Publications

Journal Articles:

(If you do not have access to the journal articles, feel free to contact me)

1. 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

2. 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

3. 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

4. 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

5. 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

6. 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.

7. 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.

8. Luca E., Stokes flow in two-dimensional channel networks.

9. Luca E. & Marshall J. S., Thermal contact resistance in domains with arbitrary shaped adiabatic fractures.

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Thesis: 

• 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). link