Large time behavior for the fractional Ginzburg-Landau equations near the BCS-BEC crossover regime of Fermi gases
作者: Lang LiLingyu JinShaomei Fang
作者单位: 1Department of Mathematics, South China Agricultural University
刊名: Boundary Value Problems, 2017, Vol.2017 (1), pp.1-16
来源数据库: Springer Journal
DOI: 10.1186/s13661-016-0738-9
关键词: fractional Ginzburg-Landau equationsglobal attractorsweak solution
英文摘要: Abstract(#br)In this paper, we consider the fractional Ginzburg-Landau equations near the Bardeen-Cooper-Schrieffer-Bose-Einstein-condensate (BCS-BEC) crossover of atomic Fermi gases. This fractional Ginzburg-Landau equations can be viewed as a generalization of the integral differential equations proposed by Machida and Koyama (Phys. Rev. A 74:033603, 2006 ). By using the Galerkin method and a priori estimates, together with the properties of Sobolev spaces, we first establish the existence and uniqueness of weak solutions to these equations and then we prove the existence of global attractors.
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影响因子:0.922 (2012)

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关键词翻译
关键词翻译
  • crossover 交叉
  • fractional 分级的
  • regime 状况
  • Landau 兰多牌汽车
  • BEC Bay Electric Company
  • gases 气体
  • behavior 行为
  • BCS Basic Catalog Structure