Asymptotic Behaviour of the Energy Integral of a Two-Parameter Homogenization Problem with Nonlinear Periodic Robin Boundary Conditions
2019 ◽
Vol 62
(4)
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pp. 985-1016
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Keyword(s):
AbstractWe consider a nonlinear Robin problem for the Poisson equation in an unbounded periodically perforated domain. The domain has a periodic structure, and the size of each cell is determined by a positive parameter δ. The relative size of each periodic perforation is determined by a positive parameter ε. Under suitable assumptions, such a problem admits a family of solutions which depends on ε and δ. We analyse the behaviour the energy integral of such a family as (ε, δ) tends to (0, 0) by an approach that represents an alternative to asymptotic expansions and classical homogenization theory.
2017 ◽
Vol 31
(1)
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pp. 63-110
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Keyword(s):
2018 ◽
Vol 291
(8-9)
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pp. 1310-1341
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Keyword(s):
Keyword(s):
2009 ◽
Vol 139
(1)
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pp. 157-181
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2017 ◽
Vol 21
(6)
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pp. 135-140
2011 ◽
Vol 21
(05)
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pp. 1153-1192
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2019 ◽
Vol 357
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pp. 319-328
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