D J Needham
机构: Emeritus Professor of Applied Mathematics, University of Birmingham
每年引用次数
引用次数
引用: 2,737
H-指数: 31
I10-指数 : 64
出版物: 143
A note on the properties of a family of travelling-wave solutions arising in cubic autocatalysis
J. Billingham , D. J Needham
Dynamics and Stability of Systems 6 ( 1) 33 -49
57
1991
Pattern formation in a cubic autocatalator model: the effect of the uncatalyzed reaction
R Hill , J. H Merkin , D. J Needham
Dynamics and Stability of Systems 10 ( 1) 49 -63
1995
Breakdown of the shallow water equations due to growth of the horizontal vorticity
THOMAS J. BRIDGES , DAVID J. NEEDHAM
Journal of Fluid Mechanics 679 655 -666
4
2011
The effects of surface tension on the initial development of a free surface adjacent to an accelerated plate
J. Uddin , D. J. Needham
Journal of Fluid Mechanics 776 37 -73
2
2015
A note on the unsteady motion under gravity of a corner point on a free surface: a generalization of Stokes' theory
D.J Needham , J Billingham
Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences 465 ( 2101) 165 -173
1
2009
The evolution of reaction–diffusion waves in a class of scalar reaction–diffusion equations: algebraic decay rates
J.A Leach , D.J Needham , A.L Kay
Physica D: Nonlinear Phenomena 167 ( 3) 153 -182
22
2002
A note on the classical weak and strong maximum principles for linear parabolic partial differential inequalities
David John Needham , John Christopher Meyer
Zeitschrift für Angewandte Mathematik und Physik 66 ( 4) 2081 -2086
2
2015
The Riemann problem for a generalised Burgers equation with spatially decaying sound speed. II General qualitative theory
John Christopher Meyer , David John Needham
arXiv preprint arXiv:2209.04832
2
2022
The development of a wax layer on the interior wall of a circular pipe transporting heated oil: the effects of temperature-dependent wax conductivity
Sophie Lauren Mason , John Christopher Meyer , David John Needham
Journal of Engineering Mathematics 131 ( 1) 7 -7
2
2021
The Linearised Dam-Break Problem
David J Needham , Stewart McGovern , John Andrew Leach ,
2021
The Riemann problem for a generalized Burgers equation with spatially decaying sound speed. I Large‐time asymptotics
David J Needham , John C Meyer , John Billingham , Catherine Drysdale
Studies in Applied Mathematics 150 ( 4) 963 -995
1
2023
On Roll Waves down an Open Inclined Channel
David J Needham , John H Merkin
Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences 394 ( 1807) 259 -278
1984
An Infinite Period Bifurcation Arising in Roll Waves Down an Open Inclined Channel
John H Merkin , David J Needham
Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences 405 ( 1828) 103 -116
1986
The Cauchy problem for non-Lipschitz semi-linear parabolic partial differential equations
John Christopher Meyer , David J Needham
Cambridge University Press 419
10
2015
The evolution of travelling waves in a KPP reaction-diffusion model with cut-off reaction rate. I. Permanent form travelling waves
Alex DO Tisbury , David J Needham , Alexandra Tzella
arXiv preprint arXiv:1805.01878
3
2018
A theoretical model for the propagation of voidage non-uniformities in a fluidized bed.
David J Needham
University of Leeds
1983
The propagation of a voidage disturbance in a uniformly fluidized bed
D. J. Needham , J. H. Merkin
Journal of Fluid Mechanics 131 ( -1) 427 -454
67
1983
On the existence and uniqueness of solutions to a singular nonlinear boundary value problem arising in isothermal autocatalytic chemical kinetics
D. J. Needham , A. C. King
Proceedings of the Edinburgh Mathematical Society 36 ( 3) 479 -500
5
1993
Reaction-diffusion in a simple pooled chemical system
J. H. Merkin , D. J. Needham
Dynamics and Stability of Systems 4 ( 2) 141 -167
5
1989
Pattern formation through reaction and diffusion in a simple pooled-chemical system
D. J. Needham , J. H. Merkin
Dynamics and Stability of Systems 4 259 -284
8
1989