  In this paper, we mainly consider global well-posedness and long time
behavior of compressible Navier-Stokes equations without heat conduction in
$L^p$-framework. This is a generalization of Peng and Zhai \cite{peng}(SIMA,
55(2023), no.2, 1439-1463), where they obtained the corresponding result in
$L^2$-framework. Based on the key observation that we can release the
regularity of non-dissipative entropy $S$ in high frequency in \cite{peng}, we
ultimately achieve the desired $L^p$ estimate in the high frequency via
complicated calculations on the nonlinear terms. In addition, we get the
$L^p$-decay rate of the solution.
