卢咏君 Lo Wing Kwan Catharine
  • 教育程度:博士及以上

  • 职称:副教授

  • 电话:

  • 邮箱:cwklo@szu.edu.cn

  • 地址:汇星楼421

教程程度 博士及以上 职称 副教授
电话 邮箱 cwklo@szu.edu.cn
地址 汇星楼421 教育经历 (1) 2019-11 至 2022-10,里斯本大学,数学,博士
</br>(2) 2015-09 至 2018-06,普林斯顿大学,数学,硕士
</br>(3) 2012-09 至 2015-06,加州理工大学,数学+物理,学士
工作经历 2018-08 至 2019-08,新加坡科技研究局生物信息研究院,专职研究员</br>
2022-12 至 2025-02,香港城市大学,数学系,博士后</br>
2025-03至今,深圳大学,数学科学学院,副教授
研究领域 偏微分方程、反问题、分数阶偏微分方程、数学生物学、种群动态、平均场博弈、博弈论、交通流与人群运动、流行病的控制与缓解、医学成像、界面与自由边界问题
获得荣誉 深圳大学“百人计划” 教学课程
科研成果 文章:</br>
1. Hongyu Liu and <b>Catharine W. K. Lo</b>*. Simultaneously decoding the unknown stationary state and function parameters for mean field games. <i>arXiv:2501.11955</i></br>
2. Ming-Hui Ding, Hongyu Liu and <b>Catharine W. K. Lo</b>*. Inverse problems for coupled nonlocal non-linear systems arising in mathematical biology. <i>arXiv:2407.15713</i></br>
3. Hongyu Liu*, <b>Catharine W. K. Lo</b> and Shen Zhang. Decoding a mean field game by the Cauchy data around its unknown stationary states. <i>arXiv:2405.18943. Journal of the London Mathematical Society</i>, in press</br>
4. Ching-Lung Lin, Hongyu Liu and <b>Catharine W. K. Lo</b>*. Uniqueness principle for fractional (non)-coercive anisotropic polyharmonic operators and applications to inverse problems. <i>arXiv: 2307.00744. Inverse Problems and Imaging</i>, 19(4): 795–815. August 2025. DOI: 10.3934/ipi.2024054 </br>
5. Hongyu Liu* and <b>Catharine W. K. Lo</b>. Determining state space anomalies in mean field games. <i>arXiv:2405.18954. Nonlinearity</i>, 38(2): 025010, January 2025. DOI: 10.1088/1361-6544/ada67d</br>
6. <b>Catharine W. K. Lo</b>* and José Francisco Rodrigues. On the stability of the <i>s</i>-nonlocal <i>p</i>-obstacle problem and their coincidence sets and free boundaries. <i>arXiv:2402.18106. Bulletin of the Brazilian Mathematical Society, New Series</i>, 56(14): 1–26, January 2025. DOI: 10.1007/s00574-025-00439-6 </br>
7. Yuhan Li, Hongyu Liu and <b>Catharine W. K. Lo</b>*. On inverse problems in multi-population aggregation models. <i>arXiv:2404.09837. Journal of Differential Equations</i>, 414C: 94–124, January 2025. DOI: 10.1016/j.jde.2024.08.075</br>
8. Ming-Hui Ding, Rongfang Gong, Hongyu Liu and <b>Catharine W. K. Lo</b>*. Determining sources in the bioluminescence tomography problem. <i>arXiv: 2311.05191. Inverse Problems</i>, 40(12): 125022, November 2024. DOI: 10.1088/1361-6420/ad934c </br>
9. <b>Catharine W. K. Lo</b>* and José Francisco Rodrigues. On the obstacle problem in fractional generalised Orlicz spaces. <i>arXiv:2405.17014. Mathematics in Engineering</i>, 6(5): 676–704, September 2024. DOI: 10.3934/mine.2024026</br>
10. Yuhan Li, Hongyu Liu and <b>Catharine W. K. Lo</b>*. On inverse problems in predator-prey models. <i>arXiv: 2312.09653. Journal of Differential Equations</i>, 397C: 349–376, July 2024. DOI: 10.1016/j.jde.2024.04.009 </br>
11. <b>Catharine W. K. Lo</b>* and José Francisco Rodrigues. Global existence for nonlocal quasilinear diffusion systems in nonisotropic nondivergence form. <i>arXiv: 2206.11415. Mathematische Nachrichten</i>, 297(6): 2122–2147, June 2024. DOI: 10.1002/mana.202200250 </br>
12. Jun Shen, Rongfang Gong, Chunxiao Chen*, Liang Wang, Zhe Lin, <b>Catharine W. K. Lo</b>* and Ming Lu*. Tumor Treating Fields: Modeling and a numerical algorithm. <i>Communications on Analysis and Computation</i>, 2(2): 159–179, June 2024. DOI: 10.3934/cac.2024008</br>
13. Yuhan Li and <b>Catharine W. K. Lo</b>*. On the simultaneous recovery of environmental factors in the 3D chemotaxis-Navier-Stokes models. <i>Communications on Analysis and Computation</i>, 2(1): 30–47, March 2024. DOI: 10.3934/cac.2024003 </br>
14. Hongyu Liu and <b>Catharine W. K. Lo</b>*. Determining a parabolic system by boundary observation of its non-negative solutions with biological applications. <i>arXiv: 2303.13045. Inverse Problems</i>, 40(2): 025009, February 2024. DOI: 10.1088/1361-6420/ad149f </br>
15. <b>Catharine W. K. Lo</b> and José Francisco Rodrigues. On a class of nonlocal obstacle type problems related to the distributional Riesz fractional derivative. <i>arXiv: 2101.06863. Portugaliae Mathematica</i>, 80(1/2): 157–205, April 2023. DOI: 10.4171/PM/2100 </br>
16. <b>Catharine W. K. Lo</b>* and José Francisco Rodrigues. On an anisotropic fractional Stefan-type problem with Dirichlet boundary conditions. <i>arXiv: 2201.07827. Mathematics in Engineering</i>, 5(3):1–38, August 2022. DOI: 10.3934/mine.2023047 </br></br>
著作:</br>
1. Hongyu Liu, <b>Catharine W. K. Lo</b>* and Shen Zhang. Inverse Problems for Mean Field Games. <i>arXiv:2503.14914</i></br>
科研项目

个人简介

教育经历

  • (1) 2019-11 至 2022-10,里斯本大学,数学,博士
    (2) 2015-09 至 2018-06,普林斯顿大学,数学,硕士
    (3) 2012-09 至 2015-06,加州理工大学,数学+物理,学士

工作经历

  • 2018-08 至 2019-08,新加坡科技研究局生物信息研究院,专职研究员
    2022-12 至 2025-02,香港城市大学,数学系,博士后
    2025-03至今,深圳大学,数学科学学院,副教授

研究领域

  • 偏微分方程、反问题、分数阶偏微分方程、数学生物学、种群动态、平均场博弈、博弈论、交通流与人群运动、流行病的控制与缓解、医学成像、界面与自由边界问题

获得荣誉

  • 深圳大学“百人计划”

教学课程

科研成果

  • 文章:
    1. Hongyu Liu and Catharine W. K. Lo*. Simultaneously decoding the unknown stationary state and function parameters for mean field games. arXiv:2501.11955
    2. Ming-Hui Ding, Hongyu Liu and Catharine W. K. Lo*. Inverse problems for coupled nonlocal non-linear systems arising in mathematical biology. arXiv:2407.15713
    3. Hongyu Liu*, Catharine W. K. Lo and Shen Zhang. Decoding a mean field game by the Cauchy data around its unknown stationary states. arXiv:2405.18943. Journal of the London Mathematical Society, in press
    4. Ching-Lung Lin, Hongyu Liu and Catharine W. K. Lo*. Uniqueness principle for fractional (non)-coercive anisotropic polyharmonic operators and applications to inverse problems. arXiv: 2307.00744. Inverse Problems and Imaging, 19(4): 795–815. August 2025. DOI: 10.3934/ipi.2024054
    5. Hongyu Liu* and Catharine W. K. Lo. Determining state space anomalies in mean field games. arXiv:2405.18954. Nonlinearity, 38(2): 025010, January 2025. DOI: 10.1088/1361-6544/ada67d
    6. Catharine W. K. Lo* and José Francisco Rodrigues. On the stability of the s-nonlocal p-obstacle problem and their coincidence sets and free boundaries. arXiv:2402.18106. Bulletin of the Brazilian Mathematical Society, New Series, 56(14): 1–26, January 2025. DOI: 10.1007/s00574-025-00439-6
    7. Yuhan Li, Hongyu Liu and Catharine W. K. Lo*. On inverse problems in multi-population aggregation models. arXiv:2404.09837. Journal of Differential Equations, 414C: 94–124, January 2025. DOI: 10.1016/j.jde.2024.08.075
    8. Ming-Hui Ding, Rongfang Gong, Hongyu Liu and Catharine W. K. Lo*. Determining sources in the bioluminescence tomography problem. arXiv: 2311.05191. Inverse Problems, 40(12): 125022, November 2024. DOI: 10.1088/1361-6420/ad934c
    9. Catharine W. K. Lo* and José Francisco Rodrigues. On the obstacle problem in fractional generalised Orlicz spaces. arXiv:2405.17014. Mathematics in Engineering, 6(5): 676–704, September 2024. DOI: 10.3934/mine.2024026
    10. Yuhan Li, Hongyu Liu and Catharine W. K. Lo*. On inverse problems in predator-prey models. arXiv: 2312.09653. Journal of Differential Equations, 397C: 349–376, July 2024. DOI: 10.1016/j.jde.2024.04.009
    11. Catharine W. K. Lo* and José Francisco Rodrigues. Global existence for nonlocal quasilinear diffusion systems in nonisotropic nondivergence form. arXiv: 2206.11415. Mathematische Nachrichten, 297(6): 2122–2147, June 2024. DOI: 10.1002/mana.202200250
    12. Jun Shen, Rongfang Gong, Chunxiao Chen*, Liang Wang, Zhe Lin, Catharine W. K. Lo* and Ming Lu*. Tumor Treating Fields: Modeling and a numerical algorithm. Communications on Analysis and Computation, 2(2): 159–179, June 2024. DOI: 10.3934/cac.2024008
    13. Yuhan Li and Catharine W. K. Lo*. On the simultaneous recovery of environmental factors in the 3D chemotaxis-Navier-Stokes models. Communications on Analysis and Computation, 2(1): 30–47, March 2024. DOI: 10.3934/cac.2024003
    14. Hongyu Liu and Catharine W. K. Lo*. Determining a parabolic system by boundary observation of its non-negative solutions with biological applications. arXiv: 2303.13045. Inverse Problems, 40(2): 025009, February 2024. DOI: 10.1088/1361-6420/ad149f
    15. Catharine W. K. Lo and José Francisco Rodrigues. On a class of nonlocal obstacle type problems related to the distributional Riesz fractional derivative. arXiv: 2101.06863. Portugaliae Mathematica, 80(1/2): 157–205, April 2023. DOI: 10.4171/PM/2100
    16. Catharine W. K. Lo* and José Francisco Rodrigues. On an anisotropic fractional Stefan-type problem with Dirichlet boundary conditions. arXiv: 2201.07827. Mathematics in Engineering, 5(3):1–38, August 2022. DOI: 10.3934/mine.2023047

    著作:
    1. Hongyu Liu, Catharine W. K. Lo* and Shen Zhang. Inverse Problems for Mean Field Games. arXiv:2503.14914

科研项目