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Homogenization and ...
Homogenization and concentration for a diffusion equation with large convection in a bounded domain
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- Allaire, G. (författare)
- Ecole Polytechnique, Palaiseau Cedex, France
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- Pankratova, Iryna (författare)
- Narvik University College, Narvik, Norway
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- Piatnitski, A. (författare)
- Lebedev Physical Institute RAS, Moscow, Russia
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(creator_code:org_t)
- Elsevier BV, 2012
- 2012
- Engelska.
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Ingår i: Journal of Functional Analysis. - : Elsevier BV. - 0022-1236 .- 1096-0783. ; 262:1, s. 300-330
- Relaterad länk:
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https://doi.org/10.1...
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https://urn.kb.se/re...
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Abstract
Ämnesord
Stäng
- 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.
Ämnesord
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Nyckelord
- Homogenization
- Convection–diffusion
- Localization
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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