Solution Theory of Ginzburg-Landau Theory on BCS-BEC Crossover

被引：1
|
作者：
Chen, Shuhong [1 ]
Tan, Zhong [2 ]
机构：
[1] Minnan Normal Univ, Sch Math & Stat, Zhangzhou 363000, Fujian, Peoples R China
[2] Xiamen Univ, Sch Math Sci, Xiamen 361005, Fujian, Peoples R China
来源：
ADVANCES IN MATHEMATICAL PHYSICS | 2014年 / 2014卷
基金：
中国国家自然科学基金;
关键词：
NONLINEAR-WAVE-EQUATIONS; LINEAR SCHRODINGER-EQUATIONS; CLASSICAL-SOLUTIONS; LP-ESTIMATIONS; SUPERCONDUCTIVITY;
D O I：
10.1155/2014/215672
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We establish strong solution theory of time-dependentGinzburg-Landau (TDGL) systems on BCS-BEC crossover. By the properties of Besov, Sobolev spaces, and Fourier functions and the method of bootstrapping argument, we deduce that the global existence of strong solutions to time-dependent Ginzburg-Landau systems on BCS-BEC crossover in various spatial dimensions.
引用
收藏
页数：11
相关论文
共 50 条
  • [1] Solutions of Ginzburg-Landau Theory for Atomic Fermi Gases Near the BCS-BEC Crossover
    Shu-hong CHEN
    Bo-ling GUO
    [J]. Acta Mathematicae Applicatae Sinica, 2015, 31 (03) : 665 - 676
  • [2] Solutions of Ginzburg-Landau theory for atomic Fermi gases near the BCS-BEC crossover
    Shu-hong Chen
    Bo-ling Guo
    [J]. Acta Mathematicae Applicatae Sinica, English Series, 2015, 31 : 665 - 676
  • [3] Solutions of Ginzburg-Landau Theory for Atomic Fermi Gases Near the BCS-BEC Crossover
    Chen, Shu-hong
    Guo, Bo-ling
    [J]. ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2015, 31 (03): : 665 - 676
  • [4] Periodic solutions of Ginzburg-Landau theory for atomic Fermi gases near the BCS-BEC crossover
    Guo, Boling
    Pei, Yitong
    [J]. APPLICABLE ANALYSIS, 2022, 101 (04) : 1199 - 1210
  • [5] Time-dependent Ginzburg-Landau theory for atomic Fermi gases near the BCS-BEC crossover
    Machida, M.
    Koyama, T.
    [J]. PHYSICAL REVIEW A, 2006, 74 (03):
  • [6] Ginzburg-Landau theory of a trapped Fermi gas with a BEC-BCS crossover
    Huang, Kun
    Yu, Zeng-Qiang
    Yin, Lan
    [J]. PHYSICAL REVIEW A, 2009, 79 (05):
  • [7] Reliability of the Ginzburg-Landau Theory in the BCS-BEC Crossover by Including Gaussian Fluctuations for 3D Attractive Fermions
    Pascucci, Filippo
    Perali, Andrea
    Salasnich, Luca
    [J]. CONDENSED MATTER, 2021, 6 (04):
  • [8] Classical solutions of time-dependent Ginzburg-Landau theory for atomic Fermi gases near the BCS-BEC crossover
    Chen, Shuhong
    Guo, Boling
    [J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2011, 251 (06) : 1415 - 1427
  • [9] Ginzburg-Landau expansion in BCS-BEC crossover region of disordered attractive Hubbard model
    Kuchinskii, E. Z.
    Kuleeva, N. A.
    Sadovskii, M. V.
    [J]. LOW TEMPERATURE PHYSICS, 2017, 43 (01) : 17 - 26
  • [10] On the Cauchy Problem of the Ginzburg-Landau Equations for Atomic Fermi Gases Near the BCS-BEC Crossover
    Chen Shuhong
    Guo Boling
    [J]. JOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS, 2009, 22 (03): : 218 - 233
12345