MARC details
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02427nam a2200253 i 4500 |
| 003 - CONTROL NUMBER IDENTIFIER |
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CHED |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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20250130155543.0 |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
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ta |
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250130e2018 ph ||||| |||| 00| 0 eng d |
| 040 ## - CATALOGING SOURCE |
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| Transcribing agency |
Commission on Higher Education |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Gemida, Eleanor Bañanola |
| 245 00 - TITLE STATEMENT |
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| Title |
Homogenization of an eigenvalue problem in a two-component domain with an interfacial barrier |
| Statement of responsibility, etc. |
/ Eleanor Bañanola Gemida |
| 260 3# - PUBLICATION, DISTRIBUTION, ETC. |
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| Place of publication, distribution, etc. |
Los Baños |
| Name of publisher, distributor, etc. |
: University of the Philippines Los Baños |
| Date of publication, distribution, etc. |
,2018. |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
x,115 leaves |
| Dimensions |
27 x 21cm. |
| 500 ## - GENERAL NOTE |
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| General note |
Thesis (Master of Science in Mathematics) -- University of the Philippines Los Baños, June 2018. |
| 520 3# - SUMMARY, ETC. |
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| Summary, etc. |
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<br/> <br/>A-Vu~nf, =-AVu5n5<br/> A-Vu;nf, =-eh(f- u5)<br/> uf= 0<br/> in Di,<br/> in 05<br/> on re,<br/> on f",<br/> on 8D,<br/> where € R and n; is the unitary outward normal to n:, i = 1, 2. (1)<br/><br/> 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<br/> 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 10 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
Homogenization (Mathematics) |
| 650 20 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
Eigenvalues |
| 650 20 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
Differential equations |
| General subdivision |
Numerical solutions |
| 650 20 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
Interfacial phenomena |
| General subdivision |
Mathematical models |
| 856 40 - ELECTRONIC LOCATION AND ACCESS |
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| Uniform Resource Identifier |
<a href="http://181.215.242.151/cgi-bin/koha/opac-retrieve-file.pl?id=d1d1b8de857d29ee2afd0483919d3228">http://181.215.242.151/cgi-bin/koha/opac-retrieve-file.pl?id=d1d1b8de857d29ee2afd0483919d3228</a> |
| Public note |
Abstract |
| 856 40 - ELECTRONIC LOCATION AND ACCESS |
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| Uniform Resource Identifier |
<a href="http://181.215.242.151/cgi-bin/koha/opac-retrieve-file.pl?id=b31357bff959d4784849f6c6e992c84d">http://181.215.242.151/cgi-bin/koha/opac-retrieve-file.pl?id=b31357bff959d4784849f6c6e992c84d</a> |
| Public note |
Table of Contents |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Source of classification or shelving scheme |
Library of Congress Classification |
| Koha item type |
CHED Funded Research |
| Suppress in OPAC |
No |
