Reiterated homogenization of hyperbolic-parabolic equations in domains with tiny holes
This article studies the homogenization of hyperbolic-parabolic equations in porous media with tiny holes. We assume that the holes are periodically distributed and that the coefficients of the equations are periodic. Using the multi-scale convergence method, we derive a homogenization result wh...
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Texas State University
2017-02-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2017/59/abstr.html |
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doaj-f22fa4870aed448cb2da695fff5aaf192020-11-24T21:06:32ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912017-02-01201759,122Reiterated homogenization of hyperbolic-parabolic equations in domains with tiny holesHermann Douanla0Erick Tetsadjio1 Univ. of Yaounde 1, Yaounde, Cameroon Univ. of Yaounde 1, Yaounde, Cameroon This article studies the homogenization of hyperbolic-parabolic equations in porous media with tiny holes. We assume that the holes are periodically distributed and that the coefficients of the equations are periodic. Using the multi-scale convergence method, we derive a homogenization result whose limit problem is defined on a fixed domain and is of the same type as the problem with oscillating coefficients.http://ejde.math.txstate.edu/Volumes/2017/59/abstr.htmlHyperbolic-parabolic equationperforated domaintiny holesmulti-scale convergence |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Hermann Douanla Erick Tetsadjio |
| spellingShingle |
Hermann Douanla Erick Tetsadjio Reiterated homogenization of hyperbolic-parabolic equations in domains with tiny holes Electronic Journal of Differential Equations Hyperbolic-parabolic equation perforated domain tiny holes multi-scale convergence |
| author_facet |
Hermann Douanla Erick Tetsadjio |
| author_sort |
Hermann Douanla |
| title |
Reiterated homogenization of hyperbolic-parabolic equations in domains with tiny holes |
| title_short |
Reiterated homogenization of hyperbolic-parabolic equations in domains with tiny holes |
| title_full |
Reiterated homogenization of hyperbolic-parabolic equations in domains with tiny holes |
| title_fullStr |
Reiterated homogenization of hyperbolic-parabolic equations in domains with tiny holes |
| title_full_unstemmed |
Reiterated homogenization of hyperbolic-parabolic equations in domains with tiny holes |
| title_sort |
reiterated homogenization of hyperbolic-parabolic equations in domains with tiny holes |
| publisher |
Texas State University |
| series |
Electronic Journal of Differential Equations |
| issn |
1072-6691 |
| publishDate |
2017-02-01 |
| description |
This article studies the homogenization of hyperbolic-parabolic equations
in porous media with tiny holes. We assume that the holes are periodically
distributed and that the coefficients of the equations are periodic.
Using the multi-scale convergence method, we derive a homogenization result
whose limit problem is defined on a fixed domain and is of the same type as
the problem with oscillating coefficients. |
| topic |
Hyperbolic-parabolic equation perforated domain tiny holes multi-scale convergence |
| url |
http://ejde.math.txstate.edu/Volumes/2017/59/abstr.html |
| work_keys_str_mv |
AT hermanndouanla reiteratedhomogenizationofhyperbolicparabolicequationsindomainswithtinyholes AT ericktetsadjio reiteratedhomogenizationofhyperbolicparabolicequationsindomainswithtinyholes |
| _version_ |
1716765604059283456 |