Asymptotic analysis of abstract two-scale wave propagation problems - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Preprints, Working Papers, ... Year : 2024

Asymptotic analysis of abstract two-scale wave propagation problems

Abstract

This work addresses the mathematical analysis, by means of asymptotic analysis, of linear wave propagation problems involving two scales, represented by a single small parameter, and written in an abstract setting. This abstract setting is defined using linear operators in Hilbert spaces and also enters the framework of semi-group theory. In this setting, we show, under some assumptions on the structure of the wave propagation problems, weak and strong convergence of solutions with respect to the small parameter towards the solution of a well-defined limit problem.
Fichier principal
Vignette du fichier
twoscalepb.pdf (405.43 Ko) Télécharger le fichier
Origin Files produced by the author(s)

Dates and versions

hal-03306856 , version 1 (29-07-2021)
hal-03306856 , version 2 (03-05-2024)

Licence

Identifiers

  • HAL Id : hal-03306856 , version 2

Cite

Sébastien Imperiale. Asymptotic analysis of abstract two-scale wave propagation problems. 2024. ⟨hal-03306856v2⟩
164 View
104 Download

Share

Gmail Mastodon Facebook X LinkedIn More