output
19932020
most citedObservation of Gravitational Waves from a Binary Black Hole Merger

14.2k citations

Showing 2015 · math.APShow all

5 papers · 2 filters

math.AP2015★ 6 cited

The multilayer shallow water system in the limit of small density contrast

Vincent Duchêne

We study the inviscid multilayer Saint-Venant (or shallow-water) system in the limit of small density contrast. We show that, under reasonable hyperbolicity conditions on the flow…

math.AP2015★ 16 cited

Volume integral equations for electromagnetic scattering in two dimensions

Martin Costabel, Eric Darrigrand, Hamdi Sakly

We study the strongly singular volume integral equation that describes the scattering of time-harmonic electromagnetic waves by a penetrable obstacle. We consider the case of a cyl…

math.AP2015★ 13 cited

Co-periodic stability of periodic waves in some Hamiltonian PDEs

Sylvie Benzoni-Gavage, Colin Mietka, L. Miguel Rodrigues

The stability of periodic traveling wave solutions to dispersive PDEs with respect to `arbitrary' perturbations is still widely open. The focus is put here on stability with respec…

math.AP2015★ 18 cited

Stability of viscous St. Venant roll-waves: from onset to infinite-Froude number limit

Blake Barker, Mathew A. Johnson, Pascal Noble +2

We study the spectral stability of roll-wave solutions of the viscous St. Venant equations modeling inclined shallow-water flow, both at onset in the small-Froude number or "weakly…

math.AP2015★ 33 cited

A new class of two-layer Green-Naghdi systems with improved frequency dispersion

Vincent Duchêne, Samer Israwi, Raafat Talhouk

We introduce a new class of Green-Naghdi type models for the propagation of internal waves between two (1+1)-dimensional layers of homogeneous, immiscible, ideal, incompressible, i…