Research Output per year

## Personal profile

### Personal profile

Chinese Name : 阮文威

Variants : Yuen, M.

Dr. Yuen Manwai (Manwai Yuen) has been an assistant professor since 2014 in the Department of Mathematics and Information Technology at the Education University of Hong Kong (The Hong Kong Institute of Education), and as a lecturer from 2011-14. 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; a MSc in math in 2004 and a PGDE in math education in 2007 from the Chinese University of Hong Kong; and a Ph.D. in applied math from the Hong Kong Polytechnics University in 2012, under the supervision of Prof. Kwong Man Kam, an ISI most highly cited mathematician 2001.

Dr. Yuen is a Hong Kong registered teacher. From 2003-07 he was a part-time instructor, teaching Project Yijin math in Caritas Institute of Further and Adult Education in Kowloon; a full-time lecturer of math and statistics courses in the Hang Seng School of Commerce from 2007-08; and a tutor of undergraduate math courses in the City University of Hong Kong from 2004-06 and the Hong Kong Polytechnics University from 2008-09.

Dr. Yuen's research interest is applied analysis of nonlinear partial differential equations, specially involving blowup phenomena and similar solutions. Dr. Yuen's 49 journal papers (with 43 SCI or SCIE) were published by 22 international Math and Physics journals, including *Journal of Mathematical Analysis and Applications*, C*ommunications in Nonlinear Science and Numerical Simulation*, *Journal of Mathematical Physics, Physics Letters A, Nonlinear Analysis *and *Studies in Applied Mathematics*. His published papers have accumulated 263 citations and a H-index 10 from Scopus. Meanwhile, he has also published 2 academic books. He is also an editorial member of the *International Journal of Numerical Methods and Applications; the International Journal of Partial Differential Equations; and Applications and the International Journal of Applied & Experimental Mathematics.*

### Research interests

Math: Partial Differential Equations, Blowup, Self-similar Solutions, Euler-Poisson Equations, Navier-Stokes Equations, Camassa-Holm Equations, Mathematical Methods in Fluids, Classical Cosmology

Math Education: Methodology of Mathematics, Mathematical Reasoning

### Professional information

Scopus ID : 35093581700

ORCID : 0000-0002-5035-3555

Researcher ID : B-1210-2008

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## Research Outputs 2007 2019

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

AN, H., HOU, L. & YUEN, M. W., 2019, In : Journal of Nonlinear Mathematical Physics. 26, 2, p. 255-272Research output: Contribution to journal › Article

## Analytical solutions and integrable structure of the time-dependent harmonic oscillator with friction

AN, H., CHAN, W. H., LI, B. & YUEN, M. W., Feb 2019, In : Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences.Research output: Contribution to journal › Article

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

FAN, E. & YUEN, M. W., May 2019, In : Applied Mathematics Letters.Research output: Contribution to journal › Article

## Blowup for regular solutions and C¹ solutions of Euler equations in Rᴺ with a free boundary

YUEN, M. W., 2018, In : European Journal of Mechanics, B/Fluids. 67, p. 427-432Research output: Contribution to journal › Article

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

CHEUNG, K. L., WONG, S. & YUEN, M. W., 2018, In : Journal of Mathematical Physics. 59, 4, 041502.Research output: Contribution to journal › Article