摘要

In this paper, we study the regularity criterion of smooth solution to the Oldroyd model in R-n (n = 2, 3). We obtain a Beale-Kato-Majda-type criterion in terms of vorticity in two and three space dimensions, namely, the solution (u(t, x), F(t,x)) does not develop singularity until t = T provided that del x u is an element of L-1 (0, T; (B-infinity, infinity(0) (R-n)) in the case n = 2, 3.