师资队伍

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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 论文：</br>
1. Hongyu Liu, <b>Catharine W. K. Lo</b> and Longyue Tao. Determining evolutionary equations by a single passive boundary observation. <i>arXiv:2505.08473</i></br>
2. 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>
3. 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>
4. Rongfang Gong, Xiaohui Liu, <b>Catharine W. K. Lo</b>* and Gaocheng Yue. A study of Cauchy problem of the Helmholtz equation based on a relaxation model: Regularization and analysis. <i>Applied Numerical Mathematics</i>, 216: 140–163, October 2025. DOI: 10.1016/j.apnum.2025.05.007</br>
5. 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>
6. 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>, 111(5): e70173, May 2025. DOI: 10.1112/jlms.70173</br>
7. 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>
8. <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>
9. 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>
10. 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>
11. <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>
12. 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>
13. <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>
14. 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>
15. 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>
16. 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>
17. <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>
18. <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

无

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

  • 论文：
    1. Hongyu Liu, Catharine W. K. Lo and Longyue Tao. Determining evolutionary equations by a single passive boundary observation. arXiv:2505.08473
    2. Hongyu Liu and Catharine W. K. Lo*. Simultaneously decoding the unknown stationary state and function parameters for mean field games. arXiv:2501.11955
    3. 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
    4. Rongfang Gong, Xiaohui Liu, Catharine W. K. Lo* and Gaocheng Yue. A study of Cauchy problem of the Helmholtz equation based on a relaxation model: Regularization and analysis. Applied Numerical Mathematics, 216: 140–163, October 2025. DOI: 10.1016/j.apnum.2025.05.007
    5. 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
    6. 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, 111(5): e70173, May 2025. DOI: 10.1112/jlms.70173
    7. 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
    8. 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
    9. 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
    10. 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
    11. 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
    12. 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
    13. 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
    14. 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
    15. 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
    16. 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
    17. 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
    18. 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

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