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Nechvátal, Luděk

Alternative approaches to the two-scale convergence. (English) Zbl 1099.35012

Appl. Math., Praha 49, No. 2, 97-110 (2004).
Summary: Two-scale convergence is a special weak convergence used in homogenization theory. Besides the original definition by G. Nguetseng and G. Allaire two alternative definitions are introduced and compared. They enable us to weaken requirements on the admissibility of test functions \(\psi (x,y)\). Properties and examples are added.

Cited in 1 Review
Cited in 5 Documents

MSC:

35B27 Homogenization in context of PDEs; PDEs in media with periodic structure
74Q05 Homogenization in equilibrium problems of solid mechanics
76M50 Homogenization applied to problems in fluid mechanics

Keywords:

two-scale convergence; weak convergence; homogenization
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\textit{L. Nechvátal}, Appl. Math., Praha 49, No. 2, 97--110 (2004; Zbl 1099.35012)
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References:

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