English

Fibre homogenisation for time-dependent problems

Analysis of PDEs 2024-07-18 v2 Mathematical Physics math.MP

Abstract

In this article we provide a method for establishing operator-type error estimates between solutions to rapidly oscillating evolutionary equations and their homogenised counter parts. This method is exemplified by applications to the wave, heat and finally thermoelastic evolutionary systems.

Keywords

Cite

@article{arxiv.2407.09148,
  title  = {Fibre homogenisation for time-dependent problems},
  author = {Shane Cooper and Imane Essadeq and Marcus Waurick},
  journal= {arXiv preprint arXiv:2407.09148},
  year   = {2024}
}
R2 v1 2026-06-28T17:38:28.091Z