DN
David J. Needham
math.APmath.CAphysics.flu-dynnon-Lipschitz nonlinearitysemi-linear parabolic partial differential equationwell-posed
On Valency
published · living versionsW_3964v2ku·v1 · currentpublished
Stationary distribution of active Brownian particles in a bounded domain
with Alexandra Tzella, Daniel Loghin, Jacques Vanneste
1 version
Preprints & journals
14 papers in the corpus · 2015–2025The role of mutants in the spatio-temporal progression of inflammatory bowel disease: three classes of permanent form travelling waves2501.07205v2 · Blaine van Rensburg, David J. Needham, Fabian Spill et al.2025 · 0 citationsarXiv
Modelling visibility and surface deformation in particle-fluid flow fields generated by helicopter rotors2412.16438v1 · Stephen Langdon, David J. Needham2024 · 0 citationsarXiv
The 1D nonlocal Fisher-KPP equation with a top hat kernel. Part 3. The effect of perturbations in the kernel2411.15054v1 · David John Needham, John Billingham2024 · 0 citationsarXiv
KPP fronts in shear flows with cut-off reaction rates2406.16617v1 · D. J. Needham, A. Tzella2024 · 0 citationsarXiv
A mathematical model for wind-generated particle-fluid flow fields with an application to the helicopter cloud problem2402.14028v2 · D. J. Needham, S. Langdon2024 · 3 citationsarXiv
The evolution problem for the 1D nonlocal Fisher-KPP equation with a top hat kernel. Part 1. The Cauchy problem on the real line2304.10922v3 · D. J. Needham, J. Billingham, N.M. Ladas et al.2023 · 7 citationsarXiv
The evolution problem for the 1D nonlocal Fisher-KPP equation with a top hat kernel. Part 2. The Cauchy problem on a finite interval2304.10935v2 · D.J. Needham, J. Billingham2023 · 1 citationarXiv
The Riemann problem for a generalised Burgers equation with spatially decaying sound speed. II General qualitative theory2209.04832v1 · John Christopher Meyer, David John Needham2022 · 0 citationsarXiv
The Development of a Wax Layer on the Interior Wall of a Circular Pipe Transporting Heated Oil -- The Effects of Temperature Dependent Wax Conductivity2104.14298v1 · Sophie Lauren Mason, John Christopher Meyer, David John Needham2021 · 4 citationsarXiv
The Evolution of Travelling Waves in a KPP Reaction-Diffusion Model with cut-off Reaction Rate. II. Evolution of Travelling Waves2006.00042v2 · A. D. O. Tisbury, D. J. Needham, A. Tzella2020 · 0 citationsarXiv
The Evolution of Travelling Waves in a KPP Reaction-Diffusion Model with Cut-off Reaction Rate. I. Permanent Form Travelling Waves1805.01878v3 · A D O Tisbury, D J Needham, A Tzella2018 · 1 citationarXiv
The evolution to localized and front solutions in a non-Lipschitz reaction-diffusion Cauchy problem with trivial initial data1607.08423v1 · John Christopher Meyer, David John Needham2016 · 3 citationsarXiv
On a functional derivative estimate relating to the Cauchy problem for scalar semi-linear parabolic partial differential equations with general continuous nonlinearity1607.07102v1 · John Christopher Meyer, David John Needham2016 · 2 citationsarXiv
Well-posedness and qualitative behaviour of a semi-linear parabolic Cauchy problem arising from a generic model for fractional-order autocatalysis.25792950 · Meyer, J C, Needham, D J2020 · 3 citationsProceedings. Mathematical, physical, and engineering sciences. 2015;471(2175):20140632
Career total: 159 works. 14 are in this corpus.
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