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Existence, uniqueness and concentration for a system of PDEs involving the Laplace–Beltrami operator

Existence, uniqueness and concentration for a system of PDEs involving the Laplace–Beltrami operator

In this paper we derive a model for heat diffusion in a composite medium in which the different components are separated by thermally active interfaces. The previous result is obtained via a concentrated capacity procedure and leads to a non-standard system of PDEs involving a Laplace–Beltrami operator acting on the …