Local Existence of Solution to the Incompressible Oldroyd Model Equations  

不可压缩Oldroyd方程局部解的存在性（英文）

作　　者：LIU Yun YUAN Bao-quan 

机构地区：[1]School of Mathematics and Information Science, Henan Polytechnic University, Henan, 454000, China

出　　处：《Chinese Quarterly Journal of Mathematics》2017年第4期331-344,共14页数学季刊（英文版）

基　　金：Supported by the National Natural Science Foundation of China(11471103)

摘　　要：This paper investigates the local-in-time existence and uniqueness of strong solutions in H^s for s >n/2 to the incompressible Oldroyd model equations in R^n, n = 2, 3.The result reads: if u_0, F_0∈ H^s(R^n) with s >n/2, then there exists a unique strong solution u, F ∈ C([0, T]; H^s(R^n)), where T = T(‖u_0‖_H^s, ‖F_0‖_H^s) is the local existence time.

关 键 词：INCOMPRESSIBLE OLDROYD model LOCAL WELL-POSEDNESS Friedrichs' method 

分 类 号：O175.29[理学—数学]