Faculty > Professors > ZHANG Zhen
ZHANG Zhen
Associate Professor
- Brief Biography
- Research
- Teaching
- Published Works
Dr. Zhen Zhang is now an associate Professor at Department of Mathematics, Southern University of Science and Technology, China. He is P.I. and National Youth Talent. His research interests include numerical PDEs and high-dimensional data analysis. He received the Ph.D. degree in Applied Mathematics from The Hong Kong University of Science and Technology in 2013, and the B.S. degree in Mathematics from University of Science and Technology of China in 2007. He worked as a postdoctoral fellow at Department of Mathematics in National University of Singapore from 2013 to 2015.
Research Interests:
• Numerical Partial Differential Equations
• Multiphase moving contact line problems of complex fluids, multiscale modeling and simulation
• Phase-field modeling and simulations
• High dimensional machine learning
Professional Experience:
◆ Associate Professor (tenured), Southern University of Science and Technology, 2017 - present.
◆ Assistant Professor, Southern University of Science and Technology, 2015 - 2017.
◆ Research Fellow, National University of Singapore, 2013 - 2015.
Educational Background:
◆ Ph.D. of Applied Mathematics, HKUST, 2013.
◆ M.Phil. of Applied Mathematics, HKUST, 2009.
◆ B.S. of Mathematics, USTC, 2007.
Honors & Awards:
◆ Shenzhen Peacock Plan (B), 2017.
◆ HKMS Best Thesis Award, 2015.
Selected Publication:
◆ Zhen Zhang; Shixin Xu; Weiqing Ren*; Derivation of a Continuum Model and the Energy Law for Moving Contact Lines with Insoluble Surfactants, Physics of Fluids, 2014, 26: 062103.
◆ Jianhua Guo; Jianchang Hu; Bingyi Jing; and Zhen Zhang; Spline-Lasso in High-Dimensional Linear Regression, Journal of the American Statistical Association, 2016, 111(53): 288-297.
◆ Zhen Zhang; Weiqing Ren*; Distinguished limits of the Navier slip model for moving contact lines in Stokes flow, SIAM Journal on Applied Mathematics, 2019, 79(5): 1654-1674.
◆ Zhen Zhang; Shengzheng Wang; Wei Bian*; Sign Consistency for the Linear Programming Discriminant Rule, Pattern Recognition, 2020, 100: 107083.
◆ Quan Zhao; Weiqing Ren; Zhen Zhang*; A Thermodynamically Consistent Model and Its Conservative Numerical Approximation for Moving Contact Lines with Soluble Surfactants, Computer Methods in Applied Mechanics and Engineering, 2021, 385: 1140.
◆ Shuqing Chai; Zhen Zhang*; Zhiwen Zhang; A second order accuracy preserving method for moving contact lines with Stokes flow, Journal of Computational Physics, 2021, 445: 110607.
◆ Zhen Zhang; Xianmin Xu*; Effective boundary conditions for dynamic contact angle hysteresis on chemically inhomogeneous surfaces, Journal of Fluid Mechanics, 2022, 935:A34.
◆ Zhen Zhang; Tiezheng Qian*; Variational approach to droplet transport via bendotaxis: Thin film dynamics and model reduction, Physical Review Fluids, 2022, 7:044002.
◆ Chenxi Wang; Alina Chertock; Shumo Cui; Alexander Kurganov*; Zhen Zhang; A diffuse-domain based numerical method for a chemotaxis-fluid model, Mathematical Models and Methods in Applied Sciences, 2023, 33(02):341-375.
◆ Jin Yao; Zhen Zhang; Weiqing Ren*; Modelling moving contact lines on inextensible elastic sheets in two dimensions, Journal of Fluid Mechanics, 2023, 955:A25.
Grants (PI or CoPI)
1. 2017/01-2019/12, National Science Foundation of China (NSFC) 11601221, “Modeling and simulation of the liquid wetting with surfactants”, RMB 180,000, PI.
2. 2018/01-2019/12, Shenzhen Science and Technology Innovation Committee, “Modeling and high-performance computing of multiphase complex fluids in blood flows”, RMB 300,000, PI.
3. 2018/01-2020/12, 1000-plan youth program, RMB 1,000,000, PI.
4. 2021/01-2024/12, National Science Foundation of China (NSFC) Regular Grant (12071207),“Modeling and simulation of wetting process on elastic membrane”, RMB 510,000, PI.
5. 2021/01-2023/12, Guangdong Basic and Applied Basic Research Foundation Regular Grant (2021A1515010359), “Phase-field simulation of the industrial polymer pelletizing process”, RMB100,000, PI.
6. 2022/01-2023/12, National Science Foundation of China (NSFC), Tianyuan Mathematics-Pazhou Laboratory (12126602), "Mathematical modeling and methods in the prediction and diagonosis of cardiovascular events after acute coronary syndrome", RMB 2,000,000, CoPI.
7. 2024/01-2028/12, National Science and Technology Department of China, National Key Research and Development Program (2023YFA1011400), "Key mathematical problems and applications in dynamical brain imaging and analysis", RMB 1,110,000, subject PI of "Physical driven deep learning study in quantitative magnetic resonance imaging (MRI)".
Grants (Member)
1. 2018/01-2021/12, National Science Foundation of China (NSFC) Regular Grant (11771201),“Numerical methods for shallow water models”, RMB 480,000, member.
2. 2018/01-2022/12, National Science Foundation of China (NSFC) Key Grant (11731006),“Adaptive methods in uncertainty quantification and their applications in environmental sciences”,RMB 2,500,000, member.
3. 2019/01-2021/12, Guangdong Provincial Key Laboratory of Computational Science and Material Design (2019B030301001), RMB 3,000,000, member.
Patents
1. “Method for the Production of Ultrapure Phosphorus by Zone Melting in a Non-Flammable Environment, and the Apparatus Used in Such Method”, US Patent: US20110212405 A1, 2011.
2. Tissue puncture indication system and operation method based on lateral scanning OCT endoscope probe,Chinese Patent, In Process,2021.
Introduction to Big Data Science, 2016 Fall, 2017 Spring, 2018 Spring, 2019 Spring, 2020 Spring, 2021 Spring, 2022 Spring, 2023 Spring.
Methods of Applied Math, 2017 Fall, 2018 Fall, 2019 Fall, 2020 Fall, 2021 Fall, 2022 Fall, 2023 Fall.
Numerical PDEs (graduate level), 2022 Spring, 2023 Spring.
Ordinary Differential Equations B, 2020 Spring.
Calculus II, 2019 Spring.
Mathematical Methods for Data Analysis, 2018, Spring.
Numerical Analysis, 2017 Spring.
Numerical PDEs, Multivariate Calculus, 2016 Spring.
1. Zhen Zhang; Xueyun Zhang; Xiaojin He; Xiao-Ping Wang; Yongli Mi*; Purification of phosphorus by a zero pollution zone melting technique, Separation and Purification Technology, 2012, 98(34): 249-254.
2. Zhen Zhang; Shixin Xu; Weiqing Ren*; Derivation of a Continuum Model and the Energy Law for Moving Contact Lines with Insoluble Surfactants, Physics of Fluids, 2014, 26: 062103.
3. Zhen Zhang; Xiao-Ping Wang*; Yongli Mi; Phase-field modeling and simulation of the zone melting purification process, SIAM Journal on Applied Mathematics, 2014, 74(4): 1115-1135.
4. Zhen Zhang; Weiqing Ren*; Simulation of moving contact lines in two-phase polymeric fluids, Computers and Mathematics with Applications, 2016, 72(4): 1002-1012.
5. Jianhua Guo; Jianchang Hu; Bingyi Jing; and Zhen Zhang; Spline-Lasso in High-Dimensional Linear Regression, Journal of the American Statistical Association, 2016, 111(53): 288-297.
6.
Zhen Zhang; Weiqing Ren*; Distinguished limits of the Navier slip model for moving contact lines in Stokes flow,
SIAM Journal on Applied Mathematics, 2019, 79(5): 1654-1674.
7. Zhen Zhang; Shengzheng Wang; Wei Bian*; Sign Consistency for the Linear Programming Discriminant Rule, Pattern Recognition, 2020, 100: 107083.
8. Fengdai Kang; Zhen Zhang*; A multiple scalar auxiliary variables approach to the energy stable scheme of the moving contact line problem, Numerical Mathematics: Theory, Methods and Applications, 2020, 13(2): 539-568.
9. Zhen Zhang; Jin Yao; Weiqing Ren*; Static interface profiles for contact lines on an elastic membrane with the Willmore energy, Physical Review E, 2020, 102: 062803.
10. Quan Zhao; Weiqing Ren; Zhen Zhang*; A Thermodynamically Consistent Model and Its Conservative Numerical Approximation for Moving Contact Lines with Soluble Surfactants, Computer Methods in Applied Mechanics and Engineering, 2021, 385: 1140.
11. Shuqing Chai; Zhen Zhang*; Zhiwen Zhang; A second order accuracy preserving method for moving contact lines with Stokes flow, Journal of Computational Physics, 2021, 445: 110607.
12. Zixiang Luo; Chenyu Xu; Zhen Zhang*; Wenfei Jin*; A topology-preserving dimensionality reduction method for single-cell RNA-seq data using graph autoencoder, Scientific Reports, 2021, 11: 20028.
13. Zhen Zhang; Xianmin Xu*; Effective boundary conditions for dynamic contact angle hysteresis on chemically inhomogeneous surfaces, Journal of Fluid Mechanics, 2022, 935:A34.
14. Zhen Zhang; Tiezheng Qian*; Variational approach to droplet transport via bendotaxis: Thin film dynamics and model reduction, Physical Review Fluids, 2022, 7:044002.
15. Chenxi Wang; Yichen Guo; Zhen Zhang*; Unconditionally energy stable and bound-preserving schemes for phase-field surfactant model with moving contact lines, Journal of Scientific Computing, 2022, 92:20.
16. Chenxi Wang; Alina Chertock; Shumo Cui; Alexander Kurganov*;
Zhen Zhang; A diffuse-domain based numerical method for a chemotaxis-fluid model,
Mathematical Models and Methods in Applied Sciences, 2023, 33(02):341-375.
17. Jin Yao; Zhen Zhang; Weiqing Ren*; Modelling moving contact lines on inextensible elastic sheets in two dimensions, Journal of Fluid Mechanics, 2023, 955:A25.
18. Si Xiao; Xianmin Xu*; Zhen Zhang; Multiscale Analysis for Dynamic contact angle hysteresis on rough surfaces, Multiscale Modeling & Simulation, 2023, 21(1): 400-425.
19. Xiaoyue Liu; Zhenzhong Huang; Biwei Song; Zhen Zhang*; A linear-programming portfolio optimizer to mean-variance optimization, International Journal of Theoretical and Applied Finance, 2023, 26(4):2350012.
20. Shuqing Chai; Zhilin Li; Zhen Zhang*; Zhiwen Zhang; A pressure Poisson equation-based second-order method for solving two-dimensional moving contact line problems with topological changes, Computers & Fluids, 2024, 269:106117.
21. Shuting Gu; Chenxi Wang*; Zhen Zhang; Scalar auxiliary variable approach in iterative minimization formulation for saddle points of energy functional, Communications in Mathematical Sciences, 2024, to appear.
22. C. Liu, G. Li, H. Long, P. Chen, Z. Zhang, J. Huang, B. Zhu, X. Han, Y. Hu, J. Q. Shi, D. Gu, Impact of dynamic self-protection intensity on the COVID-19 pandemic: A case study in Shenzhen based on medical resources, Biostatistics & Epidemiology, 2024, to appear.
23. Chenxi Wang; Ming-Chih Lai; Zhen Zhang*; An improved phase-field algorithm for simulating the impact of a drop on a substrate in the presence of surfactants, Journal of Computational Physics, 2024, 499:112722.