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Research Article

Upscaling of a diffusion problem with flux jump in high contrast composites

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Received 10 Oct 2023, Accepted 02 Dec 2023, Published online: 07 Dec 2023
 

Abstract

We study a diffusion problem in a periodic fibered composite consisting of two materials with highly contrasting diffusion coefficients. An important feature of our problem is the existence of an imperfect interface between the two phases of the composite medium, characterized by the continuity of the solution and the presence of a jump flux. By applying suitable homogenization techniques, we get the limit problems corresponding to two different choices for the flux jump.

AMS subject classification::

Aknowledgement

The authors are very grateful to the anonymous referees for their remarks.

Disclosure statement

No potential conflict of interest was reported by the author(s).

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