(If you do not have access to the journal articles, feel free to contact me.)
Hulse J. J., Lanzani L., Llewellyn Smith S.G. & Luca E., The unified transform method: beyond circular or convex domains, Proc. R. Soc. A, 481, 2319, (2025), doi:10.1098/rspa.2025.0313. [PRSA version, arxiv]
Hulse J. J., Lanzani L., Llewellyn Smith S. G. & Luca E., A transform-based technique for solving boundary value problems on convex planar domains, IMA J. Appl. Math., 89, 574–597, (2024), doi:10.1093/imamat/hxae018. [IMA version, arxiv]
Crowdy D. G. & Luca E., Analytical solutions for two-dimensional singly periodic Stokes flow singularity arrays near walls, J. Eng. Math., 119, 199–215, (2019), doi:10.1007/s10665-019-10025-7. [Springer version, arxiv]
Llewellyn Smith S. G. & Luca E., Numerical solution of scattering problems using a Riemann–Hilbert formulation, Proc. R. Soc. A, 475, 2229, (2019). doi:10.1098/rspa.2019.0105. [PRSA version, arxiv]
Luca E. & Llewellyn Smith S. G., Stokes flow through a two-dimensional channel with a linear expansion, Q. J. Mech. Appl. Math., 71, 441–462, (2018). doi:10.1093/qjmam/hby013. [QJMAM version]
Luca E. & Crowdy D. G., A transform method for the biharmonic equation in multiply connected circular domains, IMA J. Appl. Math., 83, 942–976, (2018). doi:10.1093/imamat/hxy030. [IMA version]
Luca E., Marshall J. S. & Karamanis G., Longitudinal shear flow over a bubble mattress with curved menisci: arbitrary protrusion angle and solid fraction, IMA J. Appl. Math., 83, 917–941, (2018). doi:10.1093/imamat/hxy029. [IMA version]
Crowdy D. G. & Luca E., Fast evaluation of the fundamental singularities of two-dimensional doubly periodic Stokes flow, J. Eng. Math., 111, 95–110, (2018). doi:10.1007/s10665-018-9956-8. [Springer version]
Crowdy D. G. & Luca E., Solving Wiener–Hopf problems without kernel factorization, Proc. R. Soc. A, 470, 2170, (2014). doi:10.1098/rspa.2014.0304. [PRSA version]
Louca E.*, A new transform approach to biharmonic boundary value problems in circular domains with applications to Stokes flows, PhD Dissertation, Imperial College London, (2016). thesis