Professor Peter Stewart

  • Professor of Applied Mathematics (Mathematics)

telephone: 01413304124
email: Peter.Stewart@glasgow.ac.uk

Room 415, Mathematics and Statistics Building, University Place, Glasgow, G12 8SQ

Import to contacts

ORCID iDhttps://orcid.org/0000-0002-0971-8057

Biography

Personal webpage: http://www.maths.gla.ac.uk/~pstewart

I am currently a Professor of Applied Mathematics in the School of Mathematics and Statistics, University of Glasgow. My research focuses on applying continuum mechanics to solve interesting physiological or industrially motivated problems. Before coming to Glasgow, I held Postdoctoral Research Associate positions at the University of Oxford (2011-13) and Northwestern University (2010-2011). I completed my PhD in 2010 from the University of Nottingham, where my thesis was entitled Flows in flexible channels and airways.

Research interests

My research interests lie in the application of continuum mechanics to physiological and industrial problems. In particular I am interested in problems involving interaction between a fluid flow and deformable interfaces, such as liquid-gas free surfaces and elastic solids.

My current research focuses on several topics:

1) Mathematical modelling of the human eye, with a particular interest in retinal blood flow and retinal haemorrhage;

2) The dynamics of gas-liquid foams, with particular application to understanding fracture in crystalling materials and production of high-porosity metallic solids (solid metal foams) as lightweight materials;

3) Mathematical modelling of cell cytoskeleton, with particular application to understanding cell response to mechanical cues;

4) Flow through flexible-walled vessels in the human body, with application to the onset of self-excited oscillations.

Research groups

Publications

Selected publications

Wang, D.Y., Luo, X.Y. ORCID logoORCID: https://orcid.org/0000-0002-8753-4210 and Stewart, P.S. ORCID logoORCID: https://orcid.org/0000-0002-0971-8057 (2021) Energetics of collapsible channel flow with a nonlinear fluid-beam model. Journal of Fluid Mechanics, 926, A2. (doi: 10.1017/jfm.2021.642)

Stewart, Peter S. ORCID logoORCID: https://orcid.org/0000-0002-0971-8057 (2017) Instabilities in flexible channel flow with large external pressure. Journal of Fluid Mechanics, 825, pp. 922-960. (doi: 10.1017/jfm.2017.404)

Spelman, T.A. and Stewart, P.S. ORCID logoORCID: https://orcid.org/0000-0002-0971-8057 (2020) Shock wave propagation along the central retinal blood vessels. Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences, 476(2234), 20190269. (doi: 10.1098/rspa.2019.0269) (PMID:32201473)

Stewart, Peter S. ORCID logoORCID: https://orcid.org/0000-0002-0971-8057 and Hilgenfeldt, Sascha (2023) Gas-liquid foam dynamics: from structural elements to continuum descriptions. Annual Reviews of Fluid Mechanics, 55, pp. 323-350. (doi: 10.1146/annurev-fluid-032822-125417)

All publications

List by: Type | Date

Jump to: 2025 | 2024 | 2023 | 2022 | 2021 | 2020 | 2019 | 2017 | 2016 | 2015 | 2014 | 2013 | 2012 | 2010 | 2009
Number of items: 44.

2025

Stewart, Peter S. ORCID logoORCID: https://orcid.org/0000-0002-0971-8057, Hill, Russell A., Oduor, Ayub M.O., Stephens, Philip A., Whittingham, Mark J. and Dawson, Wayne (2025) Multi-species impacts of invasive Opuntia cacti on mammal habitat use. Ecology Letters, 28(7), e70163. (doi: 10.1111/ele.70163) (PMID:40600780)

Tweedy, Jennifer H., Dvoriashyna, Mariia, Crawshaw, Jessica R., Overby, Darryl R., Repetto, Rodolfo, Roberts, Paul A., Spelman, Tamsin A., Stewart, Peter S. ORCID logoORCID: https://orcid.org/0000-0002-0971-8057 and Foss, Alexander J.E. (2025) A model of the mechanisms underpinning unconventional aqueous humor outflow. Investigative Ophthalmology and Visual Science, 66(4), 75. (doi: 10.1167/iovs.66.4.75) (PMID:40293397) (PMCID:PMC12060054)

Stewart, Peter S. ORCID logoORCID: https://orcid.org/0000-0002-0971-8057, Roy, Alasdair T. and Hilgenfeldt, Sascha (2025) Nonlinear Rayleigh-Taylor instability in an accelerated soap film. Journal of Engineering Mathematics, 150(1), 14. (doi: 10.1007/s10665-024-10421-8)

McNicol, Gordon R., Dalby, Matthew J. ORCID logoORCID: https://orcid.org/0000-0002-0528-3359 and Stewart, Peter S. ORCID logoORCID: https://orcid.org/0000-0002-0971-8057 (2025) A theoretical model for focal adhesion and cytoskeleton formation in non-motile cells. Journal of Theoretical Biology, 596, 111965. (doi: 10.1016/j.jtbi.2024.111965) (PMID:39442686)

2024

Herrer, E. G., Herrada, M. A., Gañán-Calvo, A. M. and Stewart, P. S. ORCID logoORCID: https://orcid.org/0000-0002-0971-8057 (2024) Stability of finite-length collapsible channel flow to spanwise perturbations. Physics of Fluids, 36(12), 124105. (doi: 10.1063/5.0237604)

Stewart, Peter S. ORCID logoORCID: https://orcid.org/0000-0002-0971-8057, Brook, Bindi S., Jensen, Oliver E., Spelman, Tamsin A., Whittaker, Robert J. and Zouache, Moussa A. (2024) Rapid amplification of cerebrospinal fluid pressure as a possible mechanism for optic nerve sheath bleeding in infants with nonaccidental head injury. Investigative Ophthalmology and Visual Science, 65(12), 9. (doi: 10.1167/iovs.65.12.9) (PMID:39374008) (PMCID:PMC11463713)

Thekkethil, Namshad, Köry, Jakub ORCID logoORCID: https://orcid.org/0000-0002-4476-2547, Guo, Ming, Stewart, Peter S. ORCID logoORCID: https://orcid.org/0000-0002-0971-8057, Hill, Nicholas A. ORCID logoORCID: https://orcid.org/0000-0003-3079-828X and Luo, Xiaoyu ORCID logoORCID: https://orcid.org/0000-0002-8753-4210 (2024) Modelling the rheology of living cell cytoplasm: Poroviscoelasticity and fluid-to-solid transition. Biomechanics and Modeling in Mechanobiology, 23, pp. 1551-1569. (doi: 10.1007/s10237-024-01854-2)

Köry, Jakub ORCID logoORCID: https://orcid.org/0000-0002-4476-2547, Stewart, P.S. ORCID logoORCID: https://orcid.org/0000-0002-0971-8057, Hill, N.A. ORCID logoORCID: https://orcid.org/0000-0003-3079-828X, Luo, X. ORCID logoORCID: https://orcid.org/0000-0002-8753-4210 and Pandolfi, A. (2024) A discrete-to-continuum model for the human cornea with application to keratoconus. Royal Society Open Science, 11(7), 240265. (doi: 10.1098/rsos.240265) (PMID:39050729) (PMCID:PMC11265872)

Spelman, Tamsin A., Onah, Ifeanyi S., MacTaggart, David ORCID logoORCID: https://orcid.org/0000-0003-2297-9312 and Stewart, Peter S. ORCID logoORCID: https://orcid.org/0000-0002-0971-8057 (2024) Elastic jump propagation across a blood vessel junction. Royal Society Open Science, 11(7), 232000. (doi: 10.1098/rsos.232000) (PMID:39021781) (PMCID:PMC11252672)

Köry, J. ORCID logoORCID: https://orcid.org/0000-0002-4476-2547, Hill, N.A. ORCID logoORCID: https://orcid.org/0000-0003-3079-828X, Luo, X.Y. ORCID logoORCID: https://orcid.org/0000-0002-8753-4210 and Stewart, P.S. ORCID logoORCID: https://orcid.org/0000-0002-0971-8057 (2024) Discrete-to-continuum models of pre-stressed cytoskeletal filament networks. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 480(2290), 20230611. (doi: 10.1098/rspa.2023.0611)

2023

Wang, Danyang, Luo, Xiaoyu ORCID logoORCID: https://orcid.org/0000-0002-8753-4210, Liu, Zishun and Stewart, Peter S. ORCID logoORCID: https://orcid.org/0000-0002-0971-8057 (2023) Flow-induced surface instabilities in a flexible-walled channel with a heavy wall. Journal of Fluid Mechanics, 956, A1. (doi: 10.1017/jfm.2022.1086)

Du, Yangkun ORCID logoORCID: https://orcid.org/0000-0001-6868-4646, Stewart, Peter ORCID logoORCID: https://orcid.org/0000-0002-0971-8057, Hill, Nicholas A. ORCID logoORCID: https://orcid.org/0000-0003-3079-828X, Yin, Huabing ORCID logoORCID: https://orcid.org/0000-0001-7693-377X, Penta, Raimondo ORCID logoORCID: https://orcid.org/0000-0003-1202-8775, Köry, Jakub ORCID logoORCID: https://orcid.org/0000-0002-4476-2547, Luo, Xiaoyu ORCID logoORCID: https://orcid.org/0000-0002-8753-4210 and Ogden, Raymond ORCID logoORCID: https://orcid.org/0000-0002-7002-7028 (2023) Nonlinear indentation of second-order hyperelastic materials. Journal of the Mechanics and Physics of Solids, 171, 105139. (doi: 10.1016/j.jmps.2022.105139)

Stewart, Peter S. ORCID logoORCID: https://orcid.org/0000-0002-0971-8057 and Hilgenfeldt, Sascha (2023) Gas-liquid foam dynamics: from structural elements to continuum descriptions. Annual Reviews of Fluid Mechanics, 55, pp. 323-350. (doi: 10.1146/annurev-fluid-032822-125417)

2022

Barry, Roxanna G., Hill, Nicholas A. ORCID logoORCID: https://orcid.org/0000-0003-3079-828X and Stewart, Peter S. ORCID logoORCID: https://orcid.org/0000-0002-0971-8057 (2022) Continuum soft tissue models from upscaling of arrays of hyperelastic cells. Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences, 478(2266), 20220065. (doi: 10.1098/rspa.2022.0065)

Griffiths, I. M. and Stewart, P. S. ORCID logoORCID: https://orcid.org/0000-0002-0971-8057 (2022) A hybrid discrete–continuum framework for modelling filtration. Journal of Membrane Science, 647, 120258. (doi: 10.1016/j.memsci.2022.120258)

Herrada, M.A., Blanco-Trejo, S., Eggers, J. and Stewart, P.S. ORCID logoORCID: https://orcid.org/0000-0002-0971-8057 (2022) Global stability analysis of flexible channel flow with a hyperelastic wall. Journal of Fluid Mechanics, 934, A28. (doi: 10.1017/jfm.2021.1131)

Wang, Zhaokun, Wang, Chenglei, Zhao, Fuwang, Qi, Nan, Lockington, David, Ramaesh, Kanna, Stewart, Peter S. ORCID logoORCID: https://orcid.org/0000-0002-0971-8057, Luo, Xiaoyu ORCID logoORCID: https://orcid.org/0000-0002-8753-4210 and Tang, Hui (2022) Simulation of fluid-structure interaction during the phaco-emulsification stage of cataract surgery. International Journal of Mechanical Sciences, 214, 106931. (doi: 10.1016/j.ijmecsci.2021.106931)

2021

Wang, D.Y., Luo, X.Y. ORCID logoORCID: https://orcid.org/0000-0002-8753-4210 and Stewart, P.S. ORCID logoORCID: https://orcid.org/0000-0002-0971-8057 (2021) Energetics of collapsible channel flow with a nonlinear fluid-beam model. Journal of Fluid Mechanics, 926, A2. (doi: 10.1017/jfm.2021.642)

Wang, Danyang, Luo, Xiaoyu ORCID logoORCID: https://orcid.org/0000-0002-8753-4210 and Stewart, Peter S. ORCID logoORCID: https://orcid.org/0000-0002-0971-8057 (2021) Multiple steady and oscillatory solutions in a collapsible channel flow. International Journal of Applied Mechanics, 13(6), 2150058. (doi: 10.1142/S1758825121500587)

2020

Griffiths, I.M., Mitevski, I., Vujkovac, I., Illingworth, M.R. and Stewart, P.S. ORCID logoORCID: https://orcid.org/0000-0002-0971-8057 (2020) The role of tortuosity in filtration efficiency: a general network model for filtration. Journal of Membrane Science, 598, 117664. (doi: 10.1016/j.memsci.2019.117664)

Spelman, T.A. and Stewart, P.S. ORCID logoORCID: https://orcid.org/0000-0002-0971-8057 (2020) Shock wave propagation along the central retinal blood vessels. Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences, 476(2234), 20190269. (doi: 10.1098/rspa.2019.0269) (PMID:32201473)

2019

Stewart, Peter S. ORCID logoORCID: https://orcid.org/0000-0002-0971-8057 and Foss, Alexander J.E. (2019) Self-excited oscillations in a collapsible channel with applications to retinal venous pulsation. ANZIAM Journal, 61(3), pp. 320-348. (doi: 10.1017/S1446181119000117)

2017

Stewart, Peter S. ORCID logoORCID: https://orcid.org/0000-0002-0971-8057 and Hilgenfeldt, Sascha (2017) Cracks and fingers: dynamics of ductile fracture in an aqueous foam. Colloids and Surfaces A: Physicochemical and Engineering Aspects, 534, pp. 58-70. (doi: 10.1016/j.colsurfa.2017.03.057)

MacTaggart, David ORCID logoORCID: https://orcid.org/0000-0003-2297-9312 and Stewart, Peter ORCID logoORCID: https://orcid.org/0000-0002-0971-8057 (2017) Optimal energy growth in current sheets. Solar Physics, 292(10), 148. (doi: 10.1007/s11207-017-1177-1)

Stewart, Peter S. ORCID logoORCID: https://orcid.org/0000-0002-0971-8057 (2017) Instabilities in flexible channel flow with large external pressure. Journal of Fluid Mechanics, 825, pp. 922-960. (doi: 10.1017/jfm.2017.404)

2016

Stewart, Peter S. ORCID logoORCID: https://orcid.org/0000-0002-0971-8057, Waters, Sarah L., El Sayed, Tamer, Vella, Dominic and Goriely, Alain (2016) Wrinkling, creasing, and folding in fiber-reinforced soft tissues. Extreme Mechanics Letters, 8, pp. 22-29. (doi: 10.1016/j.eml.2015.10.005)

Griffiths, I. M., Kumar, A. and Stewart, P.S. ORCID logoORCID: https://orcid.org/0000-0002-0971-8057 (2016) Designing asymmetric multilayered membrane filters with improved performance. Journal of Membrane Science, 511, pp. 108-118. (doi: 10.1016/j.memsci.2016.02.028)

2015

Stewart, Peter S. ORCID logoORCID: https://orcid.org/0000-0002-0971-8057, Davis, Stephen H. and Hilgenfeldt, Sascha (2015) Microstructural effects in aqueous foam fracture. Journal of Fluid Mechanics, 785, pp. 425-461. (doi: 10.1017/jfm.2015.636)

Stewart, Peter S. ORCID logoORCID: https://orcid.org/0000-0002-0971-8057, Feng, Jie, Kimpton, Laura S., Griffiths, Ian M. and Stone, Howard A. (2015) Stability of a bi-layer free film: simultaneous or individual rupture events? Journal of Fluid Mechanics, 777, pp. 27-49. (doi: 10.1017/jfm.2015.346)

Hermans, Thomas, Bishop, Kyle, Stewart, Peter ORCID logoORCID: https://orcid.org/0000-0002-0971-8057, Davis, Stephen and Grzybowski, Bartosz (2015) Vortex flows impart chirality-specific lift forces. Nature Communications, 6, 5640. (doi: 10.1038/ncomms6640) (PMID:25580954)

Agraval, Umiya, Qi, Nan, Stewart, Peter ORCID logoORCID: https://orcid.org/0000-0002-0971-8057, Luo, Xiaoyu ORCID logoORCID: https://orcid.org/0000-0002-8753-4210, Williams, Graeme, Rotchford, Alan and Ramaesh, Kanna (2015) Optimum size of iridotomy in uveitis. Clinical and Experimental Ophthalmology, 43(7), pp. 692-696. (doi: 10.1111/ceo.12528) (PMID:25881493)

Hermans, Thomas M., Stewart, Peter S. ORCID logoORCID: https://orcid.org/0000-0002-0971-8057 and Grzybowski, Bartosz A. (2015) A pH-oscillator stretched in space but frozen in time. Journal of Physical Chemistry Letters, 6(5), pp. 760-766. (doi: 10.1021/jz502711c)

Stewart, Peter S. ORCID logoORCID: https://orcid.org/0000-0002-0971-8057 and Jensen, Oliver E. (2015) Patterns of recruitment and injury in a heterogeneous airway network model. Journal of the Royal Society: Interface, 12, 20150523. (doi: 10.1098/rsif.2015.0523)

2014

Griffiths, I.M., Kumar, A. and Stewart, P.S. ORCID logoORCID: https://orcid.org/0000-0002-0971-8057 (2014) A combined network model for membrane fouling. Journal of Colloid and Interface Science, 432, pp. 10-18. (doi: 10.1016/j.jcis.2014.06.021) (PMID:25042380)

Stewart, Peter S. ORCID logoORCID: https://orcid.org/0000-0002-0971-8057, Jensen, Oliver E and Foss, Alexander J E (2014) A theoretical model to allow prediction of the CSF pressure from observing the retinal venous pulse. Investigative Ophthalmology and Visual Science, 55(10), pp. 6319-6323. (doi: 10.1167/iovs.14-14331)

Lang, Georgina E., Stewart, Peter S. ORCID logoORCID: https://orcid.org/0000-0002-0971-8057, Vella, Dominic, Waters, Sarah L. and Goriely, Alain (2014) Is the Donnan effect sufficient to explain swelling in brain tissue slices? Journal of the Royal Society: Interface, 11(96), p. 20140123. (doi: 10.1098/rsif.2014.0123) (PMID:24759543)

2013

Davis, M.J., Stewart, P. ORCID logoORCID: https://orcid.org/0000-0002-0971-8057 and Davis, S. (2013) Local effects of gravity on foams. Journal of Fluid Mechanics, 737, pp. 1-18. (doi: 10.1017/jfm.2013.433)

Stewart, P. ORCID logoORCID: https://orcid.org/0000-0002-0971-8057, Davis, S. and Hilgenfeldt, S. (2013) Viscous Rayleigh–Taylor instability in aqueous foams. Colloids and Surfaces A: Physicochemical and Engineering Aspects, 436(5), pp. 898-905. (doi: 10.1016/j.colsurfa.2013.08.021)

Stewart, P.S. ORCID logoORCID: https://orcid.org/0000-0002-0971-8057 and Davis, S.H. (2013) Self-similar coalescence of clean foams. Journal of Fluid Mechanics, 722, pp. 645-664. (doi: 10.1017/jfm.2013.145)

2012

Stewart, Peter S. ORCID logoORCID: https://orcid.org/0000-0002-0971-8057 and Davis, Stephen H. (2012) Dynamics and stability of metallic foams: Network modeling. Journal of Rheology, 56(3), p. 543. (doi: 10.1122/1.3695029)

2010

Stewart, Peter S. ORCID logoORCID: https://orcid.org/0000-0002-0971-8057, Heil, Matthias, Waters, Sarah L. and Jensen, Oliver E. (2010) Sloshing and slamming oscillations in a collapsible channel flow. Journal of Fluid Mechanics, 662, pp. 288-319. (doi: 10.1017/S0022112010003277)

Stewart, Peter S. ORCID logoORCID: https://orcid.org/0000-0002-0971-8057, Waters, Sarah L., Billingham, John and Jensen, Oliver E. (2010) Spatially localised growth within global instabilities of flexible channel flows. In: Schlatter, Philipp and Henningson, Dan S. (eds.) Seventh IUTAM Symposium on Laminar-Turbulent Transition: Proceedings of the Seventh Iutam Symposium on Laminar-turbulent Transition, Stockholm, Sweden, 2009. Series: IUTAM bookseries (18). Springer: Dordrecht, pp. 397-402. ISBN 9789048137220

Stewart, Peter S. ORCID logoORCID: https://orcid.org/0000-0002-0971-8057, Waters, Sarah L. and Jensen, Oliver E. (2010) Local instabilities of flow in a flexible channel: Asymmetric flutter driven by a weak critical layer. Physics of Fluids, 22(3), 031902. (doi: 10.1063/1.3337824)

2009

Stewart, P. ORCID logoORCID: https://orcid.org/0000-0002-0971-8057, Waters, S.L. and Jensen, O.E. (2009) Local and global instabilities of flow in a flexible-walled channel. European Journal of Mechanics - B/Fluids, 28(4), pp. 541-557. (doi: 10.1016/j.euromechflu.2009.03.002)

This list was generated on Sat Jul 12 12:25:59 2025 BST.
Jump to: Articles | Book Sections
Number of items: 44.

Articles

Stewart, Peter S. ORCID logoORCID: https://orcid.org/0000-0002-0971-8057, Hill, Russell A., Oduor, Ayub M.O., Stephens, Philip A., Whittingham, Mark J. and Dawson, Wayne (2025) Multi-species impacts of invasive Opuntia cacti on mammal habitat use. Ecology Letters, 28(7), e70163. (doi: 10.1111/ele.70163) (PMID:40600780)

Tweedy, Jennifer H., Dvoriashyna, Mariia, Crawshaw, Jessica R., Overby, Darryl R., Repetto, Rodolfo, Roberts, Paul A., Spelman, Tamsin A., Stewart, Peter S. ORCID logoORCID: https://orcid.org/0000-0002-0971-8057 and Foss, Alexander J.E. (2025) A model of the mechanisms underpinning unconventional aqueous humor outflow. Investigative Ophthalmology and Visual Science, 66(4), 75. (doi: 10.1167/iovs.66.4.75) (PMID:40293397) (PMCID:PMC12060054)

Stewart, Peter S. ORCID logoORCID: https://orcid.org/0000-0002-0971-8057, Roy, Alasdair T. and Hilgenfeldt, Sascha (2025) Nonlinear Rayleigh-Taylor instability in an accelerated soap film. Journal of Engineering Mathematics, 150(1), 14. (doi: 10.1007/s10665-024-10421-8)

McNicol, Gordon R., Dalby, Matthew J. ORCID logoORCID: https://orcid.org/0000-0002-0528-3359 and Stewart, Peter S. ORCID logoORCID: https://orcid.org/0000-0002-0971-8057 (2025) A theoretical model for focal adhesion and cytoskeleton formation in non-motile cells. Journal of Theoretical Biology, 596, 111965. (doi: 10.1016/j.jtbi.2024.111965) (PMID:39442686)

Herrer, E. G., Herrada, M. A., Gañán-Calvo, A. M. and Stewart, P. S. ORCID logoORCID: https://orcid.org/0000-0002-0971-8057 (2024) Stability of finite-length collapsible channel flow to spanwise perturbations. Physics of Fluids, 36(12), 124105. (doi: 10.1063/5.0237604)

Stewart, Peter S. ORCID logoORCID: https://orcid.org/0000-0002-0971-8057, Brook, Bindi S., Jensen, Oliver E., Spelman, Tamsin A., Whittaker, Robert J. and Zouache, Moussa A. (2024) Rapid amplification of cerebrospinal fluid pressure as a possible mechanism for optic nerve sheath bleeding in infants with nonaccidental head injury. Investigative Ophthalmology and Visual Science, 65(12), 9. (doi: 10.1167/iovs.65.12.9) (PMID:39374008) (PMCID:PMC11463713)

Thekkethil, Namshad, Köry, Jakub ORCID logoORCID: https://orcid.org/0000-0002-4476-2547, Guo, Ming, Stewart, Peter S. ORCID logoORCID: https://orcid.org/0000-0002-0971-8057, Hill, Nicholas A. ORCID logoORCID: https://orcid.org/0000-0003-3079-828X and Luo, Xiaoyu ORCID logoORCID: https://orcid.org/0000-0002-8753-4210 (2024) Modelling the rheology of living cell cytoplasm: Poroviscoelasticity and fluid-to-solid transition. Biomechanics and Modeling in Mechanobiology, 23, pp. 1551-1569. (doi: 10.1007/s10237-024-01854-2)

Köry, Jakub ORCID logoORCID: https://orcid.org/0000-0002-4476-2547, Stewart, P.S. ORCID logoORCID: https://orcid.org/0000-0002-0971-8057, Hill, N.A. ORCID logoORCID: https://orcid.org/0000-0003-3079-828X, Luo, X. ORCID logoORCID: https://orcid.org/0000-0002-8753-4210 and Pandolfi, A. (2024) A discrete-to-continuum model for the human cornea with application to keratoconus. Royal Society Open Science, 11(7), 240265. (doi: 10.1098/rsos.240265) (PMID:39050729) (PMCID:PMC11265872)

Spelman, Tamsin A., Onah, Ifeanyi S., MacTaggart, David ORCID logoORCID: https://orcid.org/0000-0003-2297-9312 and Stewart, Peter S. ORCID logoORCID: https://orcid.org/0000-0002-0971-8057 (2024) Elastic jump propagation across a blood vessel junction. Royal Society Open Science, 11(7), 232000. (doi: 10.1098/rsos.232000) (PMID:39021781) (PMCID:PMC11252672)

Köry, J. ORCID logoORCID: https://orcid.org/0000-0002-4476-2547, Hill, N.A. ORCID logoORCID: https://orcid.org/0000-0003-3079-828X, Luo, X.Y. ORCID logoORCID: https://orcid.org/0000-0002-8753-4210 and Stewart, P.S. ORCID logoORCID: https://orcid.org/0000-0002-0971-8057 (2024) Discrete-to-continuum models of pre-stressed cytoskeletal filament networks. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 480(2290), 20230611. (doi: 10.1098/rspa.2023.0611)

Wang, Danyang, Luo, Xiaoyu ORCID logoORCID: https://orcid.org/0000-0002-8753-4210, Liu, Zishun and Stewart, Peter S. ORCID logoORCID: https://orcid.org/0000-0002-0971-8057 (2023) Flow-induced surface instabilities in a flexible-walled channel with a heavy wall. Journal of Fluid Mechanics, 956, A1. (doi: 10.1017/jfm.2022.1086)

Du, Yangkun ORCID logoORCID: https://orcid.org/0000-0001-6868-4646, Stewart, Peter ORCID logoORCID: https://orcid.org/0000-0002-0971-8057, Hill, Nicholas A. ORCID logoORCID: https://orcid.org/0000-0003-3079-828X, Yin, Huabing ORCID logoORCID: https://orcid.org/0000-0001-7693-377X, Penta, Raimondo ORCID logoORCID: https://orcid.org/0000-0003-1202-8775, Köry, Jakub ORCID logoORCID: https://orcid.org/0000-0002-4476-2547, Luo, Xiaoyu ORCID logoORCID: https://orcid.org/0000-0002-8753-4210 and Ogden, Raymond ORCID logoORCID: https://orcid.org/0000-0002-7002-7028 (2023) Nonlinear indentation of second-order hyperelastic materials. Journal of the Mechanics and Physics of Solids, 171, 105139. (doi: 10.1016/j.jmps.2022.105139)

Stewart, Peter S. ORCID logoORCID: https://orcid.org/0000-0002-0971-8057 and Hilgenfeldt, Sascha (2023) Gas-liquid foam dynamics: from structural elements to continuum descriptions. Annual Reviews of Fluid Mechanics, 55, pp. 323-350. (doi: 10.1146/annurev-fluid-032822-125417)

Barry, Roxanna G., Hill, Nicholas A. ORCID logoORCID: https://orcid.org/0000-0003-3079-828X and Stewart, Peter S. ORCID logoORCID: https://orcid.org/0000-0002-0971-8057 (2022) Continuum soft tissue models from upscaling of arrays of hyperelastic cells. Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences, 478(2266), 20220065. (doi: 10.1098/rspa.2022.0065)

Griffiths, I. M. and Stewart, P. S. ORCID logoORCID: https://orcid.org/0000-0002-0971-8057 (2022) A hybrid discrete–continuum framework for modelling filtration. Journal of Membrane Science, 647, 120258. (doi: 10.1016/j.memsci.2022.120258)

Herrada, M.A., Blanco-Trejo, S., Eggers, J. and Stewart, P.S. ORCID logoORCID: https://orcid.org/0000-0002-0971-8057 (2022) Global stability analysis of flexible channel flow with a hyperelastic wall. Journal of Fluid Mechanics, 934, A28. (doi: 10.1017/jfm.2021.1131)

Wang, Zhaokun, Wang, Chenglei, Zhao, Fuwang, Qi, Nan, Lockington, David, Ramaesh, Kanna, Stewart, Peter S. ORCID logoORCID: https://orcid.org/0000-0002-0971-8057, Luo, Xiaoyu ORCID logoORCID: https://orcid.org/0000-0002-8753-4210 and Tang, Hui (2022) Simulation of fluid-structure interaction during the phaco-emulsification stage of cataract surgery. International Journal of Mechanical Sciences, 214, 106931. (doi: 10.1016/j.ijmecsci.2021.106931)

Wang, D.Y., Luo, X.Y. ORCID logoORCID: https://orcid.org/0000-0002-8753-4210 and Stewart, P.S. ORCID logoORCID: https://orcid.org/0000-0002-0971-8057 (2021) Energetics of collapsible channel flow with a nonlinear fluid-beam model. Journal of Fluid Mechanics, 926, A2. (doi: 10.1017/jfm.2021.642)

Wang, Danyang, Luo, Xiaoyu ORCID logoORCID: https://orcid.org/0000-0002-8753-4210 and Stewart, Peter S. ORCID logoORCID: https://orcid.org/0000-0002-0971-8057 (2021) Multiple steady and oscillatory solutions in a collapsible channel flow. International Journal of Applied Mechanics, 13(6), 2150058. (doi: 10.1142/S1758825121500587)

Griffiths, I.M., Mitevski, I., Vujkovac, I., Illingworth, M.R. and Stewart, P.S. ORCID logoORCID: https://orcid.org/0000-0002-0971-8057 (2020) The role of tortuosity in filtration efficiency: a general network model for filtration. Journal of Membrane Science, 598, 117664. (doi: 10.1016/j.memsci.2019.117664)

Spelman, T.A. and Stewart, P.S. ORCID logoORCID: https://orcid.org/0000-0002-0971-8057 (2020) Shock wave propagation along the central retinal blood vessels. Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences, 476(2234), 20190269. (doi: 10.1098/rspa.2019.0269) (PMID:32201473)

Stewart, Peter S. ORCID logoORCID: https://orcid.org/0000-0002-0971-8057 and Foss, Alexander J.E. (2019) Self-excited oscillations in a collapsible channel with applications to retinal venous pulsation. ANZIAM Journal, 61(3), pp. 320-348. (doi: 10.1017/S1446181119000117)

Stewart, Peter S. ORCID logoORCID: https://orcid.org/0000-0002-0971-8057 and Hilgenfeldt, Sascha (2017) Cracks and fingers: dynamics of ductile fracture in an aqueous foam. Colloids and Surfaces A: Physicochemical and Engineering Aspects, 534, pp. 58-70. (doi: 10.1016/j.colsurfa.2017.03.057)

MacTaggart, David ORCID logoORCID: https://orcid.org/0000-0003-2297-9312 and Stewart, Peter ORCID logoORCID: https://orcid.org/0000-0002-0971-8057 (2017) Optimal energy growth in current sheets. Solar Physics, 292(10), 148. (doi: 10.1007/s11207-017-1177-1)

Stewart, Peter S. ORCID logoORCID: https://orcid.org/0000-0002-0971-8057 (2017) Instabilities in flexible channel flow with large external pressure. Journal of Fluid Mechanics, 825, pp. 922-960. (doi: 10.1017/jfm.2017.404)

Stewart, Peter S. ORCID logoORCID: https://orcid.org/0000-0002-0971-8057, Waters, Sarah L., El Sayed, Tamer, Vella, Dominic and Goriely, Alain (2016) Wrinkling, creasing, and folding in fiber-reinforced soft tissues. Extreme Mechanics Letters, 8, pp. 22-29. (doi: 10.1016/j.eml.2015.10.005)

Griffiths, I. M., Kumar, A. and Stewart, P.S. ORCID logoORCID: https://orcid.org/0000-0002-0971-8057 (2016) Designing asymmetric multilayered membrane filters with improved performance. Journal of Membrane Science, 511, pp. 108-118. (doi: 10.1016/j.memsci.2016.02.028)

Stewart, Peter S. ORCID logoORCID: https://orcid.org/0000-0002-0971-8057, Davis, Stephen H. and Hilgenfeldt, Sascha (2015) Microstructural effects in aqueous foam fracture. Journal of Fluid Mechanics, 785, pp. 425-461. (doi: 10.1017/jfm.2015.636)

Stewart, Peter S. ORCID logoORCID: https://orcid.org/0000-0002-0971-8057, Feng, Jie, Kimpton, Laura S., Griffiths, Ian M. and Stone, Howard A. (2015) Stability of a bi-layer free film: simultaneous or individual rupture events? Journal of Fluid Mechanics, 777, pp. 27-49. (doi: 10.1017/jfm.2015.346)

Hermans, Thomas, Bishop, Kyle, Stewart, Peter ORCID logoORCID: https://orcid.org/0000-0002-0971-8057, Davis, Stephen and Grzybowski, Bartosz (2015) Vortex flows impart chirality-specific lift forces. Nature Communications, 6, 5640. (doi: 10.1038/ncomms6640) (PMID:25580954)

Agraval, Umiya, Qi, Nan, Stewart, Peter ORCID logoORCID: https://orcid.org/0000-0002-0971-8057, Luo, Xiaoyu ORCID logoORCID: https://orcid.org/0000-0002-8753-4210, Williams, Graeme, Rotchford, Alan and Ramaesh, Kanna (2015) Optimum size of iridotomy in uveitis. Clinical and Experimental Ophthalmology, 43(7), pp. 692-696. (doi: 10.1111/ceo.12528) (PMID:25881493)

Hermans, Thomas M., Stewart, Peter S. ORCID logoORCID: https://orcid.org/0000-0002-0971-8057 and Grzybowski, Bartosz A. (2015) A pH-oscillator stretched in space but frozen in time. Journal of Physical Chemistry Letters, 6(5), pp. 760-766. (doi: 10.1021/jz502711c)

Stewart, Peter S. ORCID logoORCID: https://orcid.org/0000-0002-0971-8057 and Jensen, Oliver E. (2015) Patterns of recruitment and injury in a heterogeneous airway network model. Journal of the Royal Society: Interface, 12, 20150523. (doi: 10.1098/rsif.2015.0523)

Griffiths, I.M., Kumar, A. and Stewart, P.S. ORCID logoORCID: https://orcid.org/0000-0002-0971-8057 (2014) A combined network model for membrane fouling. Journal of Colloid and Interface Science, 432, pp. 10-18. (doi: 10.1016/j.jcis.2014.06.021) (PMID:25042380)

Stewart, Peter S. ORCID logoORCID: https://orcid.org/0000-0002-0971-8057, Jensen, Oliver E and Foss, Alexander J E (2014) A theoretical model to allow prediction of the CSF pressure from observing the retinal venous pulse. Investigative Ophthalmology and Visual Science, 55(10), pp. 6319-6323. (doi: 10.1167/iovs.14-14331)

Lang, Georgina E., Stewart, Peter S. ORCID logoORCID: https://orcid.org/0000-0002-0971-8057, Vella, Dominic, Waters, Sarah L. and Goriely, Alain (2014) Is the Donnan effect sufficient to explain swelling in brain tissue slices? Journal of the Royal Society: Interface, 11(96), p. 20140123. (doi: 10.1098/rsif.2014.0123) (PMID:24759543)

Davis, M.J., Stewart, P. ORCID logoORCID: https://orcid.org/0000-0002-0971-8057 and Davis, S. (2013) Local effects of gravity on foams. Journal of Fluid Mechanics, 737, pp. 1-18. (doi: 10.1017/jfm.2013.433)

Stewart, P. ORCID logoORCID: https://orcid.org/0000-0002-0971-8057, Davis, S. and Hilgenfeldt, S. (2013) Viscous Rayleigh–Taylor instability in aqueous foams. Colloids and Surfaces A: Physicochemical and Engineering Aspects, 436(5), pp. 898-905. (doi: 10.1016/j.colsurfa.2013.08.021)

Stewart, P.S. ORCID logoORCID: https://orcid.org/0000-0002-0971-8057 and Davis, S.H. (2013) Self-similar coalescence of clean foams. Journal of Fluid Mechanics, 722, pp. 645-664. (doi: 10.1017/jfm.2013.145)

Stewart, Peter S. ORCID logoORCID: https://orcid.org/0000-0002-0971-8057 and Davis, Stephen H. (2012) Dynamics and stability of metallic foams: Network modeling. Journal of Rheology, 56(3), p. 543. (doi: 10.1122/1.3695029)

Stewart, Peter S. ORCID logoORCID: https://orcid.org/0000-0002-0971-8057, Heil, Matthias, Waters, Sarah L. and Jensen, Oliver E. (2010) Sloshing and slamming oscillations in a collapsible channel flow. Journal of Fluid Mechanics, 662, pp. 288-319. (doi: 10.1017/S0022112010003277)

Stewart, Peter S. ORCID logoORCID: https://orcid.org/0000-0002-0971-8057, Waters, Sarah L. and Jensen, Oliver E. (2010) Local instabilities of flow in a flexible channel: Asymmetric flutter driven by a weak critical layer. Physics of Fluids, 22(3), 031902. (doi: 10.1063/1.3337824)

Stewart, P. ORCID logoORCID: https://orcid.org/0000-0002-0971-8057, Waters, S.L. and Jensen, O.E. (2009) Local and global instabilities of flow in a flexible-walled channel. European Journal of Mechanics - B/Fluids, 28(4), pp. 541-557. (doi: 10.1016/j.euromechflu.2009.03.002)

Book Sections

Stewart, Peter S. ORCID logoORCID: https://orcid.org/0000-0002-0971-8057, Waters, Sarah L., Billingham, John and Jensen, Oliver E. (2010) Spatially localised growth within global instabilities of flexible channel flows. In: Schlatter, Philipp and Henningson, Dan S. (eds.) Seventh IUTAM Symposium on Laminar-Turbulent Transition: Proceedings of the Seventh Iutam Symposium on Laminar-turbulent Transition, Stockholm, Sweden, 2009. Series: IUTAM bookseries (18). Springer: Dordrecht, pp. 397-402. ISBN 9789048137220

This list was generated on Sat Jul 12 12:25:59 2025 BST.

Grants

CI on EPSRC SofTMech Statistical Emulation and Translation Hub (2021-2024) (FEC: £1.5M).

CI on EPSRC SofTMech with MIT (USA) and Politechnico di Milano (POLIMI, It) (SofTMechMP) (2020-2023)
(FEC: £2M).

PI on EPSRC First Grant entitled ‘Elastic Jumps on Networks’ (2017-2019) (FEC: £125k).

CI on EPSRC Centre for Multi-scale Soft Tissue Mechanics (2016-2020) (FEC: £2.5M).

Supervision

I am always on the look out for interested PhD students. I would be happy to supervise projects on any of my research interests.

Current PhD students include:

Sunday Ifeanyi Onah (2020-), The Riemann problem at a bifurcation in a collapsible tube (with David MacTaggart)

Gordon McNicol (2020-), A mathematical model for nanokicking (with Matt Dalby)

Atrayee Bhattacharya (2021-), Mathematical modelling of retinal vein occlusion (with Hao Gao and Dirk Husmeier)

Dr Danyang Wang (2014-2018), The energetics of self-excited oscillations in collapsible channel flow (with Xiaoyu Luo)

Dr Ahmed Mostafa Abdelhady Ismaeel (2015-2019), Mathematical modelling of cancer treatment by photothermal ablation (with Xiaoyu Luo)

Dr Roxanna Barry (2016-2020), Discrete-to-continuum modelling of cells to tissues (with Nick Hill)

 

Teaching

I am currently the deputy head of Mathematics 1 (2019-2023), where I coordinate our online assessments.

Research datasets

Jump to: 2025 | 2024 | 2023 | 2022 | 2021 | 2020 | 2019 | 2017 | 2015
Number of items: 13.

2025

Stewart, P. , Luo, X., Zishin, L. and Danyang, W. (2025) Instabilities in collapsible channel flow with a pre-tensioned wall. [Data Collection]

2024

Stewart, P. (2024) Rapid amplification of cerebrospinal fluid pressure as a possible mechanism for optic nerve sheath bleeding in infants with non-accidental head injury. [Data Collection]

Spelman, T., Onah, I. S., Mactaggart, D. and Stewart, P. (2024) Elastic jump propagation across a blood vessel junction. [Data Collection]

2023

Koery, J. , Hill, N. , Luo, X. and Stewart, P. (2023) Discrete-to-continuum models of pre-stressed cytoskeletal filament networks. [Data Collection]

2022

Wang, D., Luo, X. and Stewart, P. (2022) Flow-induced surface instabilities in a flexible-walled channel with a heavy wall. [Data Collection]

2021

Herrada, M. A., Blanco-Trejo, S., Eggers, J. and Stewart, P. (2021) Global stability analysis of flexible channel flow with a hyperelastic wall. [Data Collection]

Wang, D., Luo, X. and Stewart, P. (2021) Multiple Steady and Oscillatory Solutions in a Collapsible Channel Flow. [Data Collection]

Wang, D., Luo, X. , Cai, Z. and Stewart, P. (2021) Energetics of a collapsible channel flow with a nonlinear fluid-beam model. [Data Collection]

2020

Stewart, P. , Barry, R. and Hill, N. (2020) Continuum soft tissue models from upscaling arrays of hyperelastic cells. [Data Collection]

2019

Stewart, P. and Foss, A. (2019) Self-excited oscillations in a collapsible channel, with applications to retinal venous pulsation. [Data Collection] (Unpublished)

Stewart, P. and Spelman, T. (2019) Shock wave propagation along the central retinal blood vessels. [Data Collection]

2017

Stewart, P. (2017) Instabilities in flexible channel flow with large external pressure. [Data Collection]

2015

Stewart, P. and Jensen, O. (2015) Patterns of recruitment and injury in a heterogeneous airway network model. [Data Collection]

This list was generated on Sat Jul 12 12:26:00 2025 BST.