费米子-玻色子模型中金兹堡-朗道方程组的整体吸引子  

Global attractors of Ginzburg-Landau equations in the Fermion-Boson model

作　　者：熊春燕 陈淑红 XIONG Chunyan;CHEN Shuhong(School of Mathematics and Statistics,Minnan Normal University,Zhangzhou 363000,China)

机构地区：[1]闽南师范大学数学与统计学院

出　　处：《厦门大学学报（自然科学版）》2020年第1期94-100,共7页Journal of Xiamen University：Natural Science

基　　金：国家自然科学基金(11571159)

摘　　要：从费米子-玻色子模型出发,研究超流体玻色-爱因斯坦凝聚(BCS-BEC)跨越中的金兹堡-朗道理论弱解的长时间行为.结合Gronwall不等式及其他形式的不等式,建立适当的先验估计,得到解半群存在有界吸收集,证明了该方程组所生成的解半群的整体吸引子的存在性.Based on the Fermion-Boson model,we have studied longtime behavior of the weak solution of the Ginzburg-Landau theory in Bardeen-Cooper-Schrieffer theory-Bose-Einstein Condensation(BCS-BEC)crossover.Combining Gronwall inequality and other forms of inequalities,we establish a suitable prior estimate,obtain the bounded absorption set of solution semigroups,and further prove the existence of solution semigroups generated by these equations.

关 键 词：费米子-玻色子 金兹堡-朗道理论 GRONWALL不等式 吸收集 整体吸引子 

分 类 号：O175.29[理学—数学]