原子费米气体附近BCS-BEC过渡区Ginzburg-Landau方程组稳态解的存在性  

Stationary solutions for a Ginzburg-Landau system with atomic Fermi-gases near the BCS-BEC crossover

作　　者：蓝丽红[1] 金玲玉[1] 

机构地区：[1]华南农业大学数学系,广东广州510642

出　　处：《佛山科学技术学院学报（自然科学版）》2016年第1期35-39,共5页Journal of Foshan University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(11101160,11271141)

摘　　要：研究了费米-玻色模型中Feshbach共振附近费米原子气体超流中所呈现的依赖于时间的Ginzburg-Landau(TDGL)方程组,并得到了该方程组在一定条件下稳态解的存在性及正则性。In this paper, we investigate the time-dependent Ginzburg-Landau(TDGL) equations come from the superfluid atomic Fermi-gases near the Feshbach resonance from the fermion-boson model. We prove the existence of the stationary solution for this system under some conditions. And the exponential decay of the solution is obtained in our paper.

关 键 词：稳态解 GINZBURG-LANDAU方程 山路引理 

分 类 号：O241.8[理学—计算数学]