TY - BOOK AU - Gemida,Eleanor Bañanola TI - Homogenization of an eigenvalue problem in a two-component domain with an interfacial barrier PY - 2018/// CY - Los Baños PB - : University of the Philippines Los Baños KW - Homogenization (Mathematics) KW - Eigenvalues KW - Differential equations KW - Numerical solutions KW - Interfacial phenomena KW - Mathematical models N1 - Thesis (Master of Science in Mathematics) -- University of the Philippines Los Baños, June 2018 N2 - The study deals with the homogenization of a stationary elliptic eigenvalue problem with oscillating coefficients in a domain n C !RN which is the union of two subdomains ni and 02, separated by an interface T-. The component l5 is the union of the disjoint e-periodic translated sets sl, where Y lies in the reference cell Y. On the other hand, the component f2t is connected and defined as 0\0,. Mathematically, study the asymptotic behaviour as E ➔ 0 of the problem-div(A-Vu,) = Nu-div(AV,) = Nu5 A-Vu~nf, =-AVu5n5 A-Vu;nf, =-eh(f- u5) uf= 0 in Di, in 05 on re, on f", on 8D, where € R and n; is the unitary outward normal to n:, i = 1, 2. (1) The main goal is to analyze the convergence of the eigenvalues and eigenvectors of the heat; equation described in (1). We obtain characterizations of the eigenvalues and give homogenization results for the case. I using the periodic unfolding method. For