Nandakumaran, AK and Sili, Ali (2016) HOMOGENIZATION OF A HYPERBOLIC EQUATION WITH HIGHLY CONTRASTING DIFFUSIVITY COEFFICIENTS. In: DIFFERENTIAL AND INTEGRAL EQUATIONS, 29 (1-2). pp. 37-54.
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We study a hyperbolic problem in the framework of periodic homogenization assuming a high contrast between the diffusivity coefficients of the two components M-epsilon and B-epsilon of the heterogeneous medium. There are three regimes depending on the ratio between the size of the period and the amplitude a, of the diffusivity in B-epsilon. For the critical regime alpha(epsilon) similar or equal to epsilon, the limit problem is a strongly coupled system involving both the macroscopic and the microscopic variables. We also include the results in the non critical case.
| Item Type: | Journal Article |
|---|---|
| Publication: | DIFFERENTIAL AND INTEGRAL EQUATIONS |
| Publisher: | KHAYYAM PUBL CO INC |
| Additional Information: | Copy right for this article belongs to the KHAYYAM PUBL CO INC, PO BOX 429, ATHENS, OH 45701 USA |
| Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
| Date Deposited: | 26 Mar 2016 05:20 |
| Last Modified: | 26 Mar 2016 05:20 |
| URI: | http://eprints.iisc.ac.in/id/eprint/53413 |
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