Publication detail

Alternative approaches to the two-scale convergence

NECHVÁTAL, L.

Czech title

Alternativní přístupy ke dvouškálové konvergenci

English title

Alternative approaches to the two-scale convergence

Type

journal article - other

Language

en

Original 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.

Czech abstract

Dvojškálová konvergence je speciální slabá konvergence používaná v teorii homogenizace. Vedle původní Nguetseng-Allaireovy definice jsou představeny a porovnány dvě nové definice. Ty umožňují zeslabit požadavky na "přípustnost" testovací fukce $\psi(x;y)$. Článek obsahuje vybrané vlastnosti doplněné příklady.

English 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.

Keywords in English

two-scale convergence, weak convergence, homogenization

RIV year

2004

Released

25.03.2004

ISSN

0862-7940

Journal

APPLICATIONS OF MATHEMATICS

Volume

49

Number

2

Pages count

14

BIBTEX


@article{BUT46501,
  author="Luděk {Nechvátal},
  title="Alternative approaches to the two-scale convergence",
  journal="APPLICATIONS OF MATHEMATICS",
  year="2004",
  volume="49",
  number="2",
  month="March",
  issn="0862-7940"
}