| Title:
|
Some remarks on two-scale convergence and periodic unfolding (English) |
| Author:
|
Franců, Jan |
| Author:
|
Svanstedt, Nils E M |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
57 |
| Issue:
|
4 |
| Year:
|
2012 |
| Pages:
|
359-375 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The paper discusses some aspects of the adjoint definition of two-scale convergence based on periodic unfolding. As is known this approach removes problems concerning choice of the appropriate space for admissible test functions. The paper proposes a modified unfolding which conserves integral of the unfolded function and hence simplifies the proofs and its application in homogenization theory. The article provides also a self-contained introduction to two-scale convergence and gives ideas for generalization to non-periodic homogenization. (English) |
| Keyword:
|
two-scale convergence |
| Keyword:
|
unfolding |
| Keyword:
|
homogenization |
| MSC:
|
35B27 |
| MSC:
|
35C20 |
| MSC:
|
35J25 |
| idZBL:
|
Zbl 1265.35017 |
| idMR:
|
MR2984608 |
| DOI:
|
10.1007/s10492-012-0021-z |
| . |
| Date available:
|
2012-08-19T21:43:48Z |
| Last updated:
|
2020-07-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/142904 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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