- Email: mark.jones@kingston.ac.uk
- Location: Penrhyn Road
- Faculty: Faculty of Science, Engineering and Computing
- School: School of Computer Science and Mathematics
- Department: Department of Mathematics

I was educated at University College London where I graduated with a Bachelor of Science in Mathematics. I then moved to the University of Bath where I wrote my doctoral thesis entitled 'The Bifurcation and Secondary Bifurcation of Capillary-Gravity waves in the presence of symmetry' under the supervision of Professor JF Toland FRS. I then moved to the Queens University of Belfast and subsequently joined Kingston in 2000.

- Fluid Dynamics
- Water waves
- Applied nonlinear analysis
- Bifurcation theory

- BSc
- PhD

I am a member of the London Mathematical Society.

I am a Fellow of the Institute of Mathematics and its Applications.

I am a Chartered Mathematician.

My research is mostly concerned with the mathematical study of water waves. My early research work was quite pure mathematical in nature, consisting of a study of the waves which may bifurcate from the line of trivial solutions when the solution space of the underlying linearized model equation is two dimensional. I have returned to aspect of this problem throughout my career, generalising it to interfacial waves.

The other strand of my research involves a study of the stability of these waves. I have employed the method of multiple scales to show how they may be modelled by a pair of coupled nonlinear partial differential equations for the wave amplitudes. These equations can then be used to determine the stability properties of the waves.

Jump to: Article

Number of items: **28**.

Jones, Mark and Hunter, Gordon
(2019)
Conservation laws for a non-linear system describing the propagation of "triadic" waves.
*Proceedings of the Institute of Acoustics*, 41(1),
pp. 137-145.
ISSN (print) 1478-6095

Jones, MCW
(2018)
Double degeneracy in the immiscible Wilton ripple phenomenon : a three perturbation parameter problem in bifurcation theory.
*International Journal of Bifurcation and Chaos*,
ISSN (print) 0218-1274
(In Press)

Jones, M.C.W.
(2018)
Resonant interfacial capillary-gravity waves in the presence of damping effects.
*European Journal of Mechanics - B/Fluids*, 68,
pp. 20-29.
ISSN (print) 0997-7546

Jones, Mark
(2017)
A singularity in resonant interfacial fluid flow leading to role reversal in the space time continuum of the evolution equations.
*Wave Motion*, 75,
pp. 77-87.
ISSN (print) 0165-2125

Jones, M.C.W.
(2016)
Soliton solutions to coupled nonlinear evolution equations modelling a third harmonic resonance in the theory of capillary-gravity waves.
*Applied Mathematical Modelling*, 40(3),
pp. 2134-2142.
ISSN (print) 0307-904X

Jones, Mark
(2015)
Group equivariant singularity theory in the bifurcation of interfacial Wilton ripples.
*International Journal of Bifurcation and Chaos*, 25(11),
e1550147.
ISSN (print) 0218-1274

Jones, M.
(2011)
The bifurcation of interfacial capillary-gravity waves under O(2) symmetry.
*Communications on Pure and Applied Analysis*, 10(4),
pp. 1183-1204.

Jones, M.C.W.
(2010)
On 1:2 resonant waves which arise between two stratified fluids of finite vertical extent in the presence of mean flow effects.
*European Journal of Mechanics B/Fluids*, 29(5),
pp. 395-402.
ISSN (print) 0997-7546

Jones, M.C.W.
(2007)
Internal waves caused by the interaction of three harmonics under no restoring forces.
*Applied Mathematics Letters*, 20(7),
pp. 723-728.
ISSN (print) 0893-9659

Jones, Mark
(2001)
On the evolution and stability of interfacial ripples on and off the critical frequency.
*Geophysical and Astrophysical Fluid Dynamics*, 93(3/4),
pp. 143-172.
ISSN (print) 0309-1929

Jones, Mark
(2001)
On nonlinearly detuned third harmonic ripples between two stratified fluids.
*Quarterly of Applied Mathematics*, 59(2),
pp. 241-268.
ISSN (print) 0033-569X

Jones, Mark
(2000)
A codimension seven unfolding of a third harmonic resonant interaction between two contiguous continua.
*Zeitschrift fuer Angewandte Mathematik und Physik*, 51(5),
pp. 651-673.
ISSN (print) 0044-2275

Jones, M.
(1999)
A nonlinear multiple scales approach to modelling almost third harmonic interfaces.
*Zeitschrift für Angewandte Mathematik und Physik*, 50(1),
pp. 47-63.
ISSN (print) 0044-2275

Jones, M.
(1999)
Nonlinear nearly Wilton ripples between two uniform stream flows.
*The Quarterly Journal of Mechanics and Applied Mathematics*, 52(2),
pp. 237-252.
ISSN (print) 1464-3855

Jones, M.
(1997)
A new system of equations which predicts the evolution of a wave packet due to a fluid-fluid interaction under a narrow bandwidth assumption.
*Fluid Dynamics Research*, 21(6),
pp. 455-475.
ISSN (print) 0169-5983

Jones, M.
(1997)
Group invariances, unfoldings and the bifurcation of capillary-gravity waves.
*International Journal of Bifurcation and Chaos (ijbc)*, 7(6),
pp. 1243-1266.
ISSN (print) 0218-1274

Jones, M.C.W.
(1997)
Nonlinear ripples of Kelvin-Helmholtz type which arise from an interfacial mode interaction.
*Journal of Fluid Mechanics*, 341,
pp. 295-315.
ISSN (print) 0022-1120

Jones, M.
(1996)
Group invariances and second and third harmonic resonant capillary-gravity waves.
*Computers & Mathematics with Applications*, 32(10),
pp. 59-90.
ISSN (print) 0898-1221

Jones, Mark
(1996)
Evolution equations and stability results for finite-depth Wilton ripples.
*International Journal of Non-Linear Mechanics*, 31(1),
pp. 41-58.
ISSN (print) 0020-7462

Jones, M.
(1995)
On the stability of a wavetrain caused by interacting wave modes.
*Rocky Mountain Journal of Mathematics*, 25(1),
pp. 299-313.
ISSN (print) 0035-7596

Jones, M.C.W.
(1995)
Evolution equations which model the ripples arising from an adjacent mode interaction.
*Dynamics and Stability of Systems*, 10,
pp. 163-178.
ISSN (print) 1468-9367

Jones, M.C.W.
(1994)
Further results on the stability of symmetric and asymmetric resonant capillary-gravity waves.
*Japan Journal of Industrial and Applied Mathematics*, 11(3),
pp. 465-483.
ISSN (print) 0916-7005

Jones, M.
(1994)
On the stability of finite-depth capillary-gravity waves by means of the fourth order evolution equation.
*Canadian Applied Mathematics Quarterly*, 2(3),
pp. 325-348.
ISSN (print) 1073-1849

Jones, M.C.W.
(1993)
On coupled differential equations which model the evolution of interacting capillary-gravity wave modes and related questions of stability.
*IMA Journal of Applied Mathematics*, 50(1),
pp. 13-28.
ISSN (print) 0272-4960

Jones, M.
(1992)
Nonlinear stability of resonant capillary-gravity waves.
*Wave Motion*, 15(3),
pp. 267-283.
ISSN (print) 0165-2125

Jones, M. C. W.
(1992)
On the stability of a third harmonic resonant wavetrain.
*Stability and Applied Analysis of Continuous Media*, 2,
pp. 323-338.
ISSN (print) 1120-4222

Jones, M.
(1991)
A non-uniqueness theorem in the theory of Voronoi sets.
*International Journal of Mathematics and Mathematical Sciences*, 14(4),
pp. 817-820.
ISSN (print) 0161-1712

Jones, M. Christopher W.
(1990)
A public key cryptosystem as hard as a factorisation.
*Irish Mathematical Society Bulletin*, 24,
pp. 59-66.
ISSN (print) 0790-1690