Dr SUEN, Chun Kit Anthony    孫俊傑 博士
Associate Professor
Department of Mathematics and Information Technology
Contact
ORCiD
0000-0003-0230-3577
Phone
(852) 2948 7102
Email
acksuen@eduhk.hk
Address
10 Lo Ping Road, Tai Po, New Territories, Hong Kong
Website
https://pappl.eduhk.hk/rich/web/person.xhtml?pid=178531&name=SUEN, Chun Kit Anthony
Scopus ID
54973637600
Research Interests

My research focuses primarily on the existence theory and large-time behaviour of solutions of certain systems of partial differential equations. In particular, I am interested in the multidimensional compressible or incompressible fluid flow models with applications to Navier-Stokes equations, magnetohydrodynamics (MHD) and magneto-geostrophic (MG) equation. I also study mathematical biology such as chemotaxis and blood flow modelling.

External Appointments

2021 - 2023, Professional Advisor for Munsang College Primary School

2016 - 2019, Member of the Moderation Group for Construction of Pre-S1 Hong Kong Attainment Test


Personal Profile

Please also visit my personal website for more updated information.

Research Interests

My research focuses primarily on the existence theory and large-time behaviour of solutions of certain systems of partial differential equations. In particular, I am interested in the multidimensional compressible or incompressible fluid flow models with applications to Navier-Stokes equations, magnetohydrodynamics (MHD) and magneto-geostrophic (MG) equation. I also study mathematical biology such as chemotaxis and blood flow modelling.

External Appointments

2021 - 2023, Professional Advisor for Munsang College Primary School

2016 - 2019, Member of the Moderation Group for Construction of Pre-S1 Hong Kong Attainment Test


Research Outputs
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
Qasim Khan, Anthony Suen, Hassan Khan and Poom Kumam (2023). Comparative analysis of fractional dynamical systems with various operators. AIMS Mathematics, 8(6), 13943-13983.
Susan Friedlander and Anthony Suen (2023). On a class of forced active scalar equations with small diffusive parameters. Pure and Applied Functional Analysis, 8, 215-241.
Suen, A. (2022). Global regularity for the 3D compressible magnetohydrodynamics with general pressure. Discrete and Continuous Dynamical Systems - Series A, 42(6), 2927-2943.
Suen, A. (2022). Some Serrin type blow-up criteria for the three-dimensional viscous compressible flows with large external potential force. Mathematical Methods in the Applied Sciences, 45(4), 2072-2086.
Suen, A. (2022). Refined blow-up criteria for the three-dimensional viscous compressible flows with large external potential force and general pressure. Zeitschrift für angewandte Mathematik und Physik, 73(1), 1-19.
Suen, A. (2021). Existence, stability and long time behaviour of weak solutions of the three-dimensional compressible Navier-Stokes equations with potential force. Journal of Differential Equations, 299, 463-512.
Friedlander, S. and Suen, A. (2021). Correction to: Wellposedness and Convergence of Solutions to a Class of Forced Non-diffusive Equations with Applications. Journal of Mathematical Fluid Mechanics, 23 (81), 1-3.
Friedlander, S. and Suen, A. (2021). Vanishing diffusion limits and long time behaviour of a class of forced active scalar equations. Archive for Rational Mechanics and Analysis, 240(3), 1431-1485.
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.
Suen, A. (2020). Existence and a blow-up criterion of solution to the 3D compressible Navier-Stokes-Poisson equations with finite energy. Discrete and Continuous Dynamical Systems - Series A, 40 (3), 1775-1798.
Suen, A. (2020). Existence and uniqueness of low-energy weak solutions to the compressible 3D magnetohydrodynamics equations. Journal of Differential Equations, 268 (6), 2622-2671.
Friedlander, S. and Suen, A (2019). Wellposedness and convergence of solutions to a class of forced non-diffusive equations with applications. Journal of Mathematical Fluid Mechanics, 21(4), 21-50.
Friedlander, S. and Suen, A. (2018). Solutions to a Class of Forced Drift-Diffusion Equations with Applications to the Magneto-Geostrophic Equations. Annals of PDE, 4(2), 1-34.
Cheung, K.L. and Suen, A. (2016). Existence and Uniqueness of Small Energy Weak Solution to multi- dimensional compressible Navier-Stokes Equations with Large External Potential Force. Journal of Mathematical Physics, 57 (8), 081513, 1-19.
Li, T. and Suen, A. (2016). Existence of intermediate weak solution to the equations of three-dimensional chemotaxis systems. Discrete and Continuous Dynamical Systems - Series A, 36 (2), 861-875.
Friedlander, S. and Suen, A (2015). Existence, uniqueness and regularity results for the viscous magneto-geostrophic equation. Nonlinearity, 28 (9), 3193-3217.
Li, T., Suen, A., Winkler, M. and Xue, C. (2015). Global small-data solutions of a two-dimensional chemotaxis system with rotational flux terms. Mathematical Models & Methods in Applied Sciences, vol. 25 (no. 4), 721-746.
Suen, A. (2015). Corrigendum: A blow-up criterion for the 3D compressible magnetohydrodynamics in terms of density. Discrete and Continuous Dynamical Systems - Series A, vol. 35 (no. 3), 1387-1390.
Friedlander, S. and Suen, A (2014). Hölder continuity of solutions to the kinematic dynamo equations. Journal of Mathematical Fluid Mechanics, vol. 16 (no. 4), 691-700.
Suen, A. (2014). Existence of global weak solution to Navier-Stokes equations with large external potential force and general pressure. Mathematical Methods in the Applied Sciences, vol. 37 (no. 17), 2716-2727.
Suen, A. (2013). A blow-up criterion for the 3D compressible magnetohydrodynamics in terms of density. Discrete and Continuous Dynamical Systems - Series A, vol. 33 (no. 8), 3791-3805.
Suen, A. (2013). Global Solutions of the Navier-Stokes Equations for Isentropic Flow with Large External Potential Force. Zeitschrift für angewandte Mathematik und Physik, vol. 64 (no. 3), 767-784.
Suen, A. and Hoff, D. (2012). Global low-energy weak solutions of the equations of 3D compressible magnetohydrodynamics. Archive for Rational Mechanics and Analysis, vol. 205 (no.1), 27-58.
Suen, A. (2012). Nonexistence of self-similar singularities in the ideal viscoelastic flow. Electronic Journal of Differential Equations, vol. 2012 (no. 93), 1-7.

Conference Papers
Other conference paper
Suen, A. (2015, June). How to do math-related presentations using LATEX.

All Other Outputs
Postgraduate research theses
Suen, A. (2012). Global low-energy weak solutions of the equations of 3D magnetohydrodynamics. United States: ProQuest LLC.
Suen, A. (2007). Survey on Heegaard Floer Homology. Hong Kong: Chinese University of Hong Kong. Graduate School. Division of Mathematics.

Projects
Wellposedness and singularity formation of inviscid active scalar equations with even or odd constitutive laws
This is a RGC funded project through the General Research Fund (GRF) with the amount of HK$653,250. The present project studies an abstract class of inviscid active scalar equations with even or odd constitutive laws. We propose to address the well-posedness and possible formation of finite time singularity, which have applications on various physical models including the magneto-geostrophic equation, incompressible porous media Brinkman equation and surface quasi-geostrophic equation.
Project Start Year: 2023, Principal Investigator(s): SUEN, Chun Kit, Anthony

 
Croucher Foundation Visitorship for PRC Scholars 2022/23
The funding supports Dr Xi Shuai, 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. Global well-posedness of the mild solution to the two-dimensional incompressible MHD equations with Coriolis Force
2. Global well-posedness of the mild solution to incompressible nematic liquid crystal flow
Project Start Year: 2022, Principal Investigator(s): YUEN, Man Wai 阮文威 (SUEN, Chun Kit Anthony 孫俊傑 as Co-Investigator)

 
Asymptotic Behavior and Anomalous Dissipation of a General Class of Forced Active Scalar Equations
This is a RGC funded project through the General Research Fund (GRF) with the amount of HK$598,015. The present project studies an abstract class of forced active scalar equations with emphasis on well-posedness, long time behaviour and anomalous dissipation, which arises in a variety of physical models including the magneto-geostrophic equation, incompressible porous media Brinkman equation and surface quasi-geostrophic equation.
Project Start Year: 2022, Principal Investigator(s): SUEN, Chun Kit Anthony 孫俊傑

 
Wellposedness on some classes of fluid equations
This project is funded by EdUHK Dean’s Research Fund. The present project will focus on different mathematical questions relating to the wellposedness of certain systems of partial differential equations associated with fluids.
Project Start Year: 2021, Principal Investigator(s): SUEN, Chun Kit Anthony 孫俊傑

 
Inviscid limit and long time behaviour for a class of active scalar equations with physical applications
This is a RGC funded project through the General Research Fund (GRF) with the amount of HK$396,967. The present project studies an abstract class of active scalar equations with emphasis on the vanishing viscosity limit and long time behaviour, as a key step in studying some physical models which include the magneto-geostrophic equation and incompressible porous media Brinkman equation.
Project Start Year: 2021, Principal Investigator(s): SUEN, Chun Kit Anthony 孫俊傑

 
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 (SUEN, Chun Kit Anthony 孫俊傑 as Co-Investigator)

 
Wellposedness and Vanishing Diffusion Parameters Limits of the Magneto-geostrophic Equation
This is a RGC funded project through the Early Career Scheme (ECS) with the amount of HK$409,423. The present project focuses on different mathematical questions relating to a three-dimensional active scalar equation called the magneto-geostrophic (MG) equation, which was proposed by Moffatt and Loper as a model for the geodynamo processes in the Earth’s fluid core.
Project Start Year: 2017, Principal Investigator(s): SUEN, Chun Kit Anthony 孫俊傑

 
Global existence and propagation of singularities of solutions to the multi-dimensional incompressible MHD with zero resistivity and discontinuous initial data
This project is funded by HKIEd Internal Research Grant. We study the global existence and propagation of singularities of weak solutions of the incompressible magneto-hydrodynamics (MHD) with zero resistivity in two spatial dimensions.
Project Start Year: 2015, Principal Investigator(s): SUEN, Chun Kit Anthony 孫俊傑

 
Existence of intermediate weak solutions to the equations of multi-dimensional chemotaxis
This project is funded by HKIEd Start-up Research Grant. We study the global-in-time existence of intermediate weak solutions of the equations of chemotaxis system in a bounded domain with small initial chemical concentration.
Project Start Year: 2015, Principal Investigator(s): SUEN, Chun Kit Anthony 孫俊傑

 
Existence, uniqueness and regularity results for the viscous magneto-geostrophic equations
This project is funded by HKIEd Dean’s Research Fund. The present project will focus on different mathematical questions relating to the existence, uniqueness, regularity and large-time behavior of solutions of certain systems of partial differential equations known as magneto-geostrophic (MG) equations.
Project Start Year: 2015, Principal Investigator(s): SUEN, Chun Kit Anthony 孫俊傑

 
Prizes and awards
Research Output Prize for the Dean’s Research Fund 2021/22

Date of receipt: 6/6/2022, Conferred by: FLASS
 
President’s Awards for Outstanding Performance in Research 2021/22

Date of receipt: 27/4/2022, Conferred by: EdUHK