J. Billingham

发表

Differential Equations: Group Theoretical Methods

A. King, J. Billingham, S. Otto, 2003 .

Differential Equations: Stability, Instability and Bifurcations

A. King, J. Billingham, S. Otto, 2003 .

Laminar, unidirectional flow of a thixotropic fluid in a circular pipe

J. Billingham, J. Ferguson, 1993 .

Stochastic simplified modelling of abrasive waterjet footprints

J. Billingham, D. Axinte, P. L. Torrubia, 2016, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

On modelling of laser assisted machining: Forward and inverse problems for heat placement control

J. A. Sarasua, J. Billingham, D. Axinte, 2019, International Journal of Machine Tools and Manufacture.

Investigation of the microstructure change due to phase transition in nanosecond pulsed laser processing of diamond

J. Billingham, D. Axinte, J. Michler, 2018 .

A study of surface swelling caused by graphitisation during pulsed laser ablation of carbon allotrope with high content of sp3 bounds

J. Billingham, D. Axinte, G. Cadot, 2017 .

Waterjet and laser etching: the nonlinear inverse problem

J. Billingham, D. Axinte, G. Cadot, 2017, Royal Society Open Science.

Continuous trench, pulsed laser ablation for micro-machining applications

J. Billingham, D. Axinte, G. Cadot, 2016 .

Resonance-driven oscillations in a flexible-channel flow with fixed upstream flux and a long downstream rigid segment

J. Billingham, O. Jensen, Feng Xu, 2014, Journal of Fluid Mechanics.

The linear inverse problem in energy beam processing with an application to abrasive waterjet machining

Dragos Axinte, John Billingham, A. Bilbao Guillerna, 2015 .

The initial development of a jet caused by fluid, body and free surface interaction with a uniformly accelerated advancing or retreating plate. Part 2. Well-posedness and stability of the principal flow

J. Billingham, D. Needham, M. T. Gallagher, 2015, Journal of Fluid Mechanics.

The Unsteady Motion of Three Phase Contact Lines

J. Billingham, 1999 .

New models for energy beam machining enable accurate generation of free forms

J. Billingham, D. Axinte, Aitor Bilbao Guillerna, 2017, Science Advances.

Wave Motion: Waves in Elastic Solids

A. King, J. Billingham, 2001 .

Dislocation mechanisms for the nucleation of transformations in vanadium carbide

M. Lewis, J. Billingham, 1971 .

On a model for the motion of a contact line on a smooth solid surface

John Billingham, J. Billingham, 2006, European Journal of Applied Mathematics.

Gravity-driven thin-film flow using a new contact line model

J. Billingham, 2007 .

Adsorption of polyamine, polyacrylic acid and polyethylene glycol on montmorillonite: An in situ study using ATR-FTIR

J. Billingham, J. Yarwood, C. Breen, 1997 .

Steel: a versatile advanced material in marine environments

J. Billingham, 1994 .

Mathematical modelling of chemical clock reactions. I. Induction, inhibition and the iodate-arsenous-acid reaction

J. Billingham, D. Needham, 1992, Philosophical Transactions of the Royal Society of London. Series A: Physical and Engineering Sciences.

Geometrical modelling of pulsed laser ablation of high performance metallic alloys

J. Billingham, D. Axinte, D. Cha, 2019, International Journal of Machine Tools and Manufacture.

Dynamics of the oil-air interface in hard disk drive bearings

P. Dellar, J. Billingham, F. Hendriks, 2005, IEEE Transactions on Magnetics.

Im, Jeon-Sook and Billingham, John (2016) A spectral boundary integral method for inviscid water waves in a finite domain. International Journal for Numerical Methods in Fluids . ISSN 1097-0363

J. Billingham, J. Im, 2017 .

A Reaction Diffusion Model for Inter-Species Competition and Intra-Species Cooperation

J. Billingham, S. Rasheed, 2013 .

Thick drops climbing uphill on an oscillating substrate

J. Billingham, J. Bradshaw, 2018, Journal of Fluid Mechanics.

Effect of trace impurities on hot ductility of as-cast cupronickel alloys

J. Billingham, P. Hancock, J. Chubb, 1978 .

Effect of nickel on hot ductility of binary copper-nickel alloys

J. Billingham, J. Chubb, 1978 .

Kinetics of self-replicating micelles

P. Coveney, J. Billingham, 1994 .

Mathematical modelling of chemical clock reactions

J. Billingham, D. Needham, 1993 .

Modelling the response of a vibrating-element density meter in a two-phase mixture

J. Billingham, 1997, Journal of Fluid Mechanics.

Surface-tension-driven flow in fat fluid wedges and cones

J. Billingham, 1999, Journal of Fluid Mechanics.

The interaction of a moving fluid/fluid interface with a flat plate

A. King, J. Billingham, 1995, Journal of Fluid Mechanics.

The initial development of a jet caused by fluid, body and free surface interaction with a uniformly accelerated advancing or retreating plate. Part 1. The principal flow

J. Billingham, D. Needham, M. Gallagher, 2018, Journal of Fluid Mechanics.

J. Billingham, 2016, Journal of Fluid Mechanics.

The risk management of high-strength steels in jack-ups in seawater

J. V. Sharp, J. Billingham, M. J. Robinson, 2001 .

Long-period order in vanadium carbide

M. Lewis, J. Billingham, 1974 .

Effect of temperature range on extent of microstructural degradation during thermal cycling of unidirectionally solidified eutectic composite

J. Billingham, S. P. Cooper, 1980 .

A Multiphase Model for the Early Stages of the Hydration of Retarded Oilwell Cement

A. King, J. Billingham, D. Francis, 2005 .

Influence of chewing on dental health in dogs

J. Billingham, P. Mcgenity, Samantha Bjone, 2005 .

A superlattice with monoclinic symmetry based on the compound V6C5

M. Lewis, J. Billingham, P. S. Bell, 1972 .

Vacancy short‐range order in substoichiometric transition metal carbides and nitrides with the NaCl structure. I. Electron diffraction studies of short‐range ordered compounds

M. Lewis, J. Billingham, P. S. Bell, 1972 .

The crystal growth of transition metal interstitial compounds by a floating zone technique

M. Lewis, J. Billingham, P. S. Bell, 1972 .

Divergence-driven oscillations in a flexible-channel flow with fixed upstream flux

J. Billingham, O. Jensen, F. Xu, 2013, Journal of Fluid Mechanics.

Stochastic modelling of abrasive waterjet footprints using finite element analysis

Dragos Axinte, John Billingham, P. Lozano Torrubia, 2015 .

Differential equations : linear, nonlinear, ordinary, partial

John Billingham, S. R. Otto, A. C. King, 2003 .

Effect of thermal cycling on microstructural stability of unidirectionally solidified eutectic composite

J. Billingham, S. P. Cooper, 1981 .

Coated cutting tools—a study of wear mechanisms in high speed machining

J. Billingham, J. Billingham, J. P. Chubb, 1980 .

Surface-tension-driven flow outside a slender wedge with an application to the inviscid coalescence of drops

A. King, J. Billingham, 2005, Journal of Fluid Mechanics.

The initial development of a jet caused by fluid, body and free-surface interaction. Part 2. An impulsively moved plate

A. King, J. Billingham, D. Needham, 2007, Journal of Fluid Mechanics.

Surface Tension-Driven Flow in a Slender Wedge

J. Billingham, J. Billingham, 2006, SIAM J. Appl. Math..

The Initial Surface Tension-Driven Flow of a Wedge of Viscous Fluid

John Billingham, J. Billingham, 2005, SIAM J. Appl. Math..

The moving contact line between two wedges of fluid on a flat plate

A. King, J. Billingham, D. Popple, 1999 .

Chemical clock reactions: The effect of precursor consumption

John Billingham, A. C. King, A. King, 1999 .

Simple chemical clock reactions: application to cement hydration

P. Coveney, J. Billingham, 1993 .

In situ Determination of Brønsted/Lewis Acidity on Cation-Exchanged Clay Mineral Surfaces by ATR-IR

J. Billingham, J. Yarwood, C. Breen, 1996, Clay Minerals.

On the initial stages of cement hydration

A. King, J. Billingham, S. Preece, 2001 .

A rational approach to beam path planning in additive manufacturing: the inverse heat placement problem

J. Billingham, D. Axinte, Z. Liao, 2023, Proceedings of the Royal Society A.

Time-dependent manufacturing processes lead to a new class of inverse problems

Dragos Axinte, John Billingham, J. Billingham, 2019, Proceedings of the National Academy of Sciences.

Cadot, G.B.J. and Axinte, Dragos A. and Billingham,

J. Billingham, D. Axinte, G. Cadot, 2017 .

RELIABILITY TEST OF A 1‐kW PULSE TUBE CRYOCOOLER FOR HTS CABLE APPLICATION

J. F. Billingham, R.‐L. Chen, G. W. Henzler, 2010 .

Three-dimensional elastohydrodynamics of a thin plate oscillating above a wall.

J. Billingham, O. Jensen, R. Clarke, 2008, Physical review. E, Statistical, nonlinear, and soft matter physics.

Three-dimensional flow due to a microcantilever oscillating near a wall: an unsteady slender-body analysis

Oliver E. Jensen, John Billingham, Pw Williams, 2006, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

A survey of underwater welding techniques

J. Billingham, J. Nixondg, J. Billingham, 1987 .

Deepwater Welding For Installation And Repair – A Viable Technology?

John Billingham, J. Billingham, Ian Richardson, 2002 .

Drops climbing uphill on an oscillating substrate

J. Billingham, E. Benilov, 2011, Journal of Fluid Mechanics.

Novel approach based on continuous trench modelling to predict focused ion beam prepared freeform surfaces

J. Billingham, D. Axinte, M. Rommel, 2018 .

Mathematical modelling of abrasive waterjet footprints for arbitrarily moving jets: Part II—Overlapped single and multiple straight paths

Dragos Axinte, M. C. Kong, John Billingham, 2013 .

Mathematical modelling of abrasive waterjet footprints for arbitrarily moving jets: Part I—single straight paths

Dragos Axinte, Saqib Anwar, M. C. Kong, 2012 .

Dynamics of a strongly nonlocal reaction–diffusion population model

John Billingham, J. Billingham, 2004 .

A dam break driven by a moving source: a simple model for a powder snow avalanche

J. Billingham, 2019, Journal of Fluid Mechanics.

The development of travelling waves in quadratic and cubic autocatalysis with unequal diffusion rates. I. Permanent form travelling waves

John Billingham, D. J. Needham, J. Billingham, 1991, Philosophical Transactions of the Royal Society of London. Series A: Physical and Engineering Sciences.

A note on the properties of a family of travelling-wave solutions arising in cubic autocatalysis

John Billingham, D. J. Needham, J. Billingham, 1991 .

Development of wavelength selective shutters for device application for filters and smart windows

J. Billingham, J. Silver, J. Littler, 1997 .

EXPLORING COMPLEXITY IN SOME SIMPLE NONLINEAR CHEMICAL KINETIC SCHEMES

P. Coveney, J. Billingham, A. Chaudry, 1994 .

A Shape-Newton Method for Free-boundary Problems Subject to The Bernoulli Boundary Condition

J. Billingham, K. Zee, Y. Fan, 2023, ArXiv.

A multi-scale model for solute transport in a wavy-walled channel

Oliver E. Jensen, John Billingham, Guoping Lian, 2008 .

A reappraisal of a model for the motion of a contact line on a smooth solid surface

J. Billingham, J. BILLINGHAM, 2005 .

Uniform asymptotic expansions for the Barnes double gamma function

John Billingham, A. C. King, A. King, 1997, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

Pattern formation and travelling waves in a multiphase moving boundary model of tumour growth

Nabil T. Fadai, J. Billingham, R. O’Dea, 2022, bioRxiv.

Geometrical modelling of abrasive waterjet footprints: A study for 90° jet impact angle

Dragos Axinte, J. Billingham, D. S. Srinivasu, 2010 .

Stochastic elastohydrodynamics of a microcantilever oscillating near a wall.

O E Jensen, J. Billingham, A. Pearson, 2006, Physical review letters.

Characterization of the performance of packed distillation column liquid distributors

J. F. Billingham, D. P. Bonaquist, Michael James Lockett, 1997 .

Effect of altered G levels on deposition of particulates in the human respiratory tract.

J. Billingham, R. Hoffman, 1975, Journal of applied physiology.

The evolution of travelling waves from chemical-clock reactions

A. King, J. Billingham, S. Preece, 2001 .

The evolution problem for the 1D nonlocal Fisher-KPP equation with a top hat kernel. Part 1. The Cauchy problem on the real line

J. Billingham, D. Needham, N. Ladas, 2023, 2304.10922.

Slow travelling wave solutions of the nonlocal Fisher-KPP equation

J. Billingham, 2020, Nonlinearity.

The evolution problem for the 1D nonlocal Fisher-KPP equation with a top hat kernel. Part 2. The Cauchy problem on a finite interval

J. Billingham, D. Needham, 2023, 2304.10935.

Phase plane analysis of one-dimensional reaction diffusion waves with degenerate reaction terms

J. Billingham, 2000 .