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.
基金
Supported by the National Natural Science Foundation of China(11471103)
