Dr YEE, Tat Leung    余達良 博士
Associate Head / Assistant Professor
Department of Mathematics and Information Technology
Contact
ORCiD
0000-0002-3970-1918
Phone
(852) 2948 7317
Email
tlyee@eduhk.hk
Address
10 Lo Ping Road, Tai Po, New Territories, Hong Kong
Website
https://pappl.eduhk.hk/rich/web/person.xhtml?pid=106989&name=YEE, Tat Leung
Scopus ID
7006852132
Research Interests

Applied Analysis, Painleve Analysis, Singularity Analysis on Integrable Systems

External Appointments

Honorary Consultant of the Hong Kong Primary Mathematics Challenge (2014 - present) 

Consultant of the Mathematics Competition for Primary Schools of Catholic Diocese of Hong Kong (2014 - present)

Consultant of the Po Leung Kuk Primary Mathematics World Contest (2013 - 2015)

Organizing Committee of the Hong Kong Mathematics Olympiad jointly orgainized by the EDB and the HKIEd (2010 - 2014)

Personal Profile

Dr. Tony Yee Tat-leung obtained his Ph.D. degree in Mathematics from the Hong Kong University of Science and Technology (HKUST). His research topics include Nonlinear Analysis, Paninleve Analysis on integrable systems. Dr. Yee was the recipient of Din-Yu Hsieh Best Teaching Award, Honorably-Mentioned Teaching Assistants in the Department of Mathematics. In 2001, he was also awarded the Croucher Foundation Fellowship and worked with Professor Robert Conte as a Postdoctoral Fellow at a French government-funded technological research center (SPEC/CEA) in Paris. Before joining the Hong Kong Institute of Education, he had been a Teaching Fellow as well as a Research Associate at the HKUST for five years.

Research Interests

Applied Analysis, Painleve Analysis, Singularity Analysis on Integrable Systems

External Appointments

Honorary Consultant of the Hong Kong Primary Mathematics Challenge (2014 - present) 

Consultant of the Mathematics Competition for Primary Schools of Catholic Diocese of Hong Kong (2014 - present)

Consultant of the Po Leung Kuk Primary Mathematics World Contest (2013 - 2015)

Organizing Committee of the Hong Kong Mathematics Olympiad jointly orgainized by the EDB and the HKIEd (2010 - 2014)

Research Outputs
Scholarly Books, Monographs and Chapters
Chapter in an edited book (author)
Yee Tat Leung (2013)。 數獨遊戲數學淺談。Yee Tat Leung， 論文發表於「數學的探究學習與綠色及雲端運算環境的電子學習研討會」。Hong Kong: publisher。

Journal Publications
Publication in refereed journal
Tat-Leung Yee, Ka Luen Cheung, Kwok-Pun Ho & Chun Kit Suen (2024). Spherical maximal function on local Morrey spaces with variable exponents. Vietnam Journal of Mathematics, 52, 107-115. https://doi.org/10.1007/s10013-022-00563-6
Tat-Leung Yee and Kwok-Pun Ho (2023). Two weighted norm inequalities of potential type operator on Herz spaces. Analysis Mathematica, 49, 1041-1052.
Yee, Tat-Leung (2023). Pattern Formation of Poles and Zeros of Padé Approximations for Some Functions with Singularity. Advances in Dynamical Systems and Applications, 18(2), 155-167.
Cheung, K. L., Wong, S., & Yee, T. L. (2023). Long-time behaviours of classical solutions to relativistic Euler–Poisson equations. Zeitschrift fur Angewandte Mathematik und Physik, 74(5) https://doi.org/10.1007/s00033-023-02070-1
T.L. Yee, K.L. Cheung, K.-P. Ho (2022). Integral operators on local Orlicz-Morrey spaces. Filomat, 36, 1231-1243.
K.L. Cheung, K.-P. Ho and T.L. Yee (2021). Boundedness of fractional integral operators on Hardy-amalgam spaces. Journal of Function spaces, 2021
Yee, Tat-Leung, Ho, Kwok-Pun (2021). Fractional integral operators with homogeneous kernels on generalized Lorentz-Morrey spaces. Journal of Mathematical Inequalities, 15, 17-30.
Yee, Tat-Leung (2021). A method of proving the convergence of the formal Laurent series solutions of nonlinear evolution equations. International Journal of Mathematical Analysis, 15(1), 1-21.
Yee, Tat-Leung (2020). An algorithm to convert integrable third-order ODEs to regular higher-order equations near any movable singularities. Nonlinear Analysis and Differential Equations, 8(1), 129-144.
Yee, Tat-Leung (2020). A mirror approach to the study of the generalized Henon-Heiles Hamiltonian systems. Applied Mathematical Sciences, 14, 843-858.
Yee Tat-Leung (2020). Explicit construction of Backlund transformations for integrable equations using the mirror method. Advances in Fuzzy Mathematics, 15(1), 59-75.
Yee, Tat-Leung, Cheung, Ka Luen, Ho, Kwok-Pun & Suen, Chun Kit (2020). Local sharp maximal functions, geometrical maximal functions and rough maximal functions on local Morrey spaces with variable exponents. Mathematical Inequalities & Applications, 23(4), 1509-1528.
Yee, Tat-Leung and Ho, kwok-Pun (2020). Hardy’s inequalities and integral operators on Herz-Morrey spaces. Open Mathematics, 18, 106-121.
Yee, Tat-Leung & Ho, Kwok-Pun (2019). Zygmund inequality of the conjugate function on Morrey-Zygmund spaces. Demonstratio Mathematica, 52(1), 97-104.
Yee, Tat-Leung (2018). The Painlevé Test for a System of Coupled Equations from Nonlinear Birefringence. Applied Mathematical Sciences, 12(1), 27-36.
Yee, Tat-Leung (2017). Asymptotic Analysis of a Model in Dendritic Solidification Subjected to Buoyancy-driven Convection in the Far Field. Advances in Dynamical Systems and Applications, 12(2), 233-241.
Yee, Tat-Leung (2017). Exact Solutions of the Slowly Varying Amplitudes of Two Interacting Families for Nonlinearly Coupled Ginzburg-Landau Equations. Advances in Theoretical and Applied Mathematics, 12(2), 121-133.
Yee, Tat-Leung (2016). Closed Form Solutions of a Chaotic Equation Using the Method of Elliptic Truncation. Advances in Theoretical and Applied Mathematics, 11(4), 407-415.
Yee, Tat-Leung (2016). Near Field Asymptotic Formulation for Dendritic Growth Due to Buoyancy. Advances in Theoretical and Applied Mathematics, 11(4), 437-442.
Yee, Tat-Leung (2015). Effect on Temperature and Interface Shape of Dendritic Growth with Forced Oscillation. International Journal of Computational and Applied Mathematics, 10(1), 47-59.
Yee, Tat-Leung (2015). On the Distribution of Poles and Zeros of Pade Approximants for Elliptic Functions. Global Journal of Pure and Applied Mathematics, 11(1), 527-535.
Yee, Tat-Leung (2014). Further Results on Dendritic Growth with Forced Oscillation and Pattern Formation. Advances in Theoretical and Applied Mathematics, 9(2), 173-188.
Yee, Tat-Leung (2014). On the General Analytic Solution of a Chaotic Third Order Ordinary Differential Equation. Advances in Applied Mathematical Analysis, 9(1), 31-40.
Yee, Tat-Leung (2014). Asymptotic Theory For a Model of Dendritic Solidification with Effect of an Oscillatory Source. Global Journal of Pure and Applied Mathematics, 10(3), 401-416.
Yee, Tat-Leung (2012). Dynamics of Coherent Structures in the Coupled Complex Ginzburg-Landau Equations. Journal of Mathematics and Statistics, 8, 413-418.
Yee, Tat-Leung (2011). A New Perturbative Approach in Nonlinear Singularity Analysis. Journal of Mathematics and Statistics, 7, 249-254.
Yee, Tat-Leung, Tsang, C.H., Malomed, B.A. & Chow, K.W. (2011). Exact Solutions for Domain Walls in Coupled Complex Ginzburg-Landau Equations. Journal of the Physical Society of Japan, 80, 064001.
Yee, Tat-Leung & Chow, K.W. (2010). A "Localized Pulse-Moving Front" Pair in a System of Coupled Complex Ginzburg-Landau Equations. Journal of the Physical Society of Japan, 79, 124003.
Yee, Tat-Leung & Conte, R. (2004). Another integrable case in the Lorenz model. Journal of Physics A: Mathematical and Theoretical, 37, 113-115.
Yee, Tat-Leung (2002). Linearization of Mirror Systems. Journal of Nonlinear Mathematical Physics, 9, 235-243.
Hu, J., Yan, M. & Yee, Tat-Leung (2001). Mirror Transformations of Hamiltonian Systems. Physica D-Nonlinear Phenomena, 152-153, 110-123.

Projects
Croucher Chinese Visitorship Scholars 2024/25
The funding supports Prof. Lai Ningan, Zhejiang Normal University for the 6 months visit to Department of Mathematics and Information Technology, The Education University of Hong Kong. For research works in Hong Kong under this project, we aim to 1. Finite time blow blow-up for compressible Euler system (1) with “critical” space dependent damping in R^N; 2. Local well posedness for isothermal compressible Navier-Stokes system with large data.
Project Start Year: 2024, Principal Investigator(s): YUEN, Man Wai (YEE, Tat Leung as Co-Investigator)

 
Construction of Completely Integrable Cases of Lorenz-like Model of Atmospheric Circulation Using the Truncation-based Symbolic Computations
Chaos is a well-known term used to represent the chaotic dynamical system. For example, Lorenz introduced the chaotic dynamical system in the early 1960s when he was doing a weather forecast. Since then, a lot of research has been done, and the system has been widely investigated in all kinds of characteristics. Some of the researchers have modified the Lorenz system and discovered various applications in real life. Zhou et al., Qi et al., and Yan have studied a modified Lorenz system in terms of stability and dynamical behavior. Tigan shows another promising modified Lorenz system that has the potential application in secure communications. In the meantime, the analytical approach concerning the integrability of the system has been attracting the attention of many mathematicians. In this proposed project, our work is devoted to constructing new cases of integrability for a modified Lorenz model of atmospheric circulation. It is supposed to be a system that connects the Lorenz attractor and Chen’s attractor and represents the transition from one to the other. We shall explore our findings and results to enhance our understanding of the unsettled integrable cases of the dynamical system.
Project Start Year: 2021, Principal Investigator(s): YEE, Tat Leung 余達良

 
Croucher Foundation Visitorship for PRC Scholars 2020/21
The funding supports Dr Fang Yong, Shandong University of Science and Technology for the 6 months visit to Department of Mathematics and Information Technology, The Education University of Hong Kong. For research works in Hong Kong under this project, we aim to
1. To conduct applied analysis about the known results for Euler equations with Coriolis force.
2. To construct the Lie symmetry analysis of dynamical systems on a time scale.
3. To apply this new Lie symmetry analysis method to derive the symmetry with a single parameter group of the Euler equation with Coriolis force on a time scale.
Project Start Year: 2020, Principal Investigator(s): YUEN, Man Wai 阮文威 (YEE, Tat Leung 余達良 as Co-Investigator)

 
FLASS Internationalization and Exchange Scheme
This funding is to support Prof. Qiao Zhijun, The University of Texas Rio Grande Valley, for 12 days visit in The Education University of Hong Kong. The major objective of this visit is to develop a new mathematical technique to examine in detail negative order hierarchy of dynamical systems and to characterize some members in the negative order hierarchy with peakon, cuspon, and weak kink solutions.
Project Start Year: 2020, Principal Investigator(s): YUEN, Man Wai 阮文威 (YEE, Tat Leung 余達良 as Co-Investigator)

 
Infuse STEM/STEAM Elements into Mathematics and Information Technology Courses
This project aims to infuse STEM/STEAM elements into our subject-based courses in Mathematics and Information Technology courses. For each learning area of the subject-based courses, a relevant exemplar will be established to integrate STEM/STEAM elements into the teaching and learning of the subject. Instructional materials for each exemplar will be designed and implemented by a team of developers in consultation with the project’s supervisors. The materials will be freely available online to the teaching staff. Students can truly integrate the rich and supportive STEM/STEAM elements in their projects.
Project Start Year: 2019, Principal Investigator(s): SO, Wing Wah, Simon, YUEN, Man Wai (YEE, Tat Leung as Co-Investigator)

 
Enhancing Students’ Mathematics Learning through Instructional STEM Activities with Mathematical Modeling
..
Project Start Year: 2019, Principal Investigator(s): LING, Man Ho Alpha 凌萬豪 (YEE, Tat Leung 余達良 as Co-Investigator)

 
Inequalities and Operators on Morrey Type Spaces with Applications to the Euler Equations under Damping
This project will study important operators and establish related inequalities on Morrey Type Spaces, and investigate their applications to the Euler Equations under Damping.
Project Start Year: 2019, Principal Investigator(s): CHEUNG, Ka Luen 張家麟 (YEE, Tat Leung 余達良 as Co-Investigator)

 
Development of E-learning Package to Enhance Learning and Teaching Probability and Statistics
Innovative digital learning objects will be developed with a powerful statistical tool, R, and an appropriate curriculum will be designed in this project, to facilitate teaching and learning of probability distributions.
Project Start Year: 2018, Principal Investigator(s): LING, Man Ho Alpha 凌萬豪, YEE, Tat Leung 余達良, CHEUNG, Ka Luen 張家麟

 
Croucher Foundation Visitorship for PRC Scholars 2018/19
The funding supports Dr Wang Yunhu, Shanghai Maritime Univerisity for the 6 months visit to Department of Mathematics and Information Technology, The Education University of Hong Kong. For research works in Hong Kong under this project, we aim to (i) give the exact solutions for 2D and 3D Euler/Navier–Stokes–Korteweg equations; and (ii) investigate the integrabilities for 2D and 3D Euler/Navier–Stokes–Korteweg equations, including Lax pairs and Bäcklund transformation and then further to find the soliton solutions and even interaction solutions among different nonlinear activation.
Project Start Year: 2018, Principal Investigator(s): YUEN, Man Wai 阮文威 (YEE, Tat Leung 余達良 as Co-Principal Investigator)

 
The Hunt for New Solitary Wave Solutions of Coupled Complex Ginzburg-Landau Equations Using Modified Hirota Bilinear Method
We shall study a system of nonlinear partial differential equations, namely, the coupled complex Ginzburg-Landau equations (CGLEs) which serves as a very popular model in applied mathematics and theoretical physics. Research results are very useful in various areas of science such as hydrodynamics, optics, plasma physics and superconductivity. The focus of the research is the theoretical study of finding exact analytical solutions of CGLEs via a modified classical method. This modified method enables to formulate some new solutions of explicit expressions that have not been found in the literature before. In the project, we shall investigate:
(i) the yet unknown general solution for a solitary pulse-front pair of CGLEs under the combined influence of dispersion, linear and nonlinear gain or loss,
(ii) the yet unknown general solution for a mutually locked front-front pair, with opposite polarities, in the presence of amplification and attenuation,
(iii) the numerical simulations of the stability of the new solutions as well as the subsequent development of any possible modulation instability.
Project Start Year: 2012, Principal Investigator(s): YEE, Tat Leung 余達良

 
Understanding the Australian and Hong Kong primary children's thinking and misconceptions in decimal numbers: A comparative study
The significance of this research is to inform Australian and Hong Kong pre-service student teachers and in-service teachers about general misconceptions of teaching and learning decimals, so that the focus and framework of teaching decimals can be restructured in accord with students’ learning difficulties revealed in this research.
Project Start Year: 2010, Principal Investigator(s): LAI, Mun Yee, YEE, Tat Leung 余達良, CHAN, Wing Sum 陳詠心

 
The 27th Hong Kong Mathematics Olympiad (HKMO)
The 27th HKMO was jointly organized by the MIT department and the math section of EdB. It aims to promote, encourage and sustain Secondary 4 students’ interests in the study of mathematics. In the 27th HKMO, there were 258 schools and 1350 students participated in the heat event and 40 schools and 240 students participated in the final event on 17 April 2010. A Mathematics Camp was also held on 15 May at the Fanling Baptist Village, where students enhanced their problem-solving skills by handling difficult Mathematics tasks.
Project Start Year: 2009, Principal Investigator(s): (YEE, Tat Leung 余達良 as Team Member)