Prof. S. Jon Chapman

D Phil, MA, BA

Head of Department

Status

Academic Faculty

Professor of Mathematics and its Applications.

+44 1865 270507

Contact form

ORCID iD

https://orcid.org/0000-0003-3347-6024

Research groups

Oxford Centre for Industrial and Applied Mathematics

Address

Mathematical Institute
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG

Recent books

Stochastic Modelling of Reaction–Diffusion Processes Erban, R Chapman, S (30 Nov 2019) doi:10.1017/9781108628389

Recent publications

Accelerated Electrochemical Parameterization of NMC and Graphite via Current Interrupt and Voltage Relaxation Extrapolation

Tuchel, M Chapman, J Fernando, G Kendrick, E Journal of The Electrochemical Society volume 173 issue 18 180514-180514 (28 Sep 2026) doi:10.1149/1945-7111/aea7e1

Multihumped collapsing solutions in the nonlinear Schrödinger problem: existence, stability, and dynamics

Chapman, J Kavousanakis, M Charalampidis, E Kevrekidis, I Kevrekidis, P SIAM Journal on Applied Dynamical Systems volume 25 issue 2 654-694 (02 Apr 2026) doi:10.1137/25m1755576

Large-order perturbation theory of linear eigenvalue problems

Chapman, J Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences volume 482 issue 2334 (25 Mar 2026) doi:10.1098/rspa.2025.0813

Small-time asymptotics and the emergence of complex singularities for the KdV equation

McCue, S Lustri, C VandenHeuvel, D Zhang, J King, J Chapman, J Journal of Nonlinear Waves volume 2 (05 Mar 2026) doi:10.1017/jnw.2026.10033

A Weakly Nonlinear Theory for Pattern Formation in Structured Models with Localized Solutions

Ridgway, W Dalwadi, M Pearce, P Chapman, S (23 Oct 2025)

Research interests

Industrial mathematics, mathematical modelling, matched asymptotic expansions, partial differential equations, superconductivity, vortices, dislocations in elastic crystals, complex ray theory, high-frequency acoustic and electromagnetic scattering, free-boundary problems, exponential asymptotics, shear-thinning fluids, subcritical transition to turbulence, mathematical finance, asymptotic approximation of eigenvalues, mechanochemical models in developmental biology, mathematical physiology, tumour growth, nonlinear models of biological tissue.

Highlighted publications

Diffusion of multiple species with excluded-volume effects

Bruna, M Chapman, S Journal of Chemical Physics volume 137 issue 20 (28 Nov 2012) doi:10.1063/1.4767058

Do waveless ships exist? Results for single-cornered hulls

Trinh, P Chapman, S Vanden-Broeck, J JOURNAL OF FLUID MECHANICS volume 685 413-439 (2011) doi:10.1017/jfm.2011.325

Multiscale modelling of fluid and drug transport in vascular tumours.

Shipley, R Chapman, S Bull Math Biol volume 72 issue 6 1464-1491 (Aug 2010) doi:10.1007/s11538-010-9504-9

Motion of spiral waves in the complex Ginzburg-Landau equation

Aguareles, M Chapman, S Witelski, T Physica D: Nonlinear Phenomena volume 239 issue 7 348-365 (01 Apr 2010) doi:10.1016/j.physd.2009.12.003

Exponential asymptotics of localised patterns and snaking bifurcation diagrams

Chapman, S Kozyreff, G PHYSICA D-NONLINEAR PHENOMENA volume 238 issue 3 319-354 (2009) doi:10.1016/j.physd.2008.10.005

Prizes, awards, and scholarships

Johnson Mathematical Prize, Oxford University, 1992.
Richard C. DiPrima Prize, Society for Industrial and Applied Maths, 1994.
Whitehead Prize, London Mathematical Society, 1998.
Julian Cole Prize, Society for Industrial and Applied Maths, 2002.
Naylor Prize, London Mathematical Society, 2015.