Rayleigh wave scattering at the foot of a mountain.
Rayleigh waves in a thermoelastic granular medium under initial stress.
Rayleigh waves in a viscoelastic half-space under initial hydrostatic stress in the presence of the temperature field.
Reconstruction of the parameters of a system of connected beams from dynamic boundary measurements.
Recovering a time- and space-dependent kernel in a hyperbolic integro-differential equation from a restricted Dirichlet-to-Neumann operator.
Reflection and transmission of elastic waves at viscous liquid/micropolar elastic solid interface.
Reflection and transmission of seismic waves under initial stress at the earth's core-mantle boundary.
Résonances de Rayleigh en dimension 2
Nous étudions les résonances de Rayleigh créées par un obstacle strictement convexe à bord analytique en dimension 2. Nous montrons qu’il existe exactement deux suites de résonances et convergeant exponentiellement vite vers l’axe réel dans un voisinage polynomial de l’axe réel, et exponentiellement proches d’une suite de quasimodes réels. De plus, est un symbole analytique d’ordre 0 en la variable dont on donne le premier terme du développement. Nous construisons pour cela des quasimodes...
Résonances de Rayleigh en dimension deux
Rheologies quasi wave number independent in a sphere and splitting the spectral line
The solution of the equations which govern the slow motions (for which the inertia forces are negligible) in an elastic sphere is studied for a great variety of rheological models and surface tractions with rotational symmetry (Caputo 1984a). The solution is expressed in terms of spherical harmonics and it is shown that its time dependent component is dependent on the order of the harmonic. The dependence of the time component of the solution on the order of the harmonic number is studied. The problem...