Alternative approaches to the two-scale convergence

Luděk Nechvátal

Applications of Mathematics (2004)

  • Volume: 49, Issue: 2, page 97-110
  • ISSN: 0862-7940

Abstract

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Two-scale convergence is a special weak convergence used in homogenization theory. Besides the original definition by Nguetseng and Allaire two alternative definitions are introduced and compared. They enable us to weaken requirements on the admissibility of test functions ψ ( x , y ) . Properties and examples are added.

How to cite

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Nechvátal, Luděk. "Alternative approaches to the two-scale convergence." Applications of Mathematics 49.2 (2004): 97-110. <http://eudml.org/doc/33177>.

@article{Nechvátal2004,
abstract = {Two-scale convergence is a special weak convergence used in homogenization theory. Besides the original definition by Nguetseng and 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.},
author = {Nechvátal, Luděk},
journal = {Applications of Mathematics},
keywords = {two-scale convergence; weak convergence; homogenization; two-scale convergence; weak convergence; homogenization},
language = {eng},
number = {2},
pages = {97-110},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Alternative approaches to the two-scale convergence},
url = {http://eudml.org/doc/33177},
volume = {49},
year = {2004},
}

TY - JOUR
AU - Nechvátal, Luděk
TI - Alternative approaches to the two-scale convergence
JO - Applications of Mathematics
PY - 2004
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 49
IS - 2
SP - 97
EP - 110
AB - Two-scale convergence is a special weak convergence used in homogenization theory. Besides the original definition by Nguetseng and 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.
LA - eng
KW - two-scale convergence; weak convergence; homogenization; two-scale convergence; weak convergence; homogenization
UR - http://eudml.org/doc/33177
ER -

References

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Citations in EuDML Documents

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  1. Jan Franců, Modification of unfolding approach to two-scale convergence
  2. Luděk Nechvátal, Homogenization with uncertain input parameters
  3. Anders Holmbom, Jeanette Silfver, Nils Svanstedt, Niklas Wellander, On two-scale convergence and related sequential compactness topics
  4. Jeanette Silfver, On general two-scale convergence and its application to the characterization of G -limits
  5. Jan Franců, Nils E M Svanstedt, Some remarks on two-scale convergence and periodic unfolding

NotesEmbed ?

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