Abstract
In this paper, we investigate the Cauchy problem of the 3D compressible viscoelastic hydrodynamic model. By decomposing the compressible viscoelastic fluid equations, according to Duhamel's principle, we make full use of the decomposition of divergence and curl, and obtain the expression of the corresponding solution. By refined integral calculation and classification discussion, we analyze the interaction of different waves in detail, and finally obtain the pointwise time-space estimates of the solutions.
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