An Application of the Modular Function in Nonlocal Variational Problems

被引：0
|
作者：
Xinfu Chen
Yoshihito Oshita
机构：
[1] University of Pittsburgh,Department of Mathematics
[2] University of Tokyo,Graduate School of Mathematical Sciences
[3] Okayama University,Graduate School of Natural Science and Technology
来源：
Archive for Rational Mechanics and Analysis | 2007年 / 186卷
关键词：
Elliptic Curf; Diblock Copolymer; Hexagonal Lattice; Modular Function; Modular Group;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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.
引用
收藏
页码：109 / 132
页数：23
相关论文
共 50 条
  • [31] APPLICATION OF VARIATIONAL PRINCIPLES TO SCATTERING PROBLEMS
    MOSES, HE
    [J]. PHYSICAL REVIEW, 1954, 96 (02): : 519 - 522
  • [32] NONLOCAL FINITE DIMENSIONAL REDUCTIONS IN VARIATIONAL BOUNDARY-VALUE-PROBLEMS
    SAPRONOV, YI
    [J]. MATHEMATICAL NOTES, 1991, 49 (1-2) : 67 - 73
  • [33] Efficient optimization-based quadrature for variational discretization of nonlocal problems
    Pasetto, Marco
    Shen, Zhaoxiang
    D'Elia, Marta
    Tian, Xiaochuan
    Trask, Nathaniel
    Kamensky, David
    [J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2022, 396
  • [34] The Nonlocal Newton Method for Convex Optimization Problems and Monotone Variational Inequalities
    V. M. Panin
    V. V. Skopetskii
    [J]. Cybernetics and Systems Analysis, 2002, 38 (5) : 673 - 690
  • [35] A variational approach for nonlocal problems with variable exponent and nonhomogeneous Neumann conditions
    De Araujo, Anderson L. A.
    Heidarkhani, Shapour
    Afrouzi, Ghasem A.
    Moradi, Shahin
    [J]. ANNALS OF THE UNIVERSITY OF CRAIOVA-MATHEMATICS AND COMPUTER SCIENCE SERIES, 2021, 48 (02): : 206 - 221
  • [36] Continuum Limits of Nonlocal p-Laplacian Variational Problems on Graphs
    Hafiene, Yosra
    Fadili, Jalal M.
    Elmoataz, Abderrahim
    [J]. SIAM JOURNAL ON IMAGING SCIENCES, 2019, 12 (04): : 1772 - 1807
  • [37] Nonlocal variational principles
    Pedregal, P
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1997, 29 (12) : 1379 - 1392
  • [38] Development and application of modular function deployment
    Stadler, C
    Hosnedl, S
    [J]. DESIGN 2002: PROCEEDINGS OF THE 7TH INTERNATIONAL DESIGN CONFERENCE, VOLS 1 AND 2, 2002, : 241 - 246
  • [39] ON A NEW FRACTIONAL SOBOLEV SPACE AND APPLICATIONS TO NONLOCAL VARIATIONAL PROBLEMS WITH VARIABLE EXPONENT
    Bahrouni, Anouar
    Radulescu, Vicentiu D.
    [J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2018, 11 (03): : 379 - 389
  • [40] On the application of FMG to variational approximation of flow problems
    Carré, G
    Dervieux, A
    [J]. INTERNATIONAL JOURNAL OF COMPUTATIONAL FLUID DYNAMICS, 1999, 12 (02) : 99 - 117
12345