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向建立
  • 职称:讲师
  • 学历:研究生
  • 毕业院校:华中师范大学数学与统计学学院
  • 所在单位:
  • 学位:博士
  • 学科:
  • 电话:
  • 地址:L1508-1
  • 邮箱:xiangjianli@ctgu.edu.cn
个人简介

向建立,女,1992年出生,湖北宜昌人,博士,讲师。2021年6月毕业于华中师范大学数学与统计学学院,获理学博士学位。2021年6月到三峡大学理学院任教,2023年9月至2024年7月到南开大学访问交流。研究领域为偏微分方程中的逆散射问题,包括声波散射、弹性波散射及衍射光栅问题等。

开设课程
本科课程:《高等代数》《线性代数》等
主持/参与的科研项目
(1)传导边界条件下逆声波散射问题的唯一性研究(编号:12301542),国家自然科学基金青年项目,2024.01~2026.12,主持。(在研)
(2)分解法在手性介质逆散射问题中的应用(编号:Z2022343),湖北省自然科学基金青年项目,2022.06~2024.06,主持。(在研)

          
代表性成果
(1)The factorization method for the scattering by a mixed inhomogeneous medium. IMA J. Appl. Math., 2021, 86(4): 662-687. (with Guozheng Yan)
(2)Uniqueness of the inverse transmission scattering with a conductive boundary condition. Acta Math. Sci., 2021, 41(3): 925-940. (with Guozheng Yan)
(3)The fluid-solid interaction scattering problem with unknown buried objects. J. Inverse Ill-Posed Prob., 2021, 29(1): 1-19. (with Guozheng Yan)
(4)The inverse elastic scattering by an impenetrable obstacle and a crack. IMA J. Appl. Math., 2021, 86(1): 1-29. (with Guozheng Yan)
(5)The factorization method for inhomogeneous medium with an impenetrable obstacle. Comput. Appl. Math., 2021, 40: 270. (with Guozheng Yan)
(6)The uniqueness of the inverse elastic wave scattering problem based on the mixed reciprocity relation. Inverse Prob. Imag., 2021, 15(3): 539-554. (with Guozheng Yan)
(7)The uniqueness of the inverse transmission problem with phaseless far field data at a fixed frequency. J. Math. Anal. Appl., 2022, 506(2): 125691. (with Guozheng Yan)
(8)The factorization method for a mixed inverse elastic scattering problem. IMA J. Appl. Math., 2022, 87(3): 407-437. (with Guozheng Yan)
(9)Uniqueness of inverse transmission scattering with a conductive boundary condition by phaseless far field pattern. Acta Math. Sci., 2023, 43(1): 450-468. (with Guozheng Yan)
(10)Uniqueness in determining rectangular grating profiles with a single incoming wave (Part I): TE polarization case. Inverse Problems, 2023, 39(5): 055004. (with Guanghui Hu)