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*ill-prepared*initial data) in a refined way as the scaled electron-mass tends to zero. In comparison with the classical zero-mach-number limit in [7,23], we obtain different dispersive estimates due to the coupled electric field.

*weakens*the regularity requirement of the initial data and improves some known results in Sobolev space.

In this paper, we are concerned with the compressible viscoelastic flows in whole space $ \mathbb{R}^n $ with $ n\geq2 $. We aim at extending the global existence in energy spaces (see [*large highly oscillating* initial velocity. Precisely, We define "*two effective velocities*" which are used to eliminate the coupling between the density, velocity and deformation tensor. Consequently, the global existence in the $ L^p $ critical framework is constructed by elementary energy approaches. In addition, the optimal time-decay estimates of strong solutions are firstly shown in the $ L^p $ framework, which improve recent decay efforts for compressible viscoelastic flows.

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