CHEUNG Ka Luen

Research Outputs

Research Output per year

2008 2020

• 46 Citations
• 4 h-Index
• 48 Articles
• 16 Papers
• 6 Books
• 5 Chapters
• 7 More
  • 4 Other contributions
  • 3 Teaching Development Grants (TDG)

Research Output per year

Research Output per year

Search results

• 2020

  Finite-time blowup of smooth solutions for the relativistic generalized Chaplygin Euler equations

  CHEUNG, K. L. & WONG, S., Sep 2020, In: Journal of Mathematical Analysis and Applications. 489, 2, 124193.

  Research output: Contribution to journal › Articles › peer-review

  • Chaplygin Gas
  • Euler equations
  • Finite Time Blow-up
  • Smooth Solution
  • Euler Equations

• Finite-time singularity formation for the original multidimensional compressible Euler equations for generalized Chaplygin gas

  CHEUNG, K. L. & WONG, S., Apr 2020, In: Zeitschrift fur Angewandte Mathematik und Physik. 71, 2, 62.

  Research output: Contribution to journal › Articles › peer-review

  • Chaplygin Gas
  • Finite-time Singularities
  • Compressible Euler Equations
  • Euler equations
  • Momentum

• Global existence of the three‐dimensional compressible Euler equations for generalized Chaplygin gas with damping

  CHEUNG, K. L., Aug 2020, In: Mathematical Methods in the Applied Sciences.

  Research output: Contribution to journal › Articles › peer-review

  • Chaplygin Gas
  • Compressible Euler Equations
  • Euler equations
  • Damping
  • Global Existence

• Local sharp maximal functions, geometrical maximal functions and rough maximal functions on local Morrey spaces with variable exponents

  YEE, T. L., CHEUNG, K. L., HO, K. P. V. & SUEN, C. K. A., Oct 2020, In: Mathematical Inequalities & Applications. 23, 4, p. 1509-1528

  Research output: Contribution to journal › Articles › peer-review

  • Morrey Space
  • Variable Exponent
  • Maximal Function
  • Rough
  • Extrapolation

• New weighted functional for non-existence of global solutions to the non-isentropic compressible Euler equations

  CHEUNG, K. L., Mar 2020, In: European Journal of Mechanics - B/Fluids. 80, p. 26-31

  Research output: Contribution to journal › Articles › peer-review
  1 Citation (Scopus)

• On finite-time blowup mechanism of irrotational compressible Euler equations with time-dependent damping

  CHEUNG, K. L. & WONG, S., 22 Nov 2020, In: Applicable Analysis.

  Research output: Contribution to journal › Articles › peer-review

  • Compressible Euler Equations
  • Euler equations
  • Finite Time Blow-up
  • Damping
  • Smooth Solution

• Performance of sixth graders in Hong Kong on a number sense three-tier test

  CHEUNG, K. L. & YANG, D-C., 2020, In: Educational Studies. 46, 1, p. 39-55

  Research output: Contribution to journal › Articles › peer-review

  • Hong Kong
  • confidence
  • performance
  • confidence level
  • reasonableness
  2 Citations (Scopus)

• The lifespan of classical solutions to the (damped) compressible Euler equations

  CHEUNG, K. L. & WONG, S., 17 Oct 2020, In: Bulletin of the Malaysian Mathematical Sciences Society.

  Research output: Contribution to journal › Articles › peer-review

  • Compressible Euler Equations
  • Life Span
  • Damped
  • Classical Solution
  • Malaysia
• 2019

  Finite-time singularity formation for C¹ solutions to the compressible Euler equations with time-dependent damping

  CHEUNG, K. L. & WONG, S., Aug 2019, In: Applicable Analysis.

  Research output: Contribution to journal › Articles › peer-review

  • Finite-time Singularities
  • Compressible Euler Equations
  • Euler equations
  • Damping
  • Boundary value problems
  1 Citation (Scopus)

• Multiplicity results for the scalar curvature equation on S²

  CHEUNG, K. L., 2019, In: Advances in Theoretical and Applied Mathematics. 14, 1, p. 17-46

  Research output: Contribution to journal › Articles › peer-review

  • Multiplicity Results
  • Scalar Curvature
  • Harmonic Polynomials
  • Topological Degree
  • Spherical Harmonics
• 2018

  Blowup of solutions for the initial boundary value problem of the 3‐dimensional compressible damped Euler equations

  CHEUNG, K. L., Aug 2018, In: Mathematical Methods in the Applied Sciences. 41, 12, p. 4754-4762

  Research output: Contribution to journal › Articles › peer-review

  • Euler equations
  • Blow-up of Solutions
  • Boundary value problems
  • Damped
  • Euler Equations
  4 Citations (Scopus)

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

  CHEUNG, K. L., WONG, S. & YUEN, M. W., Apr 2018, In: Journal of Mathematical Physics. 59, 4, 041502.

  Research output: Contribution to journal › Articles › peer-review

  • Compressible Euler Equations
  • Test function
  • boundary value problems
  • Blow-up
  • Initial-boundary-value Problem
  1 Citation (Scopus)

• Examining the differences of Hong Kong and Taiwan students' performance on the number sense three-tier test

  CHEUNG, K. L. & YANG, D-C., May 2018, In: Eurasia Journal of Mathematics, Science and Technology Education. 14, 7, p. 3329-3345

  Research output: Contribution to journal › Articles › peer-review

  • Taiwan
  • Hong Kong
  • Students
  • Performance
  • performance
  4 Citations (Scopus)

• On dry spot and droplet solutions for thin films on the plane

  CHEUNG, K. L., Aug 2018, In: Zeitschrift für angewandte Mathematik und Physik. 69, 4, 89.

  Research output: Contribution to journal › Articles › peer-review

  • Droplet
  • Thin Films
  • Stability of Solutions
  • Thin films
  • Energy
• 2017

  A symmetry result for an elliptic problem arising from the 2-D thin film equation

  CHEUNG, K. L. & CHOU, K. S., 2017, In: Proceedings of the American Mathematical Society. 145, 2, p. 853-860

  Research output: Contribution to journal › Articles › peer-review

  • Thin Film Equation
  • Thin films
  • Elliptic Problems
  • Symmetry
  2 Citations (Scopus)

• Blowup phenomena for the N-dimensional compressible Euler equations with damping

  CHEUNG, K. L., Feb 2017, In: Zeitschrift für angewandte Mathematik und Physik. 68, 27.

  Research output: Contribution to journal › Articles › peer-review

  • Compressible Euler Equations
  • Euler equations
  • Damping
  • Blow-up
  • damping
  5 Citations (Scopus)

• Energy stability of droplets and dry spots in a thin film model of hanging drops

  CHEUNG, K. L. & CHOU, K. S., Oct 2017, In: Zeitschrift für angewandte Mathematik und Physik. 68, 5, 104.

  Research output: Contribution to journal › Articles › peer-review

  • Droplet
  • Thin Films
  • Contact angle
  • Zero angle
  • Thin films
  1 Citation (Scopus)

• Finite propagation speed and finite time blowup of the Euler equations for generalized chaplygin gas

  CHEUNG, K. L., 2017, In: Advances in Theoretical and Applied Mathematics (ATAM). 12, 1, p. 51-63

  Research output: Contribution to journal › Articles › peer-review

  • Chaplygin Gas
  • Propagation Speed
  • Finite Time Blow-up
  • Euler Equations
  • Blow-up
• 2016

  Blowup phenomenon of solutions for the IBVP of the compressible euler equations in spherical symmetry

  CHEUNG, K. L. & WONG, S., Jan 2016, In: The Scientific World Journal. 2016, 3781760.

  Research output: Contribution to journal › Articles › peer-review

  • Euler equations
  • Boundary value problems
  • symmetry

• Existence and uniqueness of small energy weak solution to multi-dimensional compressible Navier-Stokes equations with large external potential force

  CHEUNG, K. L. & SUEN, C. K. A., 2016, In: Journal of Mathematical Physics. 57, 8, 081513.

  Research output: Contribution to journal › Articles › peer-review

  • uniqueness
  • Compressible Navier-Stokes Equations
  • Navier-Stokes equation
  • Weak Solution
  • Existence and Uniqueness

• On blowup phenomenon of solutions to the Euler equations for generalized chaplygin gas

  CHEUNG, K. L., 2016, In: Advances in Theoretical and Applied Mathematics. 11, 1, p. 1-16

  Research output: Contribution to journal › Articles › peer-review

  • Chaplygin Gas
  • Euler Equations
  • Blow-up
  • Blow-up Solution
  • Perturbation Method

• Perturbational blowup solutions to the compressible Euler equations with damping

  CHEUNG, K. L., Feb 2016, In: SpringerPlus. 5, 196.

  Research output: Contribution to journal › Articles › peer-review

  • Compressible Euler Equations
  • Blow-up Solution
  • Damping
  • Exact Solution
  • Blow-up

• Perturbational blowup solutions to the two-component dullin-gottwald-holm system

  CHEUNG, K. L., 2016, In: The Scientific World Journal. 2016, 5632798.

  Research output: Contribution to journal › Articles › peer-review

  • family
  • parameter
  • method

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

  AN, H., CHEUNG, K. L. & YUEN, M. W., Dec 2016, In: Turkish Journal of Mathematics. 40, 6, p. 1237-1245

  Research output: Contribution to journal › Articles › peer-review

  • Characteristics Method
  • Self-similar Solutions
  • Tsunami
  • Shallow Water
  • Camassa-Holm Equation
  1 Citation (Scopus)

• Rotational and self-similar blowup solutions for the Euler equations for generalized chaplygin gas

  CHEUNG, K. L., 2016, In: Advances in Theoretical and Applied Mathematics (ATAM). 11, 4, p. 317-330

  Research output: Contribution to journal › Articles › peer-review

  • Chaplygin Gas
  • Blow-up Solution
  • Euler Equations
  • Dark Energy
  • Dark Matter
• 2015

  Stabilities for nonisentropic euler-poisson equations

  CHEUNG, K. L. & WONG, S., Mar 2015, In: The Scientific World Journal. 2015, 494707.

  Research output: Contribution to journal › Articles › peer-review

  • Poisson equation
  • inertia
  • energy
  • method
• 2014

  Boundedness of Hardy-Littlewood maximal operator on block spaces with variable exponent

  CHEUNG, K. L. & HO, K. P. V., 2014, In: Czechoslovak Mathematical Journal. 64, 1, p. 159-171

  Research output: Contribution to journal › Articles › peer-review

  • Variable Exponent
  • Maximal Operator
  • Boundedness
  • Lebesgue Space
  • Banach Lattice
  13 Citations (Scopus)

• Exact self-similar perturbational solutions of Whitham-Broer-Kaup equations

  CHEUNG, K. L., 2014, In: Applied Mathematical Sciences. 8, 154, p. 7693-7701

  Research output: Contribution to journal › Articles › peer-review

  • Coincident
  • Camassa-Holm Equation
  • Physical Model
  • Self-similar Solutions
  • Burgers Equation

• Exact solutions for the two-dimensional incompressible magnetohydrodynamics equations

  CHEUNG, K. L., 2014, In: Applied Mathematical Sciences. 8, 119, p. 5915-5922

  Research output: Contribution to journal › Articles › peer-review

  • Solitons
  • Auxiliary equation
  • Magnetohydrodynamic Equations
  • Magnetohydrodynamics
  • Soliton Solution
  1 Citation (Scopus)
• 2013

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

  AN, H., CHEUNG, K. L. & YUEN, M. W., Nov 2013, In: Physics Letters A. 377, 37, p. 2275-2279

  Research output: Contribution to journal › Articles › peer-review

  • Burger equation
  • polynomials
  • phase diagrams
  1 Citation (Scopus)

• Competency of prospective Chinese mathematics teachers on mathematical argumentation and proof

  LEUNG, K. C. I., WONG, N-Y., SCHWARZ, B., CHEUNG, K. L., CHAN, W. S. & KAISER, G., 2013, In: The Mathematics Educator. 15, 1, p. 81-98

  Research output: Contribution to journal › Articles › peer-review

  • argumentation
  • mathematics
  • teacher
  • China
  • Hong Kong

• 一個關於正五邊形的尺規作圖及其教學的討論

  張家麟, Sep 2013, In: 數學教育期刊. 46, p. 60-76

  Research output: Contribution to journal › Articles › peer-review

• 一篇「圓」的小學教學札記

  張家麟, 張麗琼 & 鄭嘉雲, Sep 2013, In: 數學教育期刊. 46, p. 109-122

  Research output: Contribution to journal › Articles › peer-review

• 2012

  Nonexistence of global solutions for a family of nonlocal or higher-order parabolic problems

  CHEUNG, K. L. & ZHANG, Z., Dec 2012, In: Differential and Integral Equations. 25, 7, p. 787-800

  Research output: Contribution to journal › Articles › peer-review

  • Potential Well
  • Parabolic Problems
  • Global Solution
  • Nonexistence
  • Higher Order
  3 Citations (Scopus)

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

  CHEUNG, K. L. & YUEN, M. W., 2012, In: Results in Physics. 2, p. 55-57

  Research output: Contribution to journal › Articles › peer-review
• 2011

  什麼是負正則連分數？：漫談Reg與Neg

  張家麟 & 鄭曉暉, Sep 2011, In: 數學傳播. 35, 3, p. 50-63

  Research output: Contribution to journal › Articles › peer-review

• 從解「橫越沙漠」趣題談起：數學通識科手記

  張家麟, Jun 2011, In: 數學教育期刊. 45, p. 31-39

  Research output: Contribution to journal › Articles › peer-review

• 當電筒照在牆壁上：不要錯過探究數學的機會！

  黃衡之, 曾耀平 & 張家麟, Jun 2011, In: 數學教育期刊. 45, p. 75-84

  Research output: Contribution to journal › Articles › peer-review

• 香港新高中數學科校本評核：英國 GCSE 學科作業及澳洲昆士蘭州校本評核的啟示

  張家麟, 林智中, 黃毅英 & 何上沛, Jun 2011, In: 教育學報. 39, 1-2, p. 95-115

  Research output: Contribution to journal › Articles › peer-review

• 2010

  On the stability of single and multiple droplets for equations of thin film type

  CHEUNG, K. L. & CHOU, K. S., Dec 2010, In: Nonlinearity. 23, 12, p. 3003-3028

  Research output: Contribution to journal › Articles › peer-review

  • Droplet
  • Thin Films
  • Contact Angle
  • Thin films
  • Contact angle
  6 Citations (Scopus)

• The mathematical knowledge of elementary school teachers: A comparative perspective

  WONG, N. Y., ROWLAND, T., CHAN, W. S., CHEUNG, K. L. & HAN, N. S., Jun 2010, In: Journal of the Korea Society of Mathematical Education, series D: Research in mathematical education.. 14, 2, p. 173-194

  Research output: Contribution to journal › Articles › peer-review

  • elementary school teacher
  • Hong Kong
  • mathematics
  • subject teacher
  • audit

• 學校幾何課程的重整：為何教和如何教演繹幾何?

  張家麟, 黃毅英 & 林智中, 2010, In: 數學傳播. 34, 3, p. 13-33

  Research output: Contribution to journal › Articles › peer-review

• 為文科生寫的矩陣簡介

  張家麟 & 黃毅英, 2010, In: 香港數理教育學會會刊. 26, p. 17-24

  Research output: Contribution to journal › Articles › peer-review

• 2009

  探討橢圓的學與教

  黃毅英 & 張家麟, Jul 2009, In: 中學數學. 2009, 13, p. 1-4

  Research output: Contribution to journal › Articles › peer-review

• 探討橢圓的學與教（續）

  黃毅英 & 張家麟, Aug 2009, In: 中學數學. 2009, 15, p. 1-3

  Research output: Contribution to journal › Articles › peer-review

• 辯證、平和、周密細緻的數學課程改革：香港數學教育訪談錄

  袁震東, 梁貫成, 黃毅英 & 張家麟, 2009, In: 數學教學. 2009, 7, p. 封2, 1-2, 6

  Research output: Contribution to journal › Articles › peer-review

• 辯證、平和、周密細致的數學課程改革：香港數學教育訪談錄

  袁震東, 梁貫成, 黃毅英 & 張家麟, 2009, In: 數學教學. 2009, 7, p. 封二-7-2，7-6

  Research output: Contribution to journal › Articles › peer-review

• 2008

  皎潔終無倦：以摯誠求證真理：一個女數學家的故事

  張家麟, 2008, In: 數學教育期刊. 44, p. 32-38

  Research output: Contribution to journal › Articles › peer-review