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Effect of hydrodynamic heterogeneity on micromixing intensification in a Taylor–Couette flow reactor with variable configurations of inner cylinder (2021)
Journal Article
Liu, L., Yang, X., Yang, J., Li, G., & Guo, Y. (2021). Effect of hydrodynamic heterogeneity on micromixing intensification in a Taylor–Couette flow reactor with variable configurations of inner cylinder. AIChE Journal, 67(7), Article e17225. https://doi.org/10.1002/aic.17225

Effect of hydrodynamic heterogeneity on micromixing intensification in a Taylor–Couette flow (TC) reactor with variable configurations of inner cylinder has been investigated by adoption of a parallel competing iodide-iodate reaction system. Two type... Read More about Effect of hydrodynamic heterogeneity on micromixing intensification in a Taylor–Couette flow reactor with variable configurations of inner cylinder.

Explicit and asymptotic solutions for frictional incomplete half-plane contacts subject to general oscillatory loading in the steady-state (2020)
Journal Article
Andresen, H., Fleury, R., Moore, M., & Hills, D. (2021). Explicit and asymptotic solutions for frictional incomplete half-plane contacts subject to general oscillatory loading in the steady-state. Journal of the Mechanics and Physics of Solids, 146, Article 104214. https://doi.org/10.1016/j.jmps.2020.104214

This contribution presents an asymptotic formulation for the stick-slip behaviour of incomplete contacts under oscillatory variation of normal load, moment, shear load and differential bulk tension. The asymptotic description allows us not only to ap... Read More about Explicit and asymptotic solutions for frictional incomplete half-plane contacts subject to general oscillatory loading in the steady-state.

Representation of incomplete contact problems by half-planes (2020)
Journal Article
Andresen, H., Hills, D., & Moore, M. (2021). Representation of incomplete contact problems by half-planes. European Journal of Mechanics - A/Solids, 85, Article 104138. https://doi.org/10.1016/j.euromechsol.2020.104138

for finding the optimal choices of the applied remote loads – the applied normal force, moment, shear force and remote bulk stresses – needed to solve frictional contact problems in partial-slip using half-plane theory are derived by using data from... Read More about Representation of incomplete contact problems by half-planes.

A note on the Stokes phenomenon in flow under an elastic sheet: Stokes Phenomenon in flow under a sheet (2020)
Journal Article
Lustri, C. J., Koens, L., & Pethiyagoda, R. (2020). A note on the Stokes phenomenon in flow under an elastic sheet: Stokes Phenomenon in flow under a sheet. Philosophical transactions. Series A, Mathematical, physical, and engineering sciences, 378(2179), Article 20190530. https://doi.org/10.1098/rsta.2019.0530

The Stokes phenomenon is a class of asymptotic behaviour that was first discovered by Stokes in his study of the Airy function. It has since been shown that the Stokes phenomenon plays a significant role in the behaviour of surface waves on flows pas... Read More about A note on the Stokes phenomenon in flow under an elastic sheet: Stokes Phenomenon in flow under a sheet.

A Variance Gamma model for Rugby Union matches (2020)
Journal Article
Fry, J., Smart, O., Serbera, J.-P., & Klar, B. (2021). A Variance Gamma model for Rugby Union matches. Journal of Quantitative Analysis in Sports, 17(1), 67-75. https://doi.org/10.1515/jqas-2019-0088

Amid much recent interest we discuss a Variance Gamma model for Rugby Union matches (applications to other sports are possible). Our model emerges as a special case of the recently introduced Gamma Difference distribution though there is a rich histo... Read More about A Variance Gamma model for Rugby Union matches.

Extending the Mossakovskii method to contacts supporting a moment (2020)
Journal Article
Moore, M. R., & Hills, D. A. (2020). Extending the Mossakovskii method to contacts supporting a moment. Journal of the Mechanics and Physics of Solids, 141, Article 103989. https://doi.org/10.1016/j.jmps.2020.103989

In this article, we extend the Mossakovskii approach to half-plane contacts supporting a moment. Since the method relies on approximating the punch geometry by a series of flat punches, we choose the load path in (P, M)-space that fixes the body tilt... Read More about Extending the Mossakovskii method to contacts supporting a moment.

Quantifying the sustainability of Bitcoin and Blockchain (2020)
Journal Article
Fry, J., & Serbera, J.-P. (2020). Quantifying the sustainability of Bitcoin and Blockchain. Journal of Enterprise Information Management, 33(6), 1379-1394. https://doi.org/10.1108/JEIM-06-2018-0134

Purpose
The authors develop new quantitative methods to estimate the level of speculation and long-term sustainability of Bitcoin and Blockchain.

Design/methodology/approach
The authors explore the practical application of speculative bubble mod... Read More about Quantifying the sustainability of Bitcoin and Blockchain.

Generalised geometric swimming for Stokes flow (2019)
Presentation / Conference Contribution
Koens, L., & Lauga, E. (2019, November). Generalised geometric swimming for Stokes flow. Presented at 72nd Annual Meeting of the APS Division of Fluid Dynamics, Seattle, Washington

Shapere and Wilczek first demonstrated that the displacement of a microscopic swimmer was related to path integrals over a gauge field. This field is a function of the swimmers configuration and laboratory frame position. For simple 1D swimmers, Stok... Read More about Generalised geometric swimming for Stokes flow.

The steady state partial slip problem for half plane contacts subject to a constant normal load using glide dislocations (2019)
Journal Article
Andresen, H., Hills, D., & Moore, M. (2020). The steady state partial slip problem for half plane contacts subject to a constant normal load using glide dislocations. European Journal of Mechanics - A/Solids, 79, Article 103868. https://doi.org/10.1016/j.euromechsol.2019.103868

A new solution for general half-plane contact problems subject to a constant normal load together with alternating shear loads and tension in the steady state is presented. The method uses a formulation where a displacement correction is made to the... Read More about The steady state partial slip problem for half plane contacts subject to a constant normal load using glide dislocations.

A Light-Driven Microgel Rotor (2019)
Journal Article
Zhang, H., Koens, L., Lauga, E., Mourran, A., & Möller, M. (2019). A Light-Driven Microgel Rotor. Small, 15(46), Article 1903379. https://doi.org/10.1002/smll.201903379

The current understanding of motility through body shape deformation of micro-organisms and the knowledge of fluid flows at the microscale provides ample examples for mimicry and design of soft microrobots. In this work, a 2D spiral is presented that... Read More about A Light-Driven Microgel Rotor.

The valuation of no-negative equity guarantees and equity release mortgages (2019)
Journal Article
Dowd, K., Blake, D., Buckner, D., & Fry, J. (2019). The valuation of no-negative equity guarantees and equity release mortgages. Economics letters, 184, Article 108669. https://doi.org/10.1016/j.econlet.2019.108669

We outline the valuation process for a No-Negative Equity Guarantee in an Equity Release Mortgage loan and for an Equity Release Mortgage that has such a guarantee. Illustrative valuations are provided based on the Black ’76 put pricing formula and m... Read More about The valuation of no-negative equity guarantees and equity release mortgages.

Method of regularised stokeslets: Flow analysis and improvement of convergence (2019)
Journal Article
Zhao, B., Lauga, E., & Koens, L. (2019). Method of regularised stokeslets: Flow analysis and improvement of convergence. Physical Review Fluids, 4(8), Article 084104. https://doi.org/10.1103/PhysRevFluids.4.084104

Since their development in 2001, regularised stokeslets have become a popular numerical tool for low-Reynolds number flows since the replacement of a point force by a smoothed blob overcomes many computational difficulties associated with flow singul... Read More about Method of regularised stokeslets: Flow analysis and improvement of convergence.

Algebra, matrices, and computers (2019)
Journal Article
Detinko, A., Flannery, D., & Hulpke, A. (2019). Algebra, matrices, and computers. Snapshots of modern mathematics from Oberwolfach, 5, 1-12. https://doi.org/10.14760/SNAP-2019-005-EN

What part does algebra play in representing the real world abstractly? How can algebra be used to solve hard mathematical problems with the aid of modern computing technology? We provide answers to these questions that rely on the theory of matrix gr... Read More about Algebra, matrices, and computers.

The strong approximation theorem and computing with linear groups (2019)
Journal Article
Detinko, A. S., Flannery, D. L., & Hulpke, A. (2019). The strong approximation theorem and computing with linear groups. Journal of Algebra, 529, 536-549. https://doi.org/10.1016/j.jalgebra.2019.04.011

We obtain a computational realization of the strong approximation theorem. That is, we develop algorithms to compute all congruence quotients modulo rational primes of a finitely generated Zariski dense group for . More generally, we are able to com... Read More about The strong approximation theorem and computing with linear groups.

Practical computation with linear groups over infinite domains (2019)
Book Chapter
Detinko, A. S., & Flannery, D. L. (2019). Practical computation with linear groups over infinite domains. In C. Campbell, C. Parker, M. Quick, E. Robertson, & C. Roney-Dougal (Eds.), Groups St Andrews 2017 in Birmingham (261-270). Cambridge University Press. https://doi.org/10.1017/9781108692397.011

We survey recent progress in computing with finitely generated linear groups over infinite fields, describing the mathematical background of a methodology applied to design practical algorithms for these groups. Implementations of the algorithms have... Read More about Practical computation with linear groups over infinite domains.

Would two-stage scoring models alleviate bank exposure to bad debt? (2019)
Journal Article
Abdou, H. A., Mitra, S., Fry, J., & El Amer, A. (2019). Would two-stage scoring models alleviate bank exposure to bad debt?. Expert Systems with Applications, 128, 1-13. https://doi.org/10.1016/j.eswa.2019.03.028

The main aim of this paper is to investigate how far applying suitably conceived and designed credit scoring models can properly account for the incidence of default and help improve the decision-making process. Four statistical modelling techniques,... Read More about Would two-stage scoring models alleviate bank exposure to bad debt?.

Berry-Esseen bounds in the inhomogeneous Curie-Weiss model with external field (2019)
Journal Article
Dommers, S., & Eichelsbacher, P. (online). Berry-Esseen bounds in the inhomogeneous Curie-Weiss model with external field. Stochastic processes and their applications, https://doi.org/10.1016/j.spa.2019.02.007

We study the inhomogeneous Curie-Weiss model with external field, where the inhomo-geneity is introduced by adding a positive weight to every vertex and letting the interaction strength between two vertices be proportional to the product of their wei... Read More about Berry-Esseen bounds in the inhomogeneous Curie-Weiss model with external field.