| The development of travelling waves in quadratic and cubic autocatalysis with unequal diffusion rates. I. Permanent form travelling waves J Billingham, DJ Needham Philosophical Transactions of the Royal Society of London. Series A …, 1991 | 182 | 1991 |
| On roll waves down an open inclined channel DJ Needham, JH Merkin Proceedings of the Royal Society of London. A. Mathematical and Physical …, 1984 | 177 | 1984 |
| Propagating reaction-diffusion waves in a simple isothermal quadratic autocatalytic chemical system JH Merkin, DJ Needham Journal of engineering mathematics 23 (4), 343-356, 1989 | 103 | 1989 |
| The propagation of a voidage disturbance in a uniformly fluidized bed DJ Needham, JH Merkin Journal of Fluid Mechanics 131, 427-454, 1983 | 101 | 1983 |
| A note on the properties of a family of travelling-wave solutions arising in cubic autocatalysis J Billingham, DJ Needham Dynamics and stability of systems 6 (1), 33-49, 1991 | 100 | 1991 |
| Oscillatory chemical reactions in closed vessels JH Merkin, DJ Needham, SK Scott Proceedings of the Royal Society of London. A. Mathematical and Physical …, 1986 | 85 | 1986 |
| The initial development of a jet caused by fluid, body and free-surface interaction. Part 1. A uniformly accelerating plate AC King, DJ Needham Journal of Fluid Mechanics 268, 89-101, 1994 | 73 | 1994 |
| Matched asymptotic expansions in reaction-diffusion theory J Leach, D Needham Springer Science & Business Media, 2003 | 69 | 2003 |
| The development of travelling waves in quadratic and cubic autocatalysis with unequal diffusion rates. II. An initial-value problem with an immobilized or nearly immobilized … J Billingham, DJ Needham, FT Smith Philosophical Transactions of the Royal Society of London. Series A …, 1991 | 66 | 1991 |
| The development of travelling waves in a simple isothermal chemical system II. Cubic autocatalysis with quadratic and linear decay JH Merkin, DJ Needham Proceedings of the Royal Society of London. Series A: Mathematical and …, 1990 | 64 | 1990 |
| On the creation, growth and extinction of oscillatory solutions for a simple pooled chemical reaction scheme JH Merkin, DJ Needham, SK Scott SIAM Journal on Applied Mathematics 47 (5), 1040-1060, 1987 | 60 | 1987 |
| The development of travelling waves in quadratic and cubic autocatalysis with unequal diffusion rates. III. Large time development in quadratic autocatalysis J Billingham, DJ Needham Quarterly of applied mathematics 50 (2), 343-372, 1992 | 55 | 1992 |
| Reaction-diffusion and phase waves occurring in a class of scalar reaction-diffusion equations DJ Needham, AN Barnes Nonlinearity 12 (1), 41, 1999 | 52 | 1999 |
| The development of travelling waves in a simple isothermal chemical system-I. Quadratic autocatalysis with linear decay JH Merkin, DJ Needham, SK Scott Proceedings of the Royal Society of London. A. Mathematical and Physical …, 1989 | 52 | 1989 |
| A note on the wall-jet problem JH Merkin, DJ Needham Journal of engineering mathematics 20 (1), 21-26, 1986 | 50 | 1986 |
| The development of travelling waves in a simple isothermal chemical system III. Cubic and mixed autocatalysis P Gray, JH Merkin, DJ Needham, SK Scott Proceedings of the Royal Society of London. Series A: Mathematical and …, 1990 | 48 | 1990 |
| The large-time development of the solution to an initial-value problem for the Korteweg–de Vries equation: I. Initial data has a discontinuous expansive step JA Leach, DJ Needham Nonlinearity 21 (10), 2391, 2008 | 46 | 2008 |
| An infinite period bifurcation arising in roll waves down an open inclined channel JH Merkin, DJ Needham Proceedings of the Royal Society of London. A. Mathematical and Physical …, 1986 | 46 | 1986 |
| The development of nonlinear waves on the surface of a horizontally rotating thin liquid film DJ Needham, JH Merkin Journal of Fluid Mechanics 184, 357-379, 1987 | 45 | 1987 |
| The evolution of reaction–diffusion waves in a class of scalar reaction–diffusion equations: algebraic decay rates JA Leach, DJ Needham, AL Kay Physica D: Nonlinear Phenomena 167 (3-4), 153-182, 2002 | 42 | 2002 |
John BillinghamProfessor of Theoretical Mechanics, School of Mathematical Sciences, The University of NottinghamVerified email at Nottingham.ac.uk
