| Analytical methods for perfect wedge diffraction: A review MA Nethercote, RC Assier, ID Abrahams Wave Motion 93, 102479, 2020 | 40 | 2020 |
| On the diffraction of acoustic waves by a quarter-plane RC Assier, N Peake Wave Motion 49 (1), 64-82, 2012 | 29 | 2012 |
| An integral equation method for the homogenization of unidirectional fibre-reinforced media; antiplane elasticity and other potential problems D Joyce, WJ Parnell, RC Assier, ID Abrahams Proceedings of the Royal Society A: Mathematical, Physical and Engineering …, 2017 | 22 | 2017 |
| Diffraction by a quarter–plane. Analytical continuation of spectral functions RC Assier, AV Shanin The Quarterly Journal of Mechanics and Applied Mathematics 72 (1), 51-86, 2019 | 21 | 2019 |
| Linear and weakly nonlinear instability of a premixed curved flame under the influence of its spontaneous acoustic field RC Assier, X Wu Journal of fluid mechanics 758, 180-220, 2014 | 19 | 2014 |
| Precise description of the different far fields encountered in the problem of diffraction of acoustic waves by a quarter-plane RC Assier, N Peake IMA Journal of Applied Mathematics 77 (5), 605-625, 2012 | 14 | 2012 |
| A surprising observation in the quarter-plane diffraction problem RC Assier, ID Abrahams SIAM Journal on Applied Mathematics 81 (1), 60-90, 2021 | 12* | 2021 |
| Effective dynamics for low-amplitude transient elastic waves in a 1D periodic array of non-linear interfaces C Bellis, B Lombard, M Touboul, R Assier Journal of the Mechanics and Physics of Solids 149, 104321, 2021 | 11 | 2021 |
| High-frequency homogenization in periodic media with imperfect interfaces RC Assier, M Touboul, B Lombard, C Bellis Proceedings of the Royal Society A 476 (2244), 20200402, 2020 | 11 | 2020 |
| Spectral study of the Laplace–Beltrami operator arising in the problem of acoustic wave scattering by a quarter-plane RC Assier, C Poon, N Peake The Quarterly Journal of Mechanics and Applied Mathematics 69 (3), 281-317, 2016 | 11 | 2016 |
| Transient thermal mixed boundary value problems in the half-space WJ Parnell, VH Nguyen, R Assier, S Naili, ID Abrahams SIAM Journal on Applied Mathematics 76 (3), 845-866, 2016 | 11 | 2016 |
| On the asymptotic properties of a canonical diffraction integral RC Assier, ID Abrahams Proceedings of the Royal Society A 476 (2242), 20200150, 2020 | 10 | 2020 |
| Acoustic scattering from a one-dimensional array; Tail-end asymptotics for efficient evaluation of the quasi-periodic Green’s function GM Lynott, V Andrew, ID Abrahams, MJ Simon, WJ Parnell, RC Assier Wave Motion 89, 232-244, 2019 | 10 | 2019 |
| Analytical continuation of two-dimensional wave fields RC Assier, AV Shanin Proceedings of the Royal Society A 477 (2245), 20200681, 2021 | 8 | 2021 |
| Transient thermal boundary value problems in the half-space with mixed convective boundary conditions N Gorbushin, VH Nguyen, WJ Parnell, RC Assier, S Naili Journal of Engineering Mathematics 114, 141-158, 2019 | 7 | 2019 |
| Vertex Green’s functions of a quarter-plane: links between the functional equation, additive crossing and lamé functions RC Assier, AV Shanin The Quarterly Journal of Mechanics and Applied Mathematics 74 (3), 251-295, 2021 | 6 | 2021 |
| Modelling thermo-acoustic instabilities of an anchored laminar flame in a simple lean premixed combustor: including hydrodynamic effects CM Luzzato, R Assier, A Morgans, X Wu 19th AIAA/CEAS Aeroacoustics Conference, 2003, 2013 | 6 | 2013 |
| Diffraction by a Right-Angled No-Contrast Penetrable Wedge Revisited: A Double Wiener--Hopf Approach VD Kunz, R Assier SIAM Journal on Applied Mathematics 82 (4), 1495-1519, 2022 | 5 | 2022 |
| High-contrast approximation for penetrable wedge diffraction MA Nethercote, RC Assier, ID Abrahams IMA Journal of Applied Mathematics 85 (3), 421-466, 2020 | 5 | 2020 |
| Diffraction of acoustic waves by a wedge of point scatterers MA Nethercote, AV Kisil, RC Assier SIAM Journal on Applied Mathematics 82 (3), 872-898, 2022 | 4 | 2022 |
Ian David AbrahamsProfessor of Applied Mathematics, University of CambridgeAdresse e-mail validée de cam.ac.uk
