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Homogenization and concentration for a diffusion equation with large convection in a bounded domain
Ecole Polytechnique, Palaiseau Cedex, France.
Narvik University College, Narvik, Norway.
Lebedev Physical Institute RAS, Moscow, Russia.
2012 (engelsk)Inngår i: Journal of Functional Analysis, ISSN 0022-1236, E-ISSN 1096-0783, Vol. 262, nr 1, s. 300-330Artikkel i tidsskrift (Fagfellevurdert) Published
Abstract [en]

We consider the homogenization of a non-stationary convection–diffusion equation posed in a bounded domain with periodically oscillating coefficients and homogeneous Dirichlet boundary conditions. Assuming that the convection term is large, we give the asymptotic profile of the solution and determine its rate of decay. In particular, it allows us to characterize the “hot spot”, i.e., the precise asymptotic location of the solution maximum which lies close to the domain boundary and is also the point of concentration. Due to the competition between convection and diffusion, the position of the “hot spot” is not always intuitive as exemplified in some numerical tests.

sted, utgiver, år, opplag, sider
2012. Vol. 262, nr 1, s. 300-330
Emneord [en]
Homogenization, Convection–diffusion, Localization
HSV kategori
Identifikatorer
URN: urn:nbn:se:hig:diva-27154DOI: 10.1016/j.jfa.2011.09.014OAI: oai:DiVA.org:hig-27154DiVA, id: diva2:1222159
Tilgjengelig fra: 2018-06-21 Laget: 2018-06-21 Sist oppdatert: 2018-06-21bibliografisk kontrollert

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