| Title:
|
Homogenization of quadratic complementary energies: a duality example (English) |
| Author:
|
Serrano, Hélia |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
136 |
| Issue:
|
2 |
| Year:
|
2011 |
| Pages:
|
165-173 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We study an example in two dimensions of a sequence of quadratic functionals whose limit energy density, in the sense of $\Gamma $-convergence, may be characterized as the dual function of the limit energy density of the sequence of their dual functionals. In this special case, $\Gamma $-convergence is indeed stable under the dual operator. If we perturb such quadratic functionals with linear terms this statement is no longer true. (English) |
| Keyword:
|
$\Gamma $-convergence |
| Keyword:
|
oscillatory behaviour |
| Keyword:
|
Young measure |
| Keyword:
|
conjugate functional |
| MSC:
|
35B27 |
| MSC:
|
35J20 |
| idZBL:
|
Zbl 1224.35025 |
| idMR:
|
MR2856133 |
| DOI:
|
10.21136/MB.2011.141579 |
| . |
| Date available:
|
2011-06-07T11:29:21Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/141579 |
| . |
| 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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| 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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| Reference:
|
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| . |
