Raphael Assier
Raphael Assier
Senior Lecturer in Applied Mathematics, University of Manchester
Verified email at manchester.ac.uk - Homepage
Title
Cited by
Cited by
Year
On the diffraction of acoustic waves by a quarter-plane
RC Assier, N Peake
Wave Motion 49 (1), 64-82, 2012
252012
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
132017
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
102014
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
92012
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
72016
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
62019
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
62016
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
62013
Analytical methods for perfect wedge diffraction: a review
MA Nethercote, RC Assier, ID Abrahams
Wave Motion 93, 102479, 2020
52020
A surprising observation on the quarter-plane problem
RC Assier, ID Abrahams
arXiv preprint arXiv:1905.03863, 2019
12019
Acoustic coupling in combustion instability
R Assier, X Wu
ICSV19, 2012
12012
High-contrast approximation for penetrable wedge diffraction
MA Nethercote, RC Assier, ID Abrahams
IMA Journal of Applied Mathematics 85 (3), 421-466, 2020
2020
Diffraction by a quarter-plane. Links between the functional equation, additive crossing and Lam\'e functions
RC Assier, AV Shanin
arXiv preprint arXiv:2004.08700, 2020
2020
On the asymptotic properties of an interesting integral
RC Assier, ID Abrahams
arXiv preprint arXiv:2003.00237, 2020
2020
On the asymptotic properties of an interesting diffraction integral
RC Assier, ID Abrahams
arXiv, arXiv: 2003.00237, 2020
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
2019
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 (1), 141-158, 2019
2019
A combustion instability model accounting for dynamic flame-flow-acoustic interactions
RC Assier, X Wu
2014
Flame instability under the influence of its spontaneous sound
R Assier, X Wu
19th AIAA/CEAS Aeroacoustics Conference, 2005, 2013
2013
Influence of vortical disturbances on flame-acoustics interactions
R Assier, X Wu
AIA-DAGA 2013, 2013
2013
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Articles 1–20