Detail publikace

Some remarks on two-scale convergence and periodic unfolding

FRANCŮ, J. SVANSTEDT, N.

Originální název

Some remarks on two-scale convergence and periodic unfolding

Typ

článek v časopise - ostatní, Jost

Jazyk

angličtina

Originální abstrakt

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.

Klíčová slova

two-scale convergence, unfolding, homogenization

Autoři

FRANCŮ, J.; SVANSTEDT, N.

Rok RIV

2012

Vydáno

15. 7. 2012

Nakladatel

Matematický ústav AVČR

Místo

Praha

ISSN

0373-6725

Periodikum

Application of Mathematics

Ročník

57

Číslo

4

Stát

Česká republika

Strany od

359

Strany do

375

Strany počet

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"
}