Compressible Navier–Stokes equations without heat conduction in Lp-framework

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 (SIMA 55(2):1439–1463, 2023), 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 Peng and Zhai (2023), 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.