D. Needham

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 .

The evolution to localized and front solutions in a non-Lipschitz reaction-diffusion Cauchy problem with trivial initial data

D. Needham, J. C. Meyer, 2016, 1607.08423.

Well-posedness and qualitative behaviour of a semi-linear parabolic Cauchy problem arising from a generic model for fractional-order autocatalysis

D. Needham, J. C. Meyer, 2015, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

Travelling waves for a coupled, singular reaction?diffusion system arising from a model of fractional order autocatalysis with decay: I. Permanent form travelling waves

A. Kay, J. Leach, D. Needham, 2003 .

The Evolution of Travelling Waves in Fractional Order Autocatalysis with Decay. I. Permanent Form Travelling Waves

D. J. Needham, J. A. Leach, P. M. McCabe, 1998, SIAM J. Appl. Math..

A jet in crossflow. Part 2

J. H. Smith, N. Riley, D. Needham, 1990, Journal of Fluid Mechanics.

A mathematical model for the spread of morphogens with density dependent chemosensitivity

B. Sleeman, J. Merkin, D. Needham, 2005 .

On a L ∞ functional derivative estimate relating to the Cauchy problem for scalar semi-linear parabolic partial differential equations with general continuous nonlinearity

D. Needham, J. C. Meyer, 2016, Journal of Differential Equations.

Aspects of Hadamard well-posedness for classes of non-Lipschitz semilinear parabolic partial differential equations

D. Needham, J. C. Meyer, 2016, Proceedings of the Royal Society of Edinburgh: Section A Mathematics.

Extended weak maximum principles for parabolic partial differential inequalities on unbounded domains

D. Needham, J. C. Meyer, 2014, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

The effects of variable diffusivity on the development of travelling waves in a class of reaction-diffusion equations

D. Needham, A. King, 1994, Philosophical Transactions of the Royal Society of London. Series A: Physical and Engineering Sciences.

On the global existence of solutions to a singular semilinear parabolic equation arising from the study of autocatalytic chemical kinetics

D. Needham, 1992 .

The Unsteady Flow of a Weakly Compressible Fluid in a Thin Porous Layer I: Two-Dimensional Theory

Stephen Langdon, D. J. Needham, G. S. Busswell, 2009, SIAM J. Appl. Math..

A note on the wall-jet problem II

D. J. Needham, J. H. Merkin, J. Merkin, 1987 .

On the structural stability of a simple pooled chemical system

John H. Merkin, Stephen K. Scott, S. Scott, 1987 .

The evolution of traveling waves in a KPP reaction–diffusion model with cut‐off reaction rate. II. Evolution of traveling waves

D. Needham, A. Tzella, A. Tisbury, 2020, Studies in Applied Mathematics.

Centre families in two–dimensional complex holomorphic dynamical systems

D. Needham, S. McAllister, 1998, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

The evolution of traveling waves in a KPP reaction‐diffusion model with cut‐off reaction rate. I. Permanent form traveling waves

D. Needham, A. Tzella, A. Tisbury, 2020, Studies in Applied Mathematics.

Petroleum Systems in West Australian Basins

J. Bradshaw, Marita Bradshaw, Roger E. Summons, 1994 .

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.

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

J. Leach, D. Needham, 2008 .

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.

The Cauchy Problem for Non-Lipschitz Semi-Linear Parabolic Partial Differential Equations

D. Needham, J. C. Meyer, 2015 .

The evolution of reaction–diffusion waves in a class of scalar reaction–diffusion equations: algebraic decay rates

Alison L. Kay, J. A. Leach, J. Leach, 2002 .

Reaction-diffusion and phase waves occurring in a class of scalar reaction-diffusion equations

D. J. Needham, D. Needham, A N Barnes, 1999 .

On the alluvial hydraulics of steady flow around a bridge pier

D. Needham, D. D. L. Zanré, 1997 .

A note on the classical weak and strong maximum principles for linear parabolic partial differential inequalities

D. Needham, J. C. Meyer, 2015, Zeitschrift für angewandte Mathematik und Physik.

A note on the classical weak and strong maximum principles for linear parabolic partial differential inequalities

D. Needham, J. C. Meyer, 2015 .

The Evolution of Travelling Waves in a KPP Reaction-Diffusion Model with Cut-off Reaction Rate. I. Permanent Form Travelling Waves

D. Needham, A. Tzella, A. Tisbury, 2018, 1805.01878.

A note on the non-existence of permanent form travelling wave solutions in a class of singular reaction-diffusion problems

J. Leach, D. Needham, P. M. McCabe, 2002 .

On simple waves and weak shock theory for the equations of alluvials river hydraulics

D. Needham, D. D. L. Zanré, 1996, Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

Pattern formation through reaction and diffusion in a simple pooled-chemical system

J. Merkin, D. Needham, 1989 .