An application of the modular function in nonlocal variational problems

Xinfu Chen, Yoshihito Oshita

Research output: Contribution to journalArticle

27 Citations (Scopus)

Abstract

Using the modular function and its invariance under the action of a modular group and an heuristic reduction of a mathematical model, we present a mathematical account of a hexagonal pattern selection observed in di-block copolymer melts.

Original languageEnglish
Pages (from-to)109-132
Number of pages24
JournalArchive for Rational Mechanics and Analysis
Volume186
Issue number1
DOIs
Publication statusPublished - Oct 2007

Fingerprint

Block Copolymers
Modular Functions
Nonlocal Problems
Modular Group
Invariance
Variational Problem
Hexagon
Block copolymers
Heuristics
Mathematical Model
Mathematical models

ASJC Scopus subject areas

  • Mechanics of Materials
  • Computational Mechanics
  • Mathematics(all)
  • Mathematics (miscellaneous)

Cite this

An application of the modular function in nonlocal variational problems. / Chen, Xinfu; Oshita, Yoshihito.

In: Archive for Rational Mechanics and Analysis, Vol. 186, No. 1, 10.2007, p. 109-132.

Research output: Contribution to journalArticle

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