关键词: Incompressible Oldroyd model, local well-posedness, Friedrichs' method

Abstract: 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 Rⁿ, n = 2, 3.The result reads: if u₀, F₀∈ H^s（Rⁿ） with s >n/2, then there exists a unique strong solution u, F ∈ C（[0, T]; H^s（Rⁿ））, where T = T（‖u₀‖H^s, ‖F₀‖H^s） is the local existence time. 

Key words: Incompressible Oldroyd model, local well-posedness, Friedrichs' method