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Article type: Research Article
Authors: Colli, Pierluigi; | Rodrigues, José-Francisco
Affiliations: Dipartimento di Matematica, Università di Pavia, Strada Nuova, 65-27100 Pavia, Italy | C.M.A.F-I.N.I.C. and University of Lisbon, Av. Prof Gama Pinto, 2-1699 Lisboa Codex, Portugal
Note: [] This work has been done in the exchange framework between the Istituto di Analisi Numerica of C.N.R. in Pavia, Italy and the Centro de Matemática e Aplicações Fundamentais of I.N.I.C. in Lisboa, Portugal.
Abstract: We study the asymptotic behaviour of the diffusion-transmission problem in a fixed domain surrounded by a layer whose thickness of order δ goes to zero and where the specific heat σ goes to infinity. We characterize essentially three limit cases according to the limit α of the product δσ: if α=0 or α=∞, we have a Neumann or a Dirichlet boundary condition respectively, while if 0<α<∞, we obtain a mixed boundary condition involving the trace of the time derivative. We also extend this result to a class of unilateral problems of Signorini type.
DOI: 10.3233/ASY-1990-3304
Journal: Asymptotic Analysis, vol. 3, no. 3, pp. 249-263, 1990
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