Archive for Rational Mechanics and Analysis

, Volume 186, Issue 1, pp 109-132

First online:

An Application of the Modular Function in Nonlocal Variational Problems

  • Xinfu ChenAffiliated withDepartment of Mathematics, University of Pittsburgh
  • , Yoshihito OshitaAffiliated withGraduate School of Mathematical Sciences, University of TokyoGraduate School of Natural Science and Technology, Okayama University Email author 

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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.