Time harmonic wave propagation in one dimensional weakly randomly perturbed periodic media - Archive ouverte HAL Access content directly
Journal Articles SN Partial Differential Equations and Applications Year : 2020

Time harmonic wave propagation in one dimensional weakly randomly perturbed periodic media

Abstract

In this work we consider the solution of the time harmonic wave equation in a one dimensional periodic medium with weak random perturbations. More precisely, we study two types of weak perturbations: (1) the case of stationary, ergodic and oscillating coefficients, the typical size of the oscillations being small compared to the wavelength and (2) the case of rare random perturbations of the medium, where each period has a small probability to have its coefficients modified, independently of the other periods. Our goal is to derive an asymptotic approximation of the solution with respect to the small parameter. This can be used in order to construct absorbing boundary conditions for such media.
Fichier principal
Vignette du fichier
FG_v1.pdf (614.19 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-02504392 , version 1 (10-03-2020)

Identifiers

  • HAL Id : hal-02504392 , version 1

Cite

Sonia Fliss, Laure Giovangigli. Time harmonic wave propagation in one dimensional weakly randomly perturbed periodic media. SN Partial Differential Equations and Applications, inPress, 1 (40). ⟨hal-02504392⟩
238 View
248 Download

Share

Gmail Facebook X LinkedIn More