摘要 : This paper is dedicated to the global well-posedness issue of the incompressible Oldroyd-B model in the whole space R~d with d ≥ 2. It is shown that this set of equations admits a unique global solution in a certain critical L p-t... 展开 This paper is dedicated to the global well-posedness issue of the incompressible Oldroyd-B model in the whole space R~d with d ≥ 2. It is shown that this set of equations admits a unique global solution in a certain critical L p-type Besov space provided that the initial data, but not necessarily the coupling parameter, is small enough. As a consequence, even through the coupling effect between the equations of velocity u and the symmetric tensor of constrains τ is not small, one may construct the unique global solution to the Oldroyd-Bmodel for a class of large highly oscillating initial velocity. The proof relies on the estimates of the linearized systems of (u, τ) and (u, Pdivτ) which may be of interest for future works. This result extends thework by Chemin and Masmoudi (SIAM J Math Anal 33:84-112, 2001) to the non-small coupling parameter case. 收起