. Chun Shen, Wave interactions and stability of the Riemann solutions for the chromatography equations, J.Math.Anal.Appl.,365(2010),609-618. (SCI)

31. Chun Shen, Meina Sun, Interactions of delta shock waves for the transport equations with split delta functions, J.Math.Anal.Appl., 351(2009)747-755. (SCI)

32. Meina Sun, Chun Shen, On the Riemann problem for 2-D compressible Euler equations in three pieces, Nonlinear Analysis:TMA, 70(2009),3773-3780. (SCI)

33. Chun Shen, Meina Sun, The Riemann problem for pressure-gradient system in three pieces, Applied Mathematics Letters,22(2009),453-458. (SCI)

34. Chun Shen, Meina Sun, On the neutral Hermite product of the distributions, Integral Transforms and Special Functions, 2008,19(6),387-398. (SCI)

35. Wei-hui Shi, Chun Shen,Yue-peng Wang, Analytic solution of basic equations of atmospheric movement, Applied Mathematics and Mechanics, 2007,28(3),385-394. (SCI)

36. Chun Shen, Yue-peng Wang, Wei-hui Shi, Stability of system of two–dimensional non-hydrostatic revolving fluids, Applied Mathematics and Mechanics, 2006,27(3),317-325. (SCI)

37. Chun Shen, Wei-hui Shi, General Cauchy problem for the linear shallow-water equations on an equatorial Beta-plane, Journal of Hydrodynamics, Series B 2006,18(3),303-309. (SCI)

近年来指导学生情况:

所带学生:李秀梅 2011级研究生;

张婷 2012级研究生;

魏雪峰 2013级研究生;

纪鹏鹏 2014级研究生;

姜玉浩 李忠同 2015级研究生;

童美姿 2016级研究生;

李双榕 王鹏雁 2017级研究生;

谷慧慧 2018级研究生。

其中2011级研究生李秀梅获得2013年度国家奖学金,2014年毕业研究生优秀科研成果一等奖以及2014年度校级优秀硕士学位论文,现在山东省郓城一中工作。2012级研究生张婷获得2015年毕业研究生优秀科研成果二等奖,现在上海大学攻读博士研究生。2014级研究生纪鹏鹏获得2016年度国家奖学金。

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