Asymptotic analysis of a double porosity model with thin fissures
Journal Article
·
· Sbornik. Mathematics
- B.Verkin Institute for Low Temperature Physics and Engineering, National Academy of Sciences of Ukraine, Khar'kov (Ukraine)
An initial-boundary-value problem is considered for the parabolic equation {phi}{sup {epsilon}}(x)u{sub t}{sup {epsilon}}-div(A{sup {epsilon}}(x){nabla}u{sup {epsilon}}=f{sup {epsilon}}(x), x element of {omega}, t>0, with discontinuous diffusion tensor A{sup {epsilon}}(x). This tensor is assumed to degenerate as {epsilon}{yields}0 in the whole of the domain {omega} except on a set F{sup ({epsilon})} of asymptotically small measure. It is shown that the behaviour of the solutions u{sup {epsilon}} as {epsilon}{yields}0 is described by a homogenized model with memory.
- OSTI ID:
- 21208295
- Journal Information:
- Sbornik. Mathematics, Journal Name: Sbornik. Mathematics Journal Issue: 1 Vol. 194; ISSN 1064-5616
- Country of Publication:
- United States
- Language:
- English
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