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20152026
most citedAnalytical methods for perfect wedge diffraction: a review

43 citations · 115 across the 26 of their papers we have counts for

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6 papers · 1 filter

math.AP2026

Plane wave representations for wave scattering on a sphere

Valentin D. Kunz, Andrey V. Shanin, Raphael C. Assier

Motivated by three-dimensional wave diffraction by conical shapes, we consider the two-dimensional problem of wave scattering on the real sphere resulting from a po…

physics.flu-dyn2026

Direct Numerical Simulation of Thermoacoustically Unstable Flames Via Non-Drifting Acoustic Delay Characteristic Boundary Conditions

Benjamin L. Cookman, Jack R. C. King, Raphaël C. Assier +1

Thermoacoustic instability in premixed flames results from the coupling between the flame's heat release, as determined by combustion parameters, and surrounding acoustics, as dete…

math-ph2026

Effective mass density for wave propagation in periodic layered media in the elasto-acoustic transition

Gabriel Núñez, William J. Parnell, Raphaël C. Assier

This article investigates the effective mass density for acoustic and elastic wave propagation in layered media, with emphasis on its transition between these regimes. Conventional…

math-ph2026

Waves within a network of slowly time-modulated interfaces: time-dependent effective properties, reciprocity and high-order dispersion

Michaël Darche, Raphaël Assier, Sébastien Guenneau +2

We consider wave propagation through a 1D periodic network of slowly time-modulated interfaces. Each interface is modelled by time-dependent spring-mass jump conditions, where mass…

math.AP2026

Plane-wave representation for the Laplace--Beltrami equation on a sphere. Application to the Green's function

Andrey V. Shanin, Valentin D. Kunz, Raphael C. Assier

We propose an extension of the plane-wave representation for wave fields defined on the real sphere . This representation is well-known in the planar setting but has…

math-ph2026

Wave scattering by a transversal defect in a discrete waveguide

Elena Medvedeva, Raphael Assier, Anastasia Kisil

We study wave scattering by a finite transversal strip in a discrete square-lattice waveguide with Dirichlet boundary conditions imposed on the strip and the waveguide walls. The s…