Homogenization and correctors for the wave equation with periodic coefficients-Reference-Cited by-同舟云学术

Homogenization and correctors for the wave equation with periodic coefficients

Published:2014-04-14 Issue:07 Volume:24 Page:1343-1388
ISSN:0218-2025
Container-title:Mathematical Models and Methods in Applied Sciences
language:en
Short-container-title:Math. Models Methods Appl. Sci.

Author:

Casado-Díaz Juan¹,Couce-Calvo Julio¹,Maestre Faustino¹,Martín Gómez José D.¹

Affiliation:

1. Departamento de Ecuaciones Diferenciales y Análisis Numérico, Universtity of Seville, C. Tarfía s/n, Seville, 41012, Spain

Abstract

Using the two-scale convergence method, we study the asymptotic behavior of a wave problem in ℝN with periodic coefficients in the space variable and almost-periodic coefficients in the time one. We obtain a nonlocal corrector and show how this implies that the limit problem is nonlocal in general.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218202514500031

Reference23 articles.

1. Homogenization and Two-Scale Convergence

2. Localization of high-frequency waves propagating in a locally periodic medium

3. Diffractive behavior of the wave equation in periodic media: weak convergence analysis

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