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Homogenization of a convection-diffusion equation in a thin rod structure
Université de Saint Étienne, St. Étienne, France.
Narvik University College, Narvik, Norway.
Narvik University College, Narvik, Norway.
2010 (English)In: Integral methods in science and engineering: Vol. 1, Boston: Birkhäuser Verlag, 2010, p. 279-290Chapter in book (Other academic)
Abstract [en]

This chapter is devoted to the homogenization of a stationary convection diffusion model problem in a thin rod structure. More precisely, we study the asymptotic behavior of solutions to a boundary value problem for a convection diffusion equation defined in a thin cylinder that is the union of two nonintersecting cylinders with a junction at the origin. We suppose that in each of these cylinders the coefficients are rapidly oscillating functions that are periodic in the axial direction, and that the microstructure period is of the same order as the cylinder diameter. On the lateral boundary of the cylinder we assume the Neumann boundary condition, while at the cylinder bases the Dirichlet boundary conditions are posed.

Place, publisher, year, edition, pages
Boston: Birkhäuser Verlag, 2010. p. 279-290
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Mathematics
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URN: urn:nbn:se:hig:diva-27158DOI: 10.1007/978-0-8176-4899-2_26ISBN: 978-0-8176-4898-5 (print)ISBN: 978-0-8176-4899-2 (electronic)OAI: oai:DiVA.org:hig-27158DiVA, id: diva2:1220909
Available from: 2018-06-19 Created: 2018-06-19 Last updated: 2018-06-21Bibliographically approved

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Pankratova, Iryna

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  • asciidoc
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