Abstract
In this paper, we consider the Cauchy problem of the incompressible viscoelastic hydrodynamic model in dimension three. Firstly, we introduce the appropriate variable transformation, and study the Greens function of the linearized system for the transformed equations.Then, according to the pointwise estimation method of Greens function, combining the expressions of the solutions, we analyze the influence of Riesz operator and obtain the pointwise time-space estimates of the solutions.
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