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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.