Prof. S. Jon Chapman

D Phil, MA, BA

Status

Academic Faculty

Professor of Mathematics and its Applications.

Contact form

+44 1865 270507

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 (04 Nov 2019)

Recent publications

A spectral analysis of the nonlinear Schrodinger equation in the co-exploding frame

Chapman, S Kavousanakis, M Charalampidis, E Kevrekidis, I Kevrekidis, P Physica D: Nonlinear Phenomena volume 439 (08 Jun 2022)

Modelling electrode heterogeneity in lithium-ion batteries: unimodal and bimodal particle-size distributions

Kirk, T Evans, J Please, C Chapman, S SIAM Journal on Applied Mathematics volume 82 issue 2 625-653 (14 Apr 2022)

Multiple-scales analysis of wave evolution in the presence of rigid vegetation

Wong, C Dimakopoulos, A Trinh, P Chapman, S JOURNAL OF FLUID MECHANICS volume 935 (25 Jan 2022)

Normal form for the onset of collapse: the prototypical example of the nonlinear Schrodinger equation

Chapman, S Kavousanakis, M Kevrekidis, I Kevrekidis, P Physical Review E: Statistical, Nonlinear, and Soft Matter Physics volume 104 (04 Oct 2021)

Physical modelling of the slow voltage relaxation phenomenon in lithium-ion batteries

Kirk, T Please, C Chapman, S Journal of The Electrochemical Society volume 168 (16 Jun 2021)

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 (Oct 2011) http://gateway.webofknowledge.com/gateway/Gateway.cgi?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 (Feb 2009) http://gateway.webofknowledge.com/gateway/Gateway.cgi?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.