Dr Mark Jones
Faculties, departments and locations
- Faculty of Engineering, Computing and the Environment
- Department of Computer Science
- School of Computer Science and Mathematics
- Penrhyn Road
Senior Lecturer
- Email:
- [email protected]
About
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.
Qualifications
- BSc
- PhD
Domains
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.
Publications
Space-efficient secret sharing based on matrix normal forms
Pfluegel, Eckhard, Arshad, Razi and Jones, Mark, 2026, Cryptography (10), 3, E-pub ahead of print
On two types of stability of solutions to a pair of damped coupled nonlinear evolution equations
Jones, Mark, 2024, Official Publication - EuroSDR (14), 5pp 354-366, Published
Double degeneracy in the immiscible Wilton ripple phenomenon: a three perturbation parameter problem in bifurcation theory
Jones, M. C.W., 2021, International Journal of Bifurcation and Chaos (31), 13, Published
Conservation laws for a non-linear system describing the propagation of "triadic" waves
Hunter, Gordon and Jones, Mark, 2019, Proceedings of the Institute of Acoustics (41), 1pp 137-145, Published
Resonant interfacial capillary-gravity waves in the presence of damping effects
Jones, M. C.W., 2018, European Journal of Mechanics, B/Fluids (68)pp 20-29, Published
A singularity in resonant interfacial fluid flow leading to role reversal in the space time continuum of the evolution equations
Jones, Mark, 2017, Wave Motion (75)pp 77-87, Published
Soliton solutions to coupled nonlinear evolution equations modelling a third harmonic resonance in the theory of capillary-gravity waves
Jones, M. C.W., 2016, Applied Mathematical Modelling (40), 3pp 2134-2142, Published
Group equivariant singularity theory in the bifurcation of interfacial Wilton ripples
Jones, Mark, 2015, International Journal of Bifurcation and Chaos (25), 11, Published
Post-operative urinary retention
Steggall, Martin, Treacy, Colm and Jones, Mark, 2013, Nursing Standard (28), 5pp 43-48, Published
The bifurcation of interfacial capillary-gravity waves under O(2) symmetry
Jones, Mark, 2011, Communications on Pure and Applied Analysis (10), 4pp 1183-1204, Published
On 1: 2 resonant waves which arise between two stratified fluids of finite vertical extent in the presence of mean flow effects
Jones, M. C.W., 2010, European Journal of Mechanics, B/Fluids (29), 5pp 395-402, Published
Internal waves caused by the interaction of three harmonics under no restoring forces
Jones, M. C.W., 2007, Applied Mathematics Letters (20), 7pp 723-728, Published
On the evolution and stability of interfacial ripples on and off the critical frequency
Jones, M. C.W., 2001, Geophysical and Astrophysical Fluid Dynamics (93), 3/4pp 143-172, Published
On nonlinearly detuned third harmonic ripples between two stratified fluids
Jones, M. C.W., 2001, Quarterly of Applied Mathematics (59), 2pp 241-268, Published
A codimension seven unfolding of a third harmonic resonant interaction between two contiguous continua
Jones, M. C.W., 2000, Zeitschrift fur Angewandte Mathematik und Physik (51), 5pp 651-673, Published
Nonlinear nearly Wilton ripples between two uniform stream flows
Jones, M. C.W., 1999, Quarterly Journal of Mechanics and Applied Mathematics (52), 2pp 237-252, Published
A nonlinear multiple scales approach to modelling almost third harmonic interfaces
Jones, Mark C.W., 1999, Zeitschrift fur Angewandte Mathematik und Physik (50), 1pp 47-63, Published
A new system of equations which predicts the evolution of a wave packet due to a fluid-fluid interaction under a narrow bandwidth assumption
Jones, Mark, 1997, Fluid Dynamics Research (21), 6pp 455-475, Published
Group invariances, unfoldings and the bifurcation of capillary-gravity waves
Jones, M. C.W., 1997, International Journal of Bifurcation and Chaos (ijbc) (7), 6pp 1243-1266, Published
Nonlinear ripples of Kelvin-Helmholtz type which arise from an interfacial mode interaction
Jones, M. C.W., 1997, Journal of Fluid Mechanics (341)pp 295-315, Published
Group invariances and second and third harmonic resonant capillary-gravity waves
Jones, M., 1996, Computers and Mathematics with Applications (32), 10pp 59-90, Published
Evolution equations and stability results for finite-depth Wilton ripples
Jones, Mark, 1996, International Journal of Non-Linear Mechanics (31), 1pp 41-58, Published
Evolution equations which model the ripples arising from an adjacent mode interaction
Jones, M. C.W., 1995, Dynamical Systems (10)pp 163-178, Published
On the stability of a wavetrain caused by interacting wave modes
Jones, M. C.W., 1995, Rocky Mountain Journal of Mathematics (25), 1pp 299-313, Published
Further results on the stability of symmetric and asymmetric resonant capillary-gravity waves
Jones, Mark, 1994, Japan Journal of Industrial and Applied Mathematics (11), 3pp 465-483, Published
On the stability of finite-depth capillary-gravity waves by means of the fourth order evolution equation
Jones, M., 1994, Canadian Applied Mathematics Quarterly (2), 3pp 325-348, Published
On coupled differential equations which model the evolution of interacting capillary-gravity wave modes and related questions of stability
Jones, M. C.W., 1993, IMA Journal of Applied Mathematics (50), 1pp 13-28, Published
Nonlinear stability of resonant capillary-gravity waves
Jones, M. C.W., 1992, Wave Motion (15), 3pp 267-283, Published
On the stability of a third harmonic resonant wavetrain
Jones, M. C. W., 1992, Stability and Applied Analysis of Continuous Media (2)pp 323-338, Published
A non-uniqueness theorem in the theory of Voronoi sets
Jones, M., 1991, International Journal of Mathematics and Mathematical Sciences (14), 4pp 817-820, Published
A public key cryptosystem as hard as a factorisation
Jones, M. Christopher W., 1990, Irish Mathematical Society Bulletin (24)pp 59-66, Published
Mathematics for an undergraduate course in artificial intelligence: aspirational perspectives and initial lessons learned
Hunter, Gordon, Bosy, Michal, Jones, Mark and Wyman, Christopher(2024). [Published]