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Raphael Assier
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Analytical methods for perfect wedge diffraction: a review
MA Nethercote, RC Assier, ID Abrahams
Wave Motion 93, 102479, 2020
452020
On the diffraction of acoustic waves by a quarter-plane
RC Assier, N Peake
Wave Motion 49 (1), 64-82, 2012
292012
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
232019
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
232017
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
192014
A surprising observation in the quarter-plane diffraction problem
RC Assier, ID Abrahams
SIAM Journal on Applied Mathematics 81 (1), 60-90, 2021
14*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
142020
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
132012
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
122021
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
112019
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
112016
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
112016
On the asymptotic properties of a canonical diffraction integral
RC Assier, ID Abrahams
Proceedings of the Royal Society A 476 (2242), 20200150, 2020
102020
Analytical continuation of two-dimensional wave fields
RC Assier, AV Shanin
Proceedings of the Royal Society A 477 (2245), 20200681, 2021
92021
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
82022
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
72022
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
72019
A contribution to the mathematical theory of diffraction: a note on double Fourier integrals
RC Assier, AV Shanin, AI Korolkov
The Quarterly Journal of Mechanics and Applied Mathematics 76 (1), 1-47, 2023
62023
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
62021
High-contrast approximation for penetrable wedge diffraction
MA Nethercote, RC Assier, ID Abrahams
IMA Journal of Applied Mathematics 85 (3), 421-466, 2020
62020
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