Publication detail

Some remarks on two-scale convergence and periodic unfolding

FRANCŮ, J. SVANSTEDT, N.

Original Title

Some remarks on two-scale convergence and periodic unfolding

Type

journal article - other

Language

English

Original Abstract

The paper discusses some aspects of the adjoint definition of two-scale convergence based on periodic unfolding. As is known this approach removes problems concerning choice of the appropriate space for admissible test functions. The paper proposes a modified unfolding which conserves integral of the unfolded function and hence simplifies the proofs and its application in homogenization theory. The article provides also a self-contained introduction to two-scale convergence and gives ideas for generalization to non-periodic homogenization.

Keywords

two-scale convergence, unfolding, homogenization

Authors

FRANCŮ, J.; SVANSTEDT, N.

RIV year

2012

Released

15. 7. 2012

Publisher

Matematický ústav AVČR

Location

Praha

ISBN

0373-6725

Periodical

Application of Mathematics

Year of study

57

Number

4

State

Czech Republic

Pages from

359

Pages to

375

Pages count

16

BibTex

@article{BUT88496,
  author="Jan {Franců} and Nils E M {Svanstedt}",
  title="Some remarks on two-scale convergence and periodic unfolding",
  journal="Application of Mathematics",
  year="2012",
  volume="57",
  number="4",
  pages="359--375",
  issn="0373-6725"
}