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We consider the homogenization of a time-dependent heat transfer problem in a highly heteregeneous periodic medium made of two connected components having finite heat capacities c α (x) and heat conductivities a α (x), α = 1, 2, of order one, separated by a third material with thickness of order ε the size of the basic periodicity cell, but with conductivity λa 3 (x) where a 3 = O(1) and λ tends to zero with ε. Assuming only that c i (x) 0 a.e., such that the problem can degenerate (parabolicelliptic), we identify the homogenized problem following the values of δ = lim ε→0 ε 2 /λ.

Behçet's disease (BD) is a multisystem vascular inflammatory disease with several clinical manifestations. Intracranial aneurysms are an extremely rare but nevertheless severe complication of BD. We report a case of a 44-year-old man. The diagnosis of BD was made based on the presence of recurrent oral aphthous ulcers and positive human leukocyte antigen (HLA-) B51 in the absence of evidence of other diseases. MRI showed an ancient ischemic right capsulolenticular lesion, subacute white matter hypersignals of the left capsule lenticular region, and multiple arterial aneurysms. The patient underwent two-month systemic high-dose corticosteroids and immunosuppressive therapy associated with severe neurological deficiency upon admission and severe impairment upon discharge. A thorough review of the literature showed 20 case reports of intracranial aneurysms in BD.