Homogenization of Multi-spieces Reaction-diffusion systems in domains with rough boundaries

C. Mocenni, E. Sparacino, J. P. Zubelli

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

1 Scopus citations

Abstract

We address the problem of parametrizing the boundary data for reaction-diffusion partial differential equations associated to distributed systems that possess rough boundaries. Using techniques from homogenization theory and multiplescale analysis we present the effective equation and boundary conditions that are satisfied by the homogenized solution. We present numerical simulations that validate our theoretical results.

Original languageBritish English
Title of host publicationNumerical Analysis and Applied Mathematics - International Conference on Numerical Analysis and Applied Mathematics 2009, ICNAAM-2009
Pages89-92
Number of pages4
DOIs
StatePublished - 2009
EventInternational Conference on Numerical Analysis and Applied Mathematics 2009, ICNAAM-2009 - Rethymno, Crete, Greece
Duration: 18 Sep 200922 Sep 2009

Publication series

NameAIP Conference Proceedings
Volume1168
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

ConferenceInternational Conference on Numerical Analysis and Applied Mathematics 2009, ICNAAM-2009
Country/TerritoryGreece
CityRethymno, Crete
Period18/09/0922/09/09

Keywords

  • Homogenization
  • Multiple-scale analysis
  • Reaction-diffusion systems

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