Manwai Yuen (0000-0002-5035-3555)

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Dr. Yuen Manwai (Manwai Yuen) has been an assistant professor since 2014 in the Department of Mathematics and Information Technology at the Hong Kong Institute of Education, and as a lecturer from 2011 to 2014. Dr. Yuen obtained a BSc (1st Hons) in computing math in 2003 and a MPhil in math in 2006 from the City University of Hong Kong. He obtained a MSc in math in 2004 and a PGDE in math education in 2007 from the Chinese University of Hong Kong. He recieved a Ph.D. in applied math from the Hong Kong Polytechnics University in 2012, under the supervision of Prof. Kwong Man Kam, who is an ISI most highly cited mathematician 2001.

Dr. Yuen is a Hong Kong registered teacher. From 2003 to 2007 he was a part-time instructor, teaching Project Yijin math in Caritas Institute of Further and Adult Education in Kowloon. He was a full-time lecturer of math and statistics courses in the Hang Seng School of Commerce from 2007 to 2008. He was also a tutor of undergraduate math courses in the City University of Hong Kong from 2004 to 2006 and the Hong Kong Polytechnics University from 2008 to 2009. Dr Yuen has the experience for teaching the following courses in Hong Kong Institute of Education.

MTH 1025 Geometry and Measurement, MTH 1098 Calculus, MTH 2016/5015 Elementary Number Theory, MTH 2030 Learning Teaching and Assessment in Primary Math, MTH 2050/5050 Recreational Math

MTH 2100/3100 Vectors and Geometry, MTH 2110 Essential Mathematics Concepts, MTH 2111 Development of Mathematical Ideas, MTH 4900 Honor Projects II, FEX 5070/5077/5086/5129/5131/5133 Field Experience I/II

Dr. Yuen's research interest is applied analysis of nonlinear partial differential equations, specially involving blowup phenomena and similar solutions. Dr. Yuen's 40 journal papers (which all papers were indexed by Scopus, with 34 SCI or SCIE) were published by 17 international Math or Physics journals, including Communications in Nonlinear Science and Numerical Simulation, Journal of Mathematical Analysis and Applications, Physics Letters A, Journal of Mathematical Physics, Nonlinearity and Classical and Quantum Gravity. His published papers have accumulated 204 citations and a H-index 8 from Scopus. Meanwhile, he has also published two academic books. He is also an editorial member of the Scientific World Journal, International Journal of Numerical Methods and Applications and International Journal of Partial Differential Equations and Applications.

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Hong Kong Institute of Education: Hong Kong, HK, CN

2014-07-01 to present | Assistant Professor (Mathematics and Information Technology)

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Manwai Yuen

https://orcid.org/0000-0002-5035-3555

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Employment (5)

Hong Kong Institute of Education: Hong Kong, HK, CN

Hong Kong Institute of Education: Hong Kong, HK, CN

Hong Kong Polytechnic University: Kowloon, HK, CN

Hang Seng School of Commerce: Shatin, HK, CN

Caritas Hong Kong: Hong Kong, HK, CN

Education and qualifications (5)

Hong Kong Polytechnic University: Kowloon, HK, CN

Chinese University of Hong Kong: Hong Kong, HK, CN

City University of Hong Kong: Kowloon, HK, CN

Chinese University of Hong Kong: Hong Kong, HK, CN

City University of Hong Kong: Kowloon, HK, CN

Works (50 of 68)

Characteristic Analysis of Local Wave Solutions for the (21)-Dimensional Asymmetric Nizhnik–Novikov–Veselov Equation

Effects of geogebra-enhanced scratch computational thinking instruction on fifth-grade students' motivation, anxiety, cognitive load

On the global well-posedness for the Fokas-Lenells equation on the line

Formation of Singularity for Isentropic Irrotational Compressible Euler Equations

Optimal System, Symmetry Reductions and Exact Solutions of the (2 + 1)-Dimensional Seventh-Order Caudrey–Dodd–Gibbon–KP Equation

N-Dimensional Lattice Integrable Systems and Their bi-Hamiltonian Structure on the Time Scale Using the R-Matrix Approach

Integrating computational thinking into primary mathematics: A case study of fraction lessons with Scratch programming activities

Exact solutions for the shallow water equations in two spatial dimensions: A model for finite amplitude rogue waves

Harmonic solutions and weak solutions of two-dimensional rotational incompressible Euler equations

A Relativistic Toda Lattice Hierarchy, Discrete Generalized (m,2N−m)-Fold Darboux Transformation and Diverse Exact Solutions

Exact solutions to the three-dimensional incompressible magnetohydrodynamics equations without viscosity

Blowup for projected 2-dimensional C2 solutions of compressible Euler equations with Coriolis force

Double Wronskian solutions to the (2+1)-dimensional Broer–Kaup–Kupershmidt equation

Blowup for Projected $$\mathbf {2}$$-Dimensional Rotational $${\mathbf {C}}^{2}$$ Solutions of Compressible Euler Equations

Peakon weak solutions for the rotation-two-component Camassa–Holm system

Analytical Solutions and Integrable Structure of the Time-Dependent Harmonic Oscillator With Friction

Analytical Cartesian solutions of the multi-component Camassa-Holm equations

Blowup phenomenon for the initial-boundary value problem of the non-isentropic compressible Euler equations

Blowup for regular solutions and C 1 solutions of Euler equations in R N with a free boundary

Explicitly self-similar solutions for the Euler/Navier–Stokes–Korteweg equations in R<sup>N</sup>

Perturbational self-similar solutions for multi-dimensional camassa-holm-type equations

The Analytical Solutions for the N-Dimensional Damped Compressible Euler Equations

Pulsating flows of the 2D Euler–Poisson equations

Blowup for irrotational C 1 solutions of the compressible Euler equations in R N

Blowup of regular solutions for the relativistic Euler-Poisson equations

Perturbational self-similar solutions for the 2-component Degasperis-Procesi system via a characteristic method

The Hopf-Cole transformation, topological solitons and multiple fusion solutions for the n-dimensional Burgers system

New method for blowup of the Euler-Poisson system

Blow-up phenomena for compressible Euler equations with non-vacuum initial data

Nonlinear Exact Solutions of the 2-Dimensional Rotational Euler Equations for the Incompressible Fluid

Rotational and self-similar solutions for the compressible Euler equations in R3

The Cartesian Vector Solutions for the N-Dimensional Compressible Euler Equations

Blowup for C2 solutions of the N-dimensional Euler-Poisson equations in Newtonian cosmology

Blowup phenomena for the compressible euler and euler-poisson equations with initial functional conditions

Drifting solutions with elliptic symmetry for the compressible Navier-Stokes equations with density-dependent viscosity

Periodic solutions of 2D isothermal Euler-Poisson equations with possible applications to spiral and disk-like galaxies

Similarity reductions and new nonlinear exact solutions for the 2D incompressible Euler equations

Vortical and self-similar flows of 2D compressible Euler equations

A class of blowup and global analytical solutions of the viscoelastic Burgers equations

Blowup for the inviscid proudman-johnson equation with the homogeneous three-point boundary condition

Line solutions for the euler and euler-poisson equations with the multiple gamma law

Stabilities for Euler-Poisson equations with repulsive forces in RN

Supplement to "Self-similar solutions with elliptic symmetry for the compressible Euler and Navier-Stokes equations in RN" [Commun. Nonlinear Sci. Numer. Simul. 17 (2012) 4524-4528]

Department course selection problem: The primitive cognitive network process approach

Note for "Some Exact Blowup Solutions to the pressureless Euler equations in RN" [Commun. Nonlinear Sci. Numer. Simul. 16 (2011) 2993-2998]

Perturbational blowup solutions to the 2-component Camassa-Holm equations

Self-similar solutions with elliptic symmetry for the compressible Euler and Navier-Stokes equations in R N

Some exact blowup or global solutions for the non-isentropic Navier-Stokes equations with density-dependent viscosity

Analytical blowup solutions to the 2-dimensional isothermal Euler-Poisson equations of gaseous stars II

Analytical solutions to the Navier-Stokes-Poisson equations with density-dependent viscosity and with pressure

Peer review (10 reviews for 7 publications/grants)