The Global Attractors for the Navier-stokes Equations with Nonlinear Perturbation in R^2  

带有非线性项不可压Navier-Stokes方程整体性吸引子的存在性

作　　者：ZHENG Zhi-bo ZHANG Li-ping HAO Xiao-hong LIU Guo-qi SUN Jiang-jie 郑治波;张利萍;郝晓红;刘国旗;孙江洁(Department of Mathematics,Banshan University,Baoshan,Yunnan 678000,P.R.China;Students'Affairs Division,Anhui Medical University,Hefei 230601,China;WenZheng College Of Soochow University,215104,China;School of Health Management,Anhui Medical University 230032,China)

机构地区：[1]Department of Mathematics,Banshan University,Baoshan,Yunnan 678000,P.R.China [2]Students'Affairs Division,Anhui Medical University,Hefei 230601,China [3]WenZheng College Of Soochow University,215104,China [4]School of Health Management,Anhui Medical University 230032,China

出　　处：《Chinese Quarterly Journal of Mathematics》2020年第1期93-110,共18页数学季刊（英文版）

基　　金：Project supported by the Baoshan College focuses on cultivating disciplines of China(Conservative government[2016]No.91);The work was supported in part by the Joint Special Foundation on basic research in Local Colleges and Universities for the Department of Science and Technology of Yunnan Province of China under Grant No.2017FH001-106;the Natural Science Foundation of Anhui Province of China(1908085MG233);Quality Engineering for Research Projects of the Anhui Department of Education about Wisdom Classroom(2018zhktl80);Natural Science Foundation for the Higher Education Institutions of Anhui Province of China(KJ2019A0945).The authors would like to thank all the individuals in China who offered their time and energy to participate in the investigates。

摘　　要：This paper is concerned with the Navier-stokes equations with nonlinear perturbation in R^2,which studies the existence of solution,and gets the existence of the attractors.Finally,we discuss with limit-behavior of the Navier-stokes equation4 with nonlinear per-turbation,asα→0.

关 键 词：The NAVIER-STOKES equations with nonlinear perturbation solution MAXIMAL ATTRACTOR limit-behavior 

分 类 号：O175.29[理学—数学]