The null condition and global existence of nonlinear elsastic waves.
The reflection phenomena of -waves in a generalized thermoelastic medium.
The weak boundary effect in a field as a source approaches the boundary.
Theoretical aspects and numerical computation of the time-harmonic Green's function for an isotropic elastic half-plane with an impedance boundary condition
This work presents an effective and accurate method for determining, from a theoretical and computational point of view, the time-harmonic Green's function of an isotropic elastic half-plane where an impedance boundary condition is considered. This method, based on the previous work done by Durán et al. (cf. [Numer. Math.107 (2007) 295–314; IMA J. Appl. Math.71 (2006) 853–876]) for the Helmholtz equation in a half-plane, combines appropriately analytical and numerical techniques, which has an important...
Thermoelastic wave propagation in a rotating elastic medium without energy dissipation.
Thermoelastic waves in an infinite solid caused by a line heat source.
Thermoelastic waves without energy dissipation in an unbounded body with a spherical cavity.
Thermo-viscoelastic Rayleigh waves under the influence of couple-stress and gravity.
Time splitting for wave equations in random media
Numerical simulation of high frequency waves in highly heterogeneous media is a challenging problem. Resolving the fine structure of the wave field typically requires extremely small time steps and spatial meshes. We show that capturing macroscopic quantities of the wave field, such as the wave energy density, is achievable with much coarser discretizations. We obtain such a result using a time splitting algorithm that solves separately and successively propagation and scattering in the simplified...
Time splitting for wave equations in random media
Numerical simulation of high frequency waves in highly heterogeneous media is a challenging problem. Resolving the fine structure of the wave field typically requires extremely small time steps and spatial meshes. We show that capturing macroscopic quantities of the wave field, such as the wave energy density, is achievable with much coarser discretizations. We obtain such a result using a time splitting algorithm that solves separately and successively propagation and scattering in the...
Transient disturbances in a relaxing thermoelastic half space due to moving internal heat source.
Transmission Of Waves Through A Magnetized Layer Imbedded Between Two Half-Spaces
Traveling waves in a cylinder rolling on a flat surface
Traveling waves in rapid solidification.
Two theorems on convergence of Fourier integrals and Fourier series
Uniform stabilization for elastic waves system with highly nonlinear localized dissipation.
Uniqueness in an inverse problem for an elasticity system.
Vibrations élastiques excitées par une onde gravitationnelle
Vibrations excitées par une onde gravitationnelle dans les milieux élastiques et viscoélastiques
Wave splitting for first-order systems of equations.