# RTG电子

 RTG电子 部门领导 部门职责 院长信箱

 规章制度 课程管理 调停课 教研教改 来华留学生培养 研究生人文教育与学术交流月 线上教学

 实验实践 规章制度 非全日制硕士培养

 规章制度 公告公示 答辩公示 学位证查询

 党建思政 创新创业 学术科技 队伍建设 评奖评优 规章制度

 奖助学金 助学贷款 学籍管理 出国留学

 竞赛实践 就业网 网签系统

 教学管理 专业学位 思想教育 学生管理 学位管理 就业实践

人：温焕尧 教授（华南理工大学）

人：向昭银 教授

We consider the Cauchy problem for  the incompressible Oldroyd-B model in R^3. For the case a=0, global existence results for weak solutions were derived by Lions and Masmoudi, allowing the initial data to be arbitrarily large, whereas it  is not known whether this assertion is true also for a which is not zero. We obtain time decay estimates for weak solutions subject  to arbitrary large data are given for  the case a=0. Furthermore, time-decay estimates are also given for strong solutions for  a which is not zero, however, for small initial data. The decay estimates obtained  are of the form that the k^{th} order derivatives in L^2 decay as (1+t)^{-\fr{3}{4}-\frac{k}{2}} for k=0,1,2 as t goes to infinity.Note that the coupling constant w does  not need to be small. This talk is based on the joint work with Matthias Hieber, and Ruizhao Zi.