Upscaling of a diffusion problem with interfacial flux jump leading to a modified Barenblatt model | Zendy

Bunoiu Renata | Zendy; Timofte Claudia | Zendy

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Upscaling of a diffusion problem with interfacial flux jump leading to a modified Barenblatt model

Author(s) -

Bunoiu Renata,

Timofte Claudia

Publication year - 2019

Publication title -

zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 51

eISSN - 1521-4001

pISSN - 0044-2267

DOI - 10.1002/zamm.201800018

Subject(s) - homogenization (climate) , jump , flux (metallurgy) , imperfect , statistical physics , diffusion , physics , mechanics , mathematics , thermodynamics , materials science , biodiversity , ecology , linguistics , philosophy , quantum mechanics , metallurgy , biology

In this paper, we study the homogenization of a diffusion problem in a highly heterogeneous composite medium formed by two constituents separated by an imperfect interface, where both the temperature and the flux exhibit jumps. The presence of the flux jump leads to a modified stationary Barenblatt model. Besides, we discuss two different geometrical settings, providing a mathematical justification for a physical phenomenon which is explained by the connectivity properties of the constituents.

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