Lyndon Koens

Dr Lyndon Koens

Lecturer of Applied Mathematics

School of Computer and Mathematical Sciences

Faculty of Sciences, Engineering and Technology

Eligible to supervise Masters and PhD - email supervisor to discuss availability.

I work on the dynamics of microscopic systems. Colloids, bacteria and micromachines all display complex dynamical behaviour. This is due to the dynamics of an object at this scale critically depends on its physical interactions and shape. In my work I develop models to understand and model these emergent phenomena. In doing so I have dealt with viscous flows, Brownian motion, surface tension, electromagnetism, non-Newtonian fluids and quantum mechanics. Typically in these explorations I use asymptotic and numerical techniques to develop simple and accurate models for microscopic dynamic systems. In doing so I have regularised singular integrals, inverted integral equations and evaluated stochastic differential equations.

I work on the dynamics of microscopic systems. Colloids, bacteria and micromachines all display complex dynamical behaviour. This is due to the dynamics of an object at this scale critically depends on its physical interactions and shape. In my work I develop models to understand and model these emergent phenomena. In doing so I have dealt with viscous flows, Brownian motion, surface tension, electromagnetism, non-Newtonian fluids and quantum mechanics. Typically in these explorations I use asymptotic and numerical techniques to develop simple and accurate models for microscopic dynamic systems. In doing so I have regularised singular integrals, inverted integral equations and evaluated stochastic differential equations.

  • Journals
    Year Citation
    2025 Iqbal, T., Penington, C., Thomas, C., & Koens, L. (2025). Taylor swimming sheet under a finite Brinkman layer. PHYSICAL REVIEW FLUIDS, 10(7), 18 pages.
    DOI
    2024 Katsamba, P., Butler, M. D., Koens, L., & Montenegro-Johnson, T. D. (2024). Slender phoretic loops and knots. Physical Review Fluids, 9(5), 28 pages.
    DOI Scopus1
    2024 Koens, L., & Walker, B. J. (2024). Viscous tubular-body theory for plane interfaces. Journal of Fluid Mechanics, 979, 33 pages.
    DOI
    2023 Koens, L., Vernekar, R., Krüger, T., Lisicki, M., & Inglis, D. W. (2023). The slow viscous flow around a general rectangular doubly-periodic arrays of infinite slender cylinders. IMA Journal of Applied Mathematics Institute of Mathematics and Its Applications, 88(6), 869-887.
    DOI
    2022 Wang, W., Gardi, G., Malgaretti, P., Kishore, V., Koens, L., Son, D., . . . Sitti, M. (2022). Order and information in the patterns of spinning magnetic micro-disks at the air-water interface. Science Advances, 8(2), eabk0685.
    DOI Scopus29 Europe PMC21
    2022 Tanasijević, I., Jung, O., Koens, L., Mourran, A., & Lauga, E. (2022). Jet-driven viscous locomotion of confined thermoresponsive microgels. Applied Physics Letters, 120(10), 6 pages.
    DOI Scopus4
    2022 Katsamba, P., Butler, M. D., Koens, L., & Montenegro-Johnson, T. D. (2022). Chemically active filaments: analysis and extensions of slender phoretic theory. Soft Matter, 18(37), 7051-7063.
    DOI Scopus4
    2022 Koens, L. (2022). Tubular-body theory for viscous flows. Physical Review Fluids, 7(3), 10 pages.
    DOI Scopus7
    2021 Koens, L., & Montenegro-Johnson, T. D. (2021). Local drag of a slender rod parallel to a plane wall in a viscous fluid. Physical Review Fluids, 6(6), 16 pages.
    DOI Scopus8
    2021 Koens, L., & Lauga, E. (2021). Geometric phase methods with Stokes theorem for a general viscous swimmer. Journal of Fluid Mechanics, 916, 43 pages.
    DOI Scopus4
    2021 Zhao, B., & Koens, L. (2021). Regularized stokeslets lines suitable for slender bodies in viscous flow. Fluids, 6(9), 335.
    DOI Scopus2
    2020 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 of the Royal Society A Mathematical Physical and Engineering Sciences, 378(2179), 20190530.
    DOI Scopus2
    2019 Zhang, H., Koens, L., Lauga, E., Mourran, A., & Möller, M. (2019). A Light-Driven Microgel Rotor. Small, 15(46), 9 pages.
    DOI Scopus38 Europe PMC12
    2019 Zhao, B., Lauga, E., & Koens, L. (2019). Method of regularized stokeslets: Flow analysis and improvement of convergence. Physical Review Fluids, 4(8), 21 pages.
    DOI Scopus13
    2019 Koens, L., Wang, W., Sitti, M., & Lauga, E. (2019). The near and far of a pair of magnetic capillary disks. Soft Matter, 15(7), 1497-1507.
    DOI Scopus7 Europe PMC3
    2018 Koens, L., & Lauga, E. (2018). The boundary integral formulation of Stokes flows includes slender-body theory. Journal of Fluid Mechanics, 850, R11-R112.
    DOI Scopus43
    2018 Koens, L., Zhang, H., Moeller, M., Mourran, A., & Lauga, E. (2018). The swimming of a deforming helix. European Physical Journal E, 41(10), 14 pages.
    DOI Scopus10 Europe PMC3
    2017 Koens, L., & Lauga, E. (2017). Analytical solutions to slender-ribbon theory. Physical Review Fluids, 2(8), 20 pages.
    DOI Scopus11
    2017 Koens, L., Lisicki, M., & Lauga, E. (2017). The non-Gaussian tops and tails of diffusing boomerangs. Soft Matter, 13(16), 2977-2982.
    DOI Scopus8 Europe PMC2
    2017 Montenegro-Johnson, T. D., Koens, L., & Lauga, E. (2017). Microscale flow dynamics of ribbons and sheets. Soft Matter, 13(3), 546-553.
    DOI Scopus11 Europe PMC2
    2016 Koens, L., & Lauga, E. (2016). Rotation of slender swimmers in isotropic-drag media. Physical Review E, 93(4), 6 pages.
    DOI Scopus5 Europe PMC2
    2016 Man, Y., Koens, L., & Lauga, E. (2016). Hydrodynamic interactions between nearby slender filaments. Epl, 116(2), 6 pages.
    DOI Scopus29
    2016 Koens, L., & Lauga, E. (2016). Slender-ribbon theory. Physics of Fluids, 28(1), 26 pages.
    DOI Scopus22
    2015 Godínez, F. A., Koens, L., Montenegro-Johnson, T. D., Zenit, R., & Lauga, E. (2015). Complex fluids affect low-Reynolds number locomotion in a kinematic-dependent manner. Experiments in Fluids, 56(5), 10 pages.
    DOI Scopus16
    2014 Koens, L., & Lauga, E. (2014). The passive diffusion of Leptospira interrogans. Physical Biology, 11(6), 12 pages.
    DOI Scopus17 Europe PMC3
    2013 Koens, L., Simula, T. P., & Martin, A. M. (2013). Vibrations of a columnar vortex in a trapped Bose-Einstein condensate. Physical Review A Atomic Molecular and Optical Physics, 87(6), 5 pages.
    DOI Scopus5
    2012 Koens, L., & Martin, A. M. (2012). Perturbative behavior of a vortex in a trapped Bose-Einstein condensate. Physical Review A Atomic Molecular and Optical Physics, 86(1), 11 pages.
    DOI Scopus11

  • Conference Papers
    Year Citation
    2018 Wang, W., Kishore, V., Koens, L., Lauga, E., & Sitti, M. (2018). Collectives of Spinning Mobile Microrobots for Navigation and Object Manipulation at the Air-Water Interface. In IEEE International Conference on Intelligent Robots and Systems (pp. 6186-6192). IEEE.
    DOI Scopus9
    2018 Wang, W., Kishore, V., Koens, L., Lauga, E., & Sitti, M. (2018). Collectives of Spinning Mobile Microrobots for Navigation and Object Manipulation at the Air-water Interface. In A. A. Maciejewski, A. Okamura, A. Bicchi, C. Stachniss, D. Z. Song, D. H. Lee, . . . L. Zollo (Eds.), 2018 IEEE/RSJ INTERNATIONAL CONFERENCE ON INTELLIGENT ROBOTS AND SYSTEMS (IROS) (pp. 6186-6192). SPAIN, Madrid: IEEE.

  • Other Supervision Activities
    Date Role Research Topic Location Program Supervision Type Student Load Student Name
    2025 - 2025 Principal Supervisor The hydrodynamics of microscopic filter feeders Macquarie University - Doctorate Full Time Tasawar Iqbal
    2024 - 2025 Principal Supervisor Regularisation effects on Green’s functions University of Hull - Master Full Time Luke Russel
    2024 - ongoing Principal Supervisor Inhalation of Micro-plastic fibres University of Hull - Doctorate Part Time Ed Page
    2022 - 2024 Co-Supervisor Quantitative methods for Ichnology Macquarie University - Doctorate Full Time Brittany Laing
  • Position: Lecturer of Applied Mathematics
  • Phone: 83135796
  • Email: lyndon.koens@adelaide.edu.au
  • Campus: North Terrace
  • Building: Ingkarni Wardli, floor Level Six
  • Room: 6.18
  • Org Unit: School of Computer and Mathematical Sciences
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