(1+1)维Maxwell-Chern-Simons-Higgs系统解的整体存在性  

Global existence of Maxwell-Chern-Simons-Higgs system

作　　者：周羽 金艳 ZHOU Yu;JIN Yan(College of Science,Yanbian University,Yanji 133002,China)

机构地区：[1]延边大学理学院,吉林延吉133002

出　　处：《延边大学学报（自然科学版）》2023年第1期16-20,共5页Journal of Yanbian University（Natural Science Edition）

摘　　要：通过降维(1+2)维Maxwell-Chern-Simons-Higgs系统得到了(1+1)维Maxwell-Chern-Simons-Higgs系统,并在Lorenz规范条件下研究了(1+1)维Maxwell-Chern-Simons-Higgs系统解的整体存在性.应用Sobolev空间相关理论,证明了(1+1)维Maxwell-Chern-Simons-Higgs系统的解在H^(2)×H^(1)上具有整体存在性,同时还验证了该系统所对应的能量函数是守恒的.The(1+1)-dimensional Maxwell-Chern-Simons-Higgs system is obtained by reducing the(1+2)-dimensional Maxwell-Chern-Simons-Higgs system,and the global existence of solutions of(1+1)-dimen-sional Maxwell-Chern-Simons-Higgs system is studied under Lorenz gauge condition.Applying the relevant theory of Sobolev space,it is proved that the solution of the(1+1)-dimensional Maxwell-Chern-Simons-Higgs system has global existence in H^(2)×H^(1).Verfication indicate that the corresponding energy function of the system is conservative.

关 键 词：Maxwell-Chern-Simons-Higgs系统 规范不变性 降维模型 整体解 

分 类 号：O175.29[理学—数学]