Monsurrò, Sara Homogenization of a two-component composite with interfacial thermal barrier. (English) Zbl 1052.35022 Adv. Math. Sci. Appl. 13, No. 1, 43-63 (2003). The author studies the homogenization of an elliptic equation with oscillating coefficients in a domain which is the union of two \(\varepsilon\)-periodic sub-domains, separated by an interface. On the interface the author prescribes the continuity of the conormal derivatives and a jump of the solution which is proportional to the conormal derivative by mean of a function of order \(\varepsilon^\gamma\). Different situations are treated separately of the value of \(\gamma\) and they lead to different limit problems. In the case, when \(\gamma < -1\), a classical composite is obtained without barrier resistance, while, when \(\gamma=-1\), the interfacial thermal barrier contributes to the description of the effective thermal conductivity of the homogenized material. Reviewer: Marco Codegone (Torino) Cited in 1 ReviewCited in 48 Documents MSC: 35B27 Homogenization in context of PDEs; PDEs in media with periodic structure 74Q15 Effective constitutive equations in solid mechanics Keywords:homogenization; diffusion equation; thermal barrier; oscillating coefficients; effective thermal conductivity PDFBibTeX XMLCite \textit{S. Monsurrò}, Adv. Math. Sci. Appl. 13, No. 1, 43--63 (2003; Zbl 1052.35022)