On the diffraction of acoustic waves by a quarter-plane RC Assier, N Peake Wave Motion 49 (1), 64-82, 2012 | 25 | 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 | 13 | 2017 |

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 | 10 | 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 | 9 | 2012 |

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 | 7 | 2016 |

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 | 6 | 2019 |

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 | 6 | 2016 |

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 |

Analytical methods for perfect wedge diffraction: a review MA Nethercote, RC Assier, ID Abrahams Wave Motion 93, 102479, 2020 | 5 | 2020 |

A surprising observation on the quarter-plane problem RC Assier, ID Abrahams arXiv preprint arXiv:1905.03863, 2019 | 1 | 2019 |

Acoustic coupling in combustion instability R Assier, X Wu ICSV19, 2012 | 1 | 2012 |

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 |