If you made any changes in Pure these will be visible here soon.

Research Outputs 2007 2019

Filter
Article
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. 255-272

Research output: Contribution to journalArticle

Camassa-Holm Equation
Cartesian
Harmonic Oscillator
dynamical systems
harmonic oscillators
Vortex
Friction

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

FAN, E. & YUEN, M. W., Nov 2019, In : Applied Mathematics Letters. 97, p. 53-59

Research output: Contribution to journalArticle

Peakon
Weak Solution
Fans
Camassa-Holm Equation

Similarity reductions and exact solutions for two-dimensional Euler–Boussinesq equations

FAN, E. G. & YUEN, M. W., 30 Sep 2019, In : Modern Physics Letters B. 33, 27, 1950328.

Research output: Contribution to journalArticle

vorticity
linearization
traveling waves
2018
2 Citations (Scopus)
Regular Solution
free boundaries
Free Boundary
Euler Equations
Blow-up
1 Citation (Scopus)
Compressible Euler Equations
Test function
boundary value problems
Initial-boundary-value Problem
Blow-up
2017
7 Citations (Scopus)

Blowup for irrotational C¹ solutions of the compressible Euler equations in Rᴺ

YUEN, M. W., Jul 2017, In : Nonlinear Analysis. 158, p. 132-141

Research output: Contribution to journalArticle

Compressible Euler Equations
Blow-up
Life Span
Fluid Dynamics
Complement
Euler-Poisson Equations
Cartesian
Dependent
India
Curve
2 Citations (Scopus)

Explicitly self-similar solutions for the Euler/Navier–Stokes–Korteweg equations in Rᴺ

CHEN, Y., FAN, E. & YUEN, M. W., May 2017, In : Applied Mathematics Letters. 67, p. 46-52

Research output: Contribution to journalArticle

Self-similar Solutions
Euler equations
Navier-Stokes
Euler Equations
Ordinary differential equations
1 Citation (Scopus)

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

AN, H., KWONG, M. K. & YUEN, M. W., 2017, In : Electronic Journal of Differential Equations. 2017, 48, p. 1-12

Research output: Contribution to journalArticle

Self-similar Solutions
Degasperis-Procesi Equation
Shallow Water Flow
Characteristics Method
Type Systems

Pulsating flows of the 2D Euler–Poisson equations

KWONG, M. K. & YUEN, M. W., Dec 2017, In : Journal of Differential Equations. 263, 12, p. 8508-8532

Research output: Contribution to journalArticle

Euler-Poisson Equations
Shell
Blow-up of Solutions
Compact Support
Ring or annulus

Some analytical solutions for the Euler and euler-poisson equations

YEUNG, L. H. & YUEN, M. W., 2017, In : Neural, Parallel and Scientific Computations. 25, 1, p. 37-44

Research output: Contribution to journalArticle

Euler-Poisson Equations
Euler equations
Poisson equation
Euler
Analytical Solution
3 Citations (Scopus)

The analytical solutions for the N-dimensional damped compressible Euler equations

CHOW, K. W., FAN, E. & YUEN, M. W., Apr 2017, In : Studies in Applied Mathematics. 138, 3, p. 294-316

Research output: Contribution to journalArticle

Compressible Euler Equations
Euler equations
Damped
Analytical Solution
Euler Equations
2016
3 Citations (Scopus)

Blowup of regular solutions for the relativistic Euler-Poisson equations

CHAN, W. H., WONG, S. & YUEN, M. W., 2016, In : Journal of Mathematical Analysis and Applications. 439, 2, p. 925-936

Research output: Contribution to journalArticle

Euler-Poisson Equations
Regular Solution
Poisson equation
Blow-up
Spherical Symmetry
3 Citations (Scopus)

New method for blowup of the Euler-Poisson system

KWONG, M. K. & YUEN, M. W., 2016, In : Journal of Mathematical Physics. 57, 8, 083501.

Research output: Contribution to journalArticle

Blow-up
Euler
Siméon Denis Poisson
Differential Inequalities
1 Citation (Scopus)
Characteristics Method
Self-similar Solutions
Tsunami
Camassa-Holm Equation
Shallow Water
4 Citations (Scopus)

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

CHEN, Y., FAN, E. & YUEN, M. W., 2016, In : Physics Letters A. 380, 1-2, p. 9-14

Research output: Contribution to journalArticle

Solitons
n-dimensional
Fusion
Velocity Field
Burgers Equation
2015
9 Citations (Scopus)

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

WONG, S. & YUEN, M. W., Oct 2015, In : Zeitschrift für angewandte Mathematik und Physik. 66, 5, p. 2941-2955

Research output: Contribution to journalArticle

Compressible Euler Equations
Blow-up
Cover
Symmetry
Testing

Nonlinear exact solutions of the 2-dimensional rotational Euler equations for the incompressible fluid

AN, H-L., YANG, J-J. & YUEN, M. W., May 2015, In : Communications in Theoretical Physics. 63, 5, p. 613-618

Research output: Contribution to journalArticle

incompressible fluids
Earth rotation
differential equations
solitary waves
gravitation
5 Citations (Scopus)
Compressible Euler Equations
Radial Solutions
Self-similar Solutions
Euler equations
Computational Fluid Dynamics
7 Citations (Scopus)

The Cartesian vector solutions for the N-dimensional compressible Euler equations

AN, H., FAN, E. & YUEN, M. W., 2015, In : Studies in Applied Mathematics. 134, 1, p. 101-119

Research output: Contribution to journalArticle

Compressible Euler Equations
Euler equations
Cartesian
Orthogonal matrix
Antisymmetric
2014
1 Citation (Scopus)
Cosmology
Euler-Poisson Equations
Blow-up
Cosmological Constant
Standard Model
3 Citations (Scopus)
Poisson equation
Testing
Probability density function
boundary condition
Boundary conditions
2 Citations (Scopus)
Density-dependent Viscosity
Compressible Navier-Stokes Equations
Navier-Stokes equation
Analytical Solution
tsunami waves
4 Citations (Scopus)
Euler-Poisson Equations
Galaxies
Periodic Solution
Astrophysics
Blow-up
6 Citations (Scopus)

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

FAN, E. & YUEN, M. W., Jan 2014, In : Physics Letters A. 378, 7-8, p. 623-626

Research output: Contribution to journalArticle

Similarity Reduction
Incompressible Euler Equations
Exact Solution
Linear Forms
Reduction Method
7 Citations (Scopus)
Radial Symmetry
Compressible Euler Equations
Blow-up Time
Self-similar Solutions
Euler equations
2013
1 Citation (Scopus)

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 journalArticle

Compressible Euler Equations
Camassa-Holm Equation
Compressible Navier-Stokes Equations
Self-similar Solutions
Burgers Equation
Blow-up
Boundary conditions
Global Existence
Fluid Dynamics
Japan

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

YEUNG, L. H. & YUEN, M. W., Jan 2013, In : Far East Journal of Mathematical Sciences. 72, 2, p. 313-329

Research output: Contribution to journalArticle

Euler-Poisson Equations
Euler
Line
Traveling Wave Solutions
Damping

Stabilities for Euler-Poisson equations with repulsive forces in Rᴺ

YUEN, M. W., 2013, In : International Journal of Mathematical Analysis. 7, 56, p. 2787-2795

Research output: Contribution to journalArticle

Euler-Poisson Equations
Collapsing
Compact Support
Classical Solution
7 Citations (Scopus)
Compressible Euler Equations
Compressible Navier-Stokes Equations
Self-similar Solutions
Navier Stokes equations
Euler
2012
3 Citations (Scopus)
Blow-up Solution
Euler equations
Euler Equations
Exact Solution
Generalise
10 Citations (Scopus)
19 Citations (Scopus)
Compressible Euler Equations
Compressible Navier-Stokes Equations
Self-similar Solutions
Navier Stokes equations
Euler
2011
2 Citations (Scopus)
Euler-Poisson Equations
Blow-up Solution
Poisson equation
Star
Radial Symmetry
8 Citations (Scopus)
Density-dependent Viscosity
Poisson equation
Poisson's equation
Navier-Stokes Equations
Analytical Solution
12 Citations (Scopus)
21 Citations (Scopus)

Cylindrical blowup solutions to the Isothermal Euler-Poisson Equations

YUEN, M. W., Sep 2011, In : Discrete and Continuous Dynamical Systems- Series A. 2011, SUPPL., p. 1448-1456

Research output: Contribution to journalArticle

Euler-Poisson Equations
Blow-up Solution
Poisson equation
Stars
Star
12 Citations (Scopus)

Exact, rotational, infinite energy, blowup solutions to the 3-dimensional Euler equations

YUEN, M. W., Aug 2011, In : Physics Letters A. 375, 35, p. 3107-3113

Research output: Contribution to journalArticle

Blow-up Solution
Euler Equations
Euler
Global Solution
Navier-Stokes Equations
11 Citations (Scopus)

Perturbational blowup solutions to the compressible 1-dimensional Euler equations

YUEN, M. W., Oct 2011, In : Physics Letters A. 375, 44, p. 3821-3825

Research output: Contribution to journalArticle

Blow-up Solution
Euler Equations
Ordinary differential equation
Tsunami
Global Solution
9 Citations (Scopus)
10 Citations (Scopus)
2010
19 Citations (Scopus)

Self-similar blowup solutions to the 2-component Camassa–Holm equations

YUEN, M. W., 2010, In : Journal of Mathematical Physics. 51, 9, 093524.

Research output: Contribution to journalArticle

2 Citations (Scopus)

Some exact blowup solutions to simple cosmology models

YEUNG, L. H. & YUEN, M. W., 2010, In : Applied Mathematical Sciences. 4, 67, p. 3317-3326

Research output: Contribution to journalArticle

2009
11 Citations (Scopus)
Density-dependent Viscosity
Blow-up Solution
Viscosity
Euler-Poisson Equations
viscosity
10 Citations (Scopus)
stars
stellar cores
periodic variations
exponents