- A Note on Circulation in Differentially Heated Rotating Stratified Fluid and Other Elliptic Problems
- , 2005.
- Dynamics
of Atmospheres and Oceans,
**40**(4), 283–294. - Equilibrium Conditions for the Floating of Multiple Interfacial Objects
- , 2006.
- Journal
of Fluid Mechanics,
**549**, 215–224. - Steady Axisymmetric Creeping Plumes above a Planar Boundary. Part I: A Point Source [ℰ]
- , 2006.
- Journal
of Fluid Mechanics,
**567**, 361–378. - Steady Axisymmetric Creeping Plumes above a Planar Boundary. Part II: A Distributed Source
- , 2006.
- Journal
of Fluid Mechanics,
**567**, 379–397. - Free Convection Beneath a Heated Horizontal Plate in a Rapidly Rotating System
- , 2007
- Journal
of Fluid Mechanics
**586**, 491–506. - The Self-Similar Rise of a Buoyant Thermal in Very Viscous Flow
- , 2008.
- Journal
of Fluid Mechanics,
**606**, 295–324. - Slender-body theory for Steady Sheared Plumes in Very Viscous Fluid
- , 2008.
- Journal
of Fluid Mechanics,
**612**, 21–44. - Mathematical Modelling of Fibre-Enhanced Perfusion inside a Tissue-Engineering Bioreactor
- , 2009.
- Journal
of Theoretical Biology,
**256**(4), 533–546. - The Energetics of Flow through a Rapidly Oscillating Tube. Part 1. General Theory [ℰ]
- , 2010.
- Journal
of Fluid Mechanics
**648**, 83–121. - The Energetics of Flow through a Rapidly Oscillating Tube. Part 2. Application to an Elliptical Tube
- , 2010.
- Journal
of Fluid Mechanics
**648**, 123–153. - A Rational Derivation of a Tube Law from Shell Theory [ℰ]
- , 2010.
- Quarterly Journal of Mechanics
and Applied Mathematics
**63**(4), 465–496. - Predicting the Onset of High-Frequency Self-Excited Oscillations in Elastic-Walled Tubes [ℰ]
- , 2010.
- Proceedings of the
Royal Society A
**466**(2124), 3635–3657. - The Energetics of Flow through a Rapidly Oscillating Tube with Slowly Varying Amplitude
- , 2011.
- Phil.
Trans. Roy. Soc. A
**369**(1947), 2989–3006. - Arenavirus Budding Resulting from Viral-Protein-Associated Cell Membrane Curvature
- Journal
of the Royal Society: Interface
**10**(86), 20130403. - Nonlinear Flexural Waves in Fluid-Filled Elastic Channels
- , 2015.
- Journal
of Fluids and Structures,
**52**, 16–36. - Stability of a Helicoidal Surface inside a Cylinder with Pinned Diameters (pre-print) [ℰ]
- , 2015.
- Quarterly Journal of Mechanics
and Applied Mathematics,
**68**(1), 23–52. - A Shear-Induced Boundary Layer near the Pinned Ends of a Buckled Elastic-Walled Tube
- , 2015.
- IMA
Journal of Applied Mathematics,
**80**(6) 1932–1967. - The Effect of Wall Inertia on High-Frequency Oscillations in an Elastic-Walled Tube (free access link)
- , 2017.
- Q. J. Mech. Appl. Math.,
**71**(1), 47–77.

- Infinite Prandtl Number Convection from a Localized Source
- , 2004.
- Conference presentation at the 57th Annual Meeting of the APS Division of Fluid Dynamics, Seattle, Washington.
- Infinite Prandtl Number Convection from a Localized Source above a Horizontal Boundary
- , 2005.
- Conference presentation at the 47th British Applied Mathematics Colloquium, University of Liverpool.
- The Floating and Sinking of Small Interfacial Objects
- , 2005.
- Conference presentation at the 58th Annual Meeting of the CAPS Division of Fluid Dynamics, Chicago, Illinois.
- Self-similar Thermals in Stokes Flow
- , 2006.
- Conference presentation at the 59th Annual Meeting of the APS Division of Fluid Dynamics, Tampa Bay, Florida.
- Analytic Solutions for Viscous Plumes and Thermals
- , 2006.
- Conference Poster.
- Fluid–Structure Interaction: Shell Theory and 3D Flow Instability in Collapsible Tubes
- , 2007.
- Conference Poster for the Fourth Physiological Flow Network Meeting, University of Manchester.
- Fluid–Structure Interaction in Collapsible Tubes
- , 2007.
- Invited speaker at a Workshop on Biomedical Computing, Simula Research, Oslo.
- Fluid Flow and Energy Transfer in Oscillating Collapsible Tubes
- , 2008.
- Invited speaker in the Differential Equations and Applications Seminar Series, OCIAM.
- Invited speaker in the Theoretical Mechanics Seminar Series, University of Nottingham.
- Oscillations in Flow Through a Flexible Tube
- , 2008/9.
- Conference presentation at the 7th Euromech Fluid Mechanics Conference, University of Manchester.
- Conference presentation at the 51st British Applied Mathematics Colloquium, University of Nottingham.
- High-Frequency Self-Excited Oscillations in Collapsible Tube Flows
- , 2009.
- Poster at the Cardiac Physiome Project Meeting, Isaac Newton Institute, University of Cambridge.
- High-Frequency Self-Excited Oscillations in Collapsible Tube Flows
- , 2009.
- Conference presentation at the 62nd Annual Meeting of the APS Division of Fluid Dynamics, Minneapolis, Minnesota.
- High-Frequency Self-Excited Oscillations in 3D Collapsible Tube Flows
- , 2009–11.
- Invited speaker in the Applied Mathematics Seminar Series, University of Manchester, October 2009.
- Invited speaker in the Applied Mathematics Seminar Series, University of Birmingham, January 2010.
- Invited speaker in the Mathematics Seminar Series, University of Exeter, March 2010.
- Invited speaker in the Applied Mathematics Seminar Series, University of East Anglia, March 2010.
- Invited speaker in the Bioengineering Seminar Series, Imperial College, June 2010.
- Invited speaker in the Applied Mathematics Seminar Series, Keele University, November 2011.
- High-Frequency Self-Excited Oscillations in 3D Collapsible Tube Flows
- , 2011.
- Invited speaker at the Physiological Fluid Mechanics Conference, Brunel University, July 2011.
- The Mechanics of Elastic-Walled Tubes (FSI Instability & Shear-Relaxation Boundary Layer)
- , 2012.
- Invited speaker in the Applied Maths Seminar Series, University of Southampton, October 2012.
- A Shear-Induced Boundary Layer near the Pinned Ends of a Buckled Elastic-Walled Tube
- , 2013.
- Conference presentation at the British Applied Mathematics Colloquium 2013, University of Leeds.
- Instability of Stretched and Twisted Soap Films in a Cylinder
- Conference presentation at the Foams and Minimal Surfaces — 12 Years On meeting, Isaac Newton Institute for Mathematical Sciences, February 2014.
- Mechanics and Instabilities of Fluid Conveying Elastic-Walled Tubes
- Invited seminar in the Applied Mathematics Seminar Series, University of Glasgow, October 2015.
- Boundary Layers for a 'Tube Law' at the Clamped End of an Elastic-Walled Tube
- , 2016.
- Conference presentation at the British Applied Mathematics Colloquiem 2016, University of Oxford, April 2016.
- Predicting the onset of high-frequency self-excited oscillations in a channel with an elastic wall
- .
- Conference presentation at the 69th Annual Meeting of the APS Division of Fluid Dynamics, Portland, Oregon, November 2016.
- Predicting the onset of high-frequency self-excited oscillations in a channel with an elastic wall
- .
- Conference presentation at the British Applied Mathematics Colloquiem 2017, University of Surry, April 2017.
- Stability of a twisted plateau border with line tension and bending stiffness
- .
- Conference presentation at the British Applied Mathematics Colloquiem 2017, University of Surry, April 2017.

- Real-Time Traffic Monitoring using Mobile Phone Data
- , 2005.
- In Report of the 49th European Study Group with industry, University of Oxford.
- Optimisation of Fluid Distribution Inside a Porous Construct
- , 2006.
- In Report of the 2006 Mathematics in Medicine Study Group, University of Nottingham.
- The Pull-Off Test for Soft Viscoelastic Solids
- , 2007.
- In Report of the 59th European Study Group with Industry, University of Nottingham.
- Continuous Non-Invasive Blood-Pressure Measurements
- , 2007.
- In Report of the 2007 Mathematics in Medicine Study Group, University of Southampton.
- Accuracy of a Video Odometry System for Trains
- , 2008.
- In Report of the 64th European Study Group with Industry, Heriot-Watt University.
- Chauffeur Braking
- , 2008.
- In Report of the 68th European Study Group with Industry, Southampton.
- Sodium flux during Haemodialysis
- , 2010.
- In Report of the 2009 Math in Medicine Study Group, University of Toronto.
- Measuring Vesicular Release from Neurons
- , 2010.
- In Report of the 2009 Mathematics in Medicine Study Group, Imperial College, London.
- Transport and Reaction Processes in Soil
- , 2010.
- In Report of the 73rd European Study Group with Industry, University of Warwick.
- Comparing Placentas from Normal and Abnormal Pregnancies
- , 2010.
- In Report of the 2010 Mathematics in Medicine Study Group, University of Strathclyde.
- Efficient Silicon Melting
- , 2011.
- In Report of the 80th European Study Group with Industry, University of Cardiff.
- Unraveling the Arenavirus Budding Mechanism
- , 2011.
- In Report of the 2011 Mathematics in Medicine Study Group, University of Reading.
- Inertial Navigation for Divers
- , 2012.
- In Report of the 85th European Study Group with Industry, University of East Anglia.
- Designing drugs for transmucosal delivery in the oral cavity. What are the optimum chemical properties?
- , 2012.
- In Report of the 2012 Mathematics in Medicine Study Group, Keele University.
- Targeting stem cells following i.v. injection using magnetic particle based approaches
- , 2012.
- In Report of the 2012 Mathematics in Medicine Study Group, Keele University.
- Train positioning and track location using video odometry and track curvature
- , 2014.
- In Report of the 100th European Study Group with Industry, University of Oxford.
- Understanding patterns of retinal haemorrhage
- , 2014.
- In Report of the 2014 Mathematics in Medicine Study Group, University of Cambridge.
- Slag Interface Instability
- 2015
- In Report of the 107th European Study Group with Industry, University of Manchester.
- Railway Traffic Management
- , 2017.
- In Report of the 130th European Study Group with Industry, University of Warwick.

- Drips to Drops — Bridging the Gap
- , 2002,
- Part III Essay, Mathematical Tripos, University of Cambridge.
- Robert Whittaker's Web Tips
- , 2003–2007.
- Online essays (
`https://robert.mathmos.net/webtips/`

). - Theoretical Solutions for Convective Flows in Geophysically Motivated Regimes
- , 2007.
- PhD Thesis, University of Cambridge.

- The Non-Linear Effect of Base-State Curvature on Self-Excited Oscillations in an Elastic-Walled Channel
- Submitted to Physical Review Fluids.
- Stability of Twisted Plateau Border with Line Tension and Bending Stiffness
- .
- Submitted to IMA Journal of Applied Mathematics.
- Shear-flow instability between two viscous fluids with high viscosity ratio
- .
- In preparation.
- Linear Temporal Stability of Plug Flow in an Elastic Channel
- In preparation.

The papers above marked with a "ℰ " are known to contain one of more errors. This is unfortunate, and I apologise for any inconvenience they may have caused. Full details can be found in my List of Errata.