000			02427nam a2200253 i 4500
003			CHED
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008			250130e2018 ph ||||| |||| 00| 0 eng d
040			_cCommission on Higher Education
100	1		_aGemida, Eleanor Bañanola
245	0	0	_aHomogenization of an eigenvalue problem in a two-component domain with an interfacial barrier _c / Eleanor Bañanola Gemida
260	3		_aLos Baños _b : University of the Philippines Los Baños _c,2018.
300			_ax,115 leaves _c27 x 21cm.
500			_aThesis (Master of Science in Mathematics) -- University of the Philippines Los Baños, June 2018.
520	3		_aThe 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 <I, the " eigenvalue of (1) converges to the €11 ' eigenvalue of the limit problem, for the whole sequence. The same convergence result is obtained for the corresponding eigenvectors, for a subsequence only. The convergence for the whole sequence is achieved when the associated eigenvalue is simple. For the Case ) = l, we only have convergence results up to a subsequence
650	1	0	_aHomogenization (Mathematics)
650	2	0	_aEigenvalues
650	2	0	_aDifferential equations _xNumerical solutions
650	2	0	_aInterfacial phenomena _xMathematical models
856	4	0	_uhttp://181.215.242.151/cgi-bin/koha/opac-retrieve-file.pl?id=d1d1b8de857d29ee2afd0483919d3228 _zAbstract
856	4	0	_uhttp://181.215.242.151/cgi-bin/koha/opac-retrieve-file.pl?id=b31357bff959d4784849f6c6e992c84d _zTable of Contents
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