Prof. S. Jon Chapman

D Phil, MA, BA

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)

Recent publications

Self-similar blow-up solutions in the generalised Korteweg-de Vries equation: spectral analysis, normal form and asymptotics

Chapman, S Kavousanakis, M Charalampidis, E Kevrekidis, I Kevrekidis, P Nonlinearity volume 37 issue 9 095034-095034 (14 Aug 2024)

Exponential asymptotics for a model problem of an equatorially trapped Rossby wave

Shelton, J Chapman, S Trinh, P SIAM Journal on Applied Mathematics volume 84 issue 4 1482-1503 (15 Jul 2024)

Mechanical stresses in pouch cells: a reduced order model

Giudici, A Chapman, J Please, C (29 Jun 2024) http://arxiv.org/abs/2407.00373v1

EXPONENTIAL ASYMPTOTICS USING NUMERICAL RATIONAL APPROXIMATION IN LINEAR DIFFERENTIAL EQUATIONS

Lustri, C Crew, S Chapman, S The ANZIAM Journal volume 65 issue 4 285-307 (22 Apr 2024)

A homogenised model of fluid-string interaction

Kent, A Waters, S Oliver, J Chapman, S SIAM Journal on Applied Mathematics volume 83 issue 5 2118-2143 (24 Oct 2023)

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)

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) https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000296905700016&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=4fd6f7d59a501f9b8bac2be37914c43e

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) https://www.ncbi.nlm.nih.gov/pubmed/20099043

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)

Exponential asymptotics of localised patterns and snaking bifurcation diagrams

Chapman, S Kozyreff, G PHYSICA D-NONLINEAR PHENOMENA volume 238 issue 3 319-354 (2009) https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000263401900008&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=4fd6f7d59a501f9b8bac2be37914c43e

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.