严国政-华中师范大学数学学院中文站

严国政

English Version (英文版)

职称教授
办公室六号楼M504
邮箱yangz@mail.ccnu.edu.cn

个人简介

开设课程

数学分析（本科生），常微分方程（本科生），偏微分方程现代理论2（研究生）。

1．散射及逆散射问题的研究（Direct and inverse scattering problems）
2．偏微分方程及其应用(PDE and their applications)

研究方向

非线性偏微分方程及应用

教育经历

1996/06 – 1999/10  新加坡国立大学，数学系, 博士。
1989/09 – 1992/06  中国科学院, 武汉物理与数学研究所, 硕士。
1982/09 – 1986/06  华中师范大学，数学系，学士。

工作经历

1986.6．-- 1996.9． 在中国科学院武汉数理所从事偏微分方程的研究工作。
1999.10．-- 至今   在华中师范大学数学与统计学学院，数学与应用数学系从事教学和科研工作。教授，博士生导师。
2000年5月 在新加坡国立大学数学系作短期访问研究。
2000年12月--2002年5月 在英国考文垂大学（Coventry University）做博士后研究。

研究成果

2018年发表论文

 1. Meiman Sun and Guozheng Yan, Discreteness of the exterior  
    transmission eigenvalues, Acta Mathematica Scientia, 38B(1), 2018, 
    110-124.
2. Jun Guo, Qinghua Wu and Guozheng Yan, The factorization method for
   cracks in elastic scattering, Inverse Problems and Imaging,
   V.12, N.2, 2018, 349-371.
3. Jun Guo and Guozheng Yan, The  inverse scattering problem for 
   partially penetrable obstacles, Applicable Analysis, 2018, Vol.97, 
   No.9, 1549--1564.
4. Yan Wang, Jun Guo and Guozheng Yan, The factorization method for the 
   inverse obstacle scattering problem with oblique derivative boundary 
   condition,IMA Journal of Applied Mathematics, 2018, 83, 283--301.
5. Jun Guo, Di Ning, Guozheng Yan and Qinghua Wu, Reconstruction of a 
   penetrable cavity and the external obstacle, Applicable Analysis，
   2018, Vol.97, No.10, 1730--1750. 

2017年发表论文

1. Jun Guo, Guozheng Yan and J. Zhou, The direct and inverse problem
   for an inclusion within a heat-conducting layered medium,Applicable  
   Analysis, 96(2), 2017, 231-246.
2. Qinghua Wu and Guozheng Yan, The factorization method for the inverse
   scattering problem from thin dielectric objects, Computational
   and Applied Mathematics, 36, 2017, 1099-1112.
3. Jun Guo, Guozheng Yan, Jing Jin and Junhao Hu, The factorization
   method for cracks in inhomogeneous media, Applications of Mathematics,
   October, V.65, N.5, 2017, 509-533.

2016年发表论文

1. Qinghua Wu and Guozheng Yan, Mathematical basis for a mixed inverse
   scattering problem, Mathematics and Computers in Simulation,
   123(2016) 37-52.
2. Qinghua Wu and Guozheng Yan, The factorization method for a partically
   coated cavity in inverse scattering, Inverse Problems and Imaging,
   Vol. 10, No. 1, 2016, 263-279.
3. Jun Guo, Qinghua Wu and Guozheng Yan, The linear sampling method
   for a mixed scattering problem, Inverse Problems in Science and
   Engineering，24(2016), No.1, 2-21.
4. Jun Guo, Junhao Hu and Guozheng Yan, Application of the 
   factorization method to retrieve a crack from near field data, 
   Journal of Inverse and Ill-posed Problems, 24(2016), No.5, 527-541.


2015年发表论文  

1. Qinghua Wu and Guozheng Yan, The factorization method for an open
   arc, Journal of Computational Mathematics, 2015, Vol. 33, No.5, 517-
   532.
2. Jun Guo, Guozheng Yan and Mingjian Cai, Multilayered scattering
   problem with generalized impedance boundary condition on the core,
   Journal of Applied Mathematics, Vol. 2015, Article ID 195460.
3. Jun Guo, lili Fan and Guozheng Yan, The boundary integral method for
   the Helmholtz equation with cracks inside a bounded domain, Acta
   Mathemmatica Scientia, Acta Math. Sci. Ser. B Engl. Ed 35(2015), n.3,
    539-551.
4. Jun Guo, Qinghua Wu and Guozheng Yan, The inverse scattering
   problem by a crack buried in a piecewise homogenuous medium, IMA 
   Journal of Applied Mathematics,  80(2015),1199-1218.  
 

2015年以前发表论文

1. Jun Guo, Guozheng Yan and Jianguo Ye, The direct scattering problem
   for a crack buried in a piecewise homogenuous medium, Journal of  
   Mathematical Physics54,053514(2013).
2. Guozheng Yan, Jianguo Ye and Jun Guo, Boundary integral method for
   multi-layered electromagnetic scattering problems, J. of Differential
   Equations, 254(2013), 4109-4121.
3. Guozheng Yan, Jianguo Ye and Jun Guo, Mathematical analysis of
   scattering problems for partially coated obstacles and cracks, 
   Journal of Mathematical Physics 53,073702(2012).
4. Guozheng Yanand Jianguo Ye, Boundary integral method for scattering
   problems with cracks buried in a piecewise homogeneous medium,
   Mathematical Methods in Applied Sciences, 35(2012)，1，84-96.
5. Guozheng Yan and Mao Yao, On the nonexistence of transmission
   eigenvalues for regions with cavities, Communication in Partial
   Differential Equations, 3(2011)，8, 1510-1519.
6. Guozheng Yan, The method of integral equation for scattering problem
   with a mixed crack, Mathematical Methods in Applied Sciences,
   34(2011)，15, 1813-1821.
7. Guozheng Yan and Mao Yao, Mathematical basis of the linear sampling
   method for partially coated obstacles, Nonlinear  Analysis(TMA),  
   74(2011)，18, 6843-6851.
8. 严国政， 具有混合裂缝的散射问题的边界积分方程方法， 数学物理学报,
   2011，31A(5): 1167-1175.
9. Guozheng Yan and Mao Yao, Mathematical basis of scattering problems
   from penetrable obstacles and cracks, Journal of Mathematical Physics
   51, 123520(2010), doi:10.1063/1.3525831.
10. Guozheng Yan and Mao Yao, The method of boundary integral
   equations for a mixed scattering problem, J. of Differential 
   Equations,246(2009), 4618-4631.
11. Guozheng Yan, The problem of scattering by a mixture of cracks and
   obstacles, Boundary Value Problems, Volume 2009, Article ID 524846,
   dio: 10.1155/2009/524846.
12. Guozheng Yan, The problem of scattering by a partially coated crack,
   Nonlinear Analysis (TMA), 68(2008), 932-939.
13. Guozheng Yan, The Helmholtz equation in a non-smooth inclusion,
   Nonlinear Analysis (TMA), 69(2008), 2825-2832.
14. 严国政，黄军华，局部扰动半平面上的散射问题，数学物理学报，卷26，
   期6，辑A，2006，863-871.
15. Guozheng Yan, Uniqueness of a scattering problem with  L^2 boundary
   values, Computers and Mathematics with Appl., 50(2005),1363-
   1370.
16. Guozheng Yan, Uniqueness of the inverse scattering problem of a
   locally perturbed half-plane, Computers and Mathematics with Appl.,
   48(2004),411-418.
17. Bo Zhang and Guozheng Yan, Integral equation methods for scattering
   by periodic Lipschitz surfaces, Integral methods in science and
   engineering (Saint Étienne, 2002), 273–278, Birkhäuser Boston, 
   Boston.
18. Guozheng Yan, Inverse scattering by a multi-layered obstacle,
   Computers and Mathematics with Appl., 48(2004),1801-1810.
19. Guozheng Yan, Inverse scattering for transmission problem, Computers
   and Mathematics with Appl., 44(2002),439-444.
20. Guozheng Yan and Huijiang Zhao, The far field operator for 
   multilayered scatterer, Computers and Mathematics with Appl., 43
  (2002),4631-639.
21. P.Y.H. Pang and Guozheng Yan, Uniqueness of inverse scattering
   problem for a penetrable obstacle with rigid core, Appl. Math. 
   Letters,14(2001), 155-158.
22. A.G.Ramm, P.Y.H. Pang and Guozheng Yan, A uniqueness result for the
   inverse transmission problem, International J. of Appl. Math., 2
   (2000),N.5, 625-634.
23. Guozheng Yan and P.Y.H. Pang, Uniqueness of the inverse conductive
   scattering problem, Computers and Mathematics with Appl.,
   36(1998),53-57.
24. Guozheng Yan and P.Y.H. Pang, Inverse obstacle scattering with two
   scatterers, Appl. Anal., 70(1998),35-43.
25. Guozheng Yan and P.Y.H. Pang, The uniqueness of the inverse obstacle
    scattering problem with transmission boundary conditions, Computers
    and Mathematics with Appl., 36(1998),63-69.

研究项目

主持的科研基金

1. 2016.1-2019.12 获得国家自然科学基金资助，课题为“Transmission特征值  
   及其相关逆散射问题的研究”，项目主持人，项目编号：11571132.
2. 2012.1-2015.12 获得国家自然科学基金资助，课题为“含裂缝的声波与电磁
   波散射问题解的性态研究”，项目主持人，项目编号:11171127。已结题。
3. 2009.01-2011.12 获得国家自然科学基金资助，课题为“以声波散射为背景的  
   混合边值问题的研究”， 编号10871080，项目主持人。已结题。
4. 2001--2003年获得国家自然科学基金（青年基金）资助，课题为“逆散射问题的
   研究”，编号10001014，项目主持人，已结题。
5. 2011-2012, 中央高校科研基本业务费，“声波和电磁波散射中裂缝散射问题的
   研究”，编号CCNU10A02018，项目主持人，已结题。
6. 2003年度和2005年度获得华中师范大学自然科学基金资助，已结题。

   参加的科研基金
1.2014-2016, 长江学者和创新团队发展计划“非线性偏微分方程及相关问题的研
  究”项目，编号 IRT13066,项目组主要成员，在研。
2.2014-2017, 国家自然科学基金项目，课题名称“调和分析对色散估计及谱理论的
  应用”，编号 11371158,项目组主要成员，在研。
3.2012-2014, 中央高校科研基本业务费，数学重大培育项目，编号
  CCNU12C01001，项目组主要成员，已结题。
4.2007湖北省创新团队基金（主要成员）， “非线性偏微分方程的若干问题研
  究”，编号2007ABC002。
5.2006教育部科技重点项目（主要成员），“关于带电磁场的薛定谔(schrodinger)
  方程的研究”，编号107081，目前已经结题。

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