hig.sePublications
Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard-cite-them-right
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • sv-SE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • de-DE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
Homogenization of a nonstationary convection-diffusion equation in a thin rod and in a layer
Ecole Polytechnique, Palaiseau Cedex, France.
Narvik University College, Narvik, Norway; Ecole Polytechnique, Palaiseau Cedex, France.
Narvik University College, Narvik, Norway; Lebedev Physical Institute RAS, Moscow, Russia.
2012 (English)In: SeMA Journal, ISSN 1575-9822, Vol. 58, no 1, p. 53-95Article in journal (Refereed) Published
Abstract [en]

The paper deals with the homogenization of a non-stationary convection-diffusion equation defined in a thin rod or in a layer with Dirichlet boundary condition. Under the assumption that the convection term is large, we describe the evolution of the solution’s profile and determine the rate of its decay. The main feature of our analysis is that we make no assumption on the support of the initial data which may touch the domain’s boundary. This requires the construction of boundary layer correctors in the homogenization process which, surprisingly, play a crucial role in the definition of the leading order term at the limit. Therefore we have to restrict our attention to simple geometries like a rod or a layer for which the definition of boundary layers is easy and explicit.

Place, publisher, year, edition, pages
2012. Vol. 58, no 1, p. 53-95
Keywords [en]
Homogenization, convection-diffusion, localization, thin cylinder, layer
National Category
Mathematics
Identifiers
URN: urn:nbn:se:hig:diva-27153OAI: oai:DiVA.org:hig-27153DiVA, id: diva2:1222260
Available from: 2018-06-21 Created: 2018-06-21 Last updated: 2018-06-21Bibliographically approved

Open Access in DiVA

No full text in DiVA

Authority records BETA

Pankratova, Iryna

Search in DiVA

By author/editor
Pankratova, Iryna
In the same journal
SeMA Journal
Mathematics

Search outside of DiVA

GoogleGoogle Scholar

urn-nbn

Altmetric score

urn-nbn
Total: 2 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard-cite-them-right
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • sv-SE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • de-DE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf