Homogenization of time-dependent systems with Kelvin-Voigt damping by two-scale convergence

Robert E. Miller

doi:10.3934/dcds.1995.1.485

Article Contents

1995, Volume 1, Issue 4: 485-502. Doi: 10.3934/dcds.1995.1.485

This issue Previous Article Schrödinger equations with nonlinearity of integral type Next Article Breakdown of solutions to $\square u+u_t=|u|^{1+\alpha}$

Homogenization of time-dependent systems with Kelvin-Voigt damping by two-scale convergence

Robert E. Miller^1,

1.
Department of Mathematical Sciences, University of Arkansas, Fayetteville, Arkansas 72701

Received: December 31, 1994

Published: September 1995

Abstract Related Papers Cited by

Abstract

Allaire's results for elliptic problems on non-homogeneous media and on periodically perforated domains are extended to time-dependent problems. The main emphasis of the paper is to apply the method of two-scale convergence to problems in which the damping term has the same order spatial derivative as the stiffness term.

Keywords:

Mathematics Subject Classification: 35B27.

Citation:

Article Metrics

HTML views() PDF downloads(90) Cited by(0)

Homogenization of time-dependent systems with Kelvin-Voigt damping by two-scale convergence

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

Homogenization of time-dependent systems with Kelvin-Voigt damping by two-scale convergence

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content