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Two asymptotic models for arrays of underground waste containers

Abstract:

We study the homogenization of two models of an underground nuclear waste repository. The nuclear waste cells are periodically stored in the middle of a geological layer and are the only source terms in a parabolic evolution problem. The diffusion constants have a very large contrast between the fuel repository and the soil. It is thus a combined problem of homogenization and singular perturbation. For two different asymptotic contrasts we give the homogenized limit problem which is rigorousl...

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Journal:
Applicable Analysis
Volume:
88
Issue:
10-11
Pages:
1445-1467
Publication date:
2009-10-01
EISSN:
1563-504X
ISSN:
0003-6811
Language:
English
Keywords:
Pubs id:
pubs:149224
UUID:
uuid:abc5f9ba-ee36-4e4f-93fb-c24a25332f5e
Local pid:
pubs:149224
Source identifiers:
149224
Deposit date:
2012-12-19

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