郭軍 簡介
中南民族大學,數學與統計學學院,講師。
研究方向:聲波、電磁波、彈性波反問題,電阻抗斷層成像問題。
教育經歷
2011/9 - 2014/6,華中師范大學,數學與統計學院,博士,導師:嚴國政
2005/9 - 2007/6,武漢大學,數學與統計學院,碩士,導師:趙會江
1999/9 - 2003/6,華中師范大學,數學系,學士
工作經歷
1.2014/7 - 至今,中南民族大學,數學與統計學院,講師
2.2007/7 - 2011/8,九江學院,理學院,講師
3.2003/7 - 2005/8,九江學院,理學院,助教
教授課程
高等數學,線性代數,概率論與數理統計,常微分方程,數學物理方程,實變函數,復變函數,泛函分析,抽象代數,點集拓撲。
主持或參加科研項目
1.國家自然科學基金青年項目,11401241,適應于一類與時間相關的線性與非線性反問題的區域分解方法,2015/01-2017/12,26萬,項目在研階段,參加
2.國家自然科學基金面上項目,11571132,Transmission特征值及其相關逆散射問題的研究,2016/01-2019/12,50萬,項目在研階段,參加
3.主持完成中央高?;究蒲袠I務費專項資金自科青年項目《一類傳輸特征值問題的研究》(2015.01—2015.12),項目編號為CZQ15020,已完成。
4.主持中央高?;究蒲袠I務費專項資金自科一般項目《可穿透障礙體的近場因式分解反演》(2016.01—2017.12),項目編號為CZY16008,已完成。
代表性研究成果
[1]Jun Guo, Jixiong Xiao, Huijiang Zhao, Changjiang Zhu, Global solutions to a hyperbolic-parabolic coupled system with large initial data, Acta Mathematica Scientia ,2009, 29B(3):629-641
[2]Guozheng Yan, Jianguo Ye, Jun Guo, Mathematical analysis of scattering problems for partially coated obstacles and cracks, J. Math. Phys., 2012,53(7):073702
[3]Jun Guo, Guozheng Yan, Jianguo Ye, The direct scattering problem for a crack buried in a piecewise homogeneous medium, J. Math. Phys., 2013, 54(5):053514
[4]Guozheng Yan, Jianguo Ye, Jun Guo, Boundary integral method for multi-layered electromagnetic scattering problems, Journal of Differential Equations, 2013, 254(254):4109-4121
[5]Jun Guo, Qinghua Wu, Guozheng Yan, The inverse scattering problem by a crack buried in a piecewise homogeneous medium, IMA J.Appl.Math.,2015, 80(4):1199-1218
[6]Jun Guo, Lili Fan, Guozheng Yan, The boundary integral method for the Helmholtz equation with cracks inside a bounded domain, Acta Mathematica Scientia, 2015, 35(3):539-551
[7]Jun Guo, Qinghua Wu, Guozheng Yan, The linear sampling method for a mixed scattering problem, Inverse Problems in Science and Engineering, 2016, 24(1):2-21
[8]Jun Guo, Junhao Hu, Guozheng Yan, Application of the factorization method to retrieve a crack from near field data, Journal of Inverse and Ill-Posed Problems, 2016, 24 (5):527–541
[9]Jing Jin, Jun Guo, Mingjian Cai, Direct and Inverse Acoustic Scattering by a Combined Scatterer, Mathematical Modelling and Analysis, 2015,20(3):422-442
[10]Yao Mao, Yongguang Chen, Jun Guo, The mathematical basis of the inverse scattering problem for cracks from near field data,Mathematical Problems in Engineering, 2015, 2015:863086
[11]Jun Guo, Guozheng Yan, Mingjian Cai, Multilayered scattering problem with generalized impedance boundary condition on the core, Journal of Applied Mathematics, 2015, 2015:195460
[12]Jun Guo, Guozheng Yan, Jing Zhou, The direct and inverse problem for an inclusion within a heat conducting layered medium,Applicable Analysis, 2017,96(2):231-246.
[13]Jun Guo , Guozheng Yan,The inverse scattering problem for partially penetrable obstacles,Applicable Analysis,https://doi.org/10.1080/00036811.2017.1322197.
[14]Jun Guo, Di Ning, Guozheng Yan, Qinghua Wu, Reconstruction of a penetrable cavity and the external obstacle,Applicable Analysis, DOI: 10.1080/00036811.2017.1336544.
[15]Jun Guo, Guozheng Yan, Jing Jin, Junhao Hu,The factorization method for cracks in inhomogeneous media,Applications of Mathematics,DOI:10.21136/AM.2017.0194-16.