Abstract
This paper focuses on the Cauchy problem of the d-dimensional incompressible Oldroyd-B type models for viscoelastic flow with fractional Laplacian dissipation, namely, with (−Δ)η1u and (−Δ)η2τ. For η1≥12+d4, η2>0 and η1+η2≥1+d2, we obtain the global regularity of strong solutions when the initial data (u0,τ0) are sufficiently smooth.
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