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
  • [1] An application of the modular function in nonlocal variational problems
    Chen, Xinfu
    Oshita, Yoshihito
    [J]. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2007, 186 (01) : 109 - 132
  • [2] ON SOME NONLOCAL VARIATIONAL PROBLEMS
    Chipot, Michel
    Gangbo, Wilfrid
    Kawohl, Bernd
    [J]. ANALYSIS AND APPLICATIONS, 2006, 4 (04) : 345 - 356
  • [3] Variational properties of nonlocal singular problems
    Canino, Annamaria
    Montoro, Luigi
    Sciunzi, Berardino
    Trombetta, Alessandro
    [J]. NONLINEARITY, 2023, 36 (08) : 4034 - 4052
  • [4] EXISTENCE FOR NONLOCAL VARIATIONAL PROBLEMS IN PERIDYNAMICS
    Bellido, Jose C.
    Mora-Corral, Carlos
    [J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2014, 46 (01) : 890 - 916
  • [5] On a class of variational problems with nonlocal integrant
    Maksimov, Vladimir P.
    [J]. GEORGIAN MATHEMATICAL JOURNAL, 2017, 24 (01) : 97 - 101
  • [6] NONLOCAL PROBLEMS WITH LOCAL BOUNDARY CONDITIONS I: FUNCTION SPACES AND VARIATIONAL PRINCIPLES
    Scott, James m.
    Du, Qiang
    [J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2024, 56 (03) : 4185 - 4222
  • [7] On the multiplicity of solutions of two nonlocal variational problems
    Ren, XF
    Wei, JC
    [J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2000, 31 (04) : 909 - 924
  • [8] Variational Evolution Problems and Nonlocal Geometric Motion
    Mikhail Feldman
    [J]. Archive for Rational Mechanics and Analysis, 1999, 146 : 221 - 274
  • [9] Variational theory and domain decomposition for nonlocal problems
    Aksoylu, Burak
    Parks, Michael L.
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (14) : 6498 - 6515
  • [10] Symmetry of minimizers for some nonlocal variational problems
    Lopes, Orlando
    Maris, Mihai
    [J]. JOURNAL OF FUNCTIONAL ANALYSIS, 2008, 254 (02) : 535 - 592
12345