Global Existence for Compressible Euler Equations with Damping in Partial Space-Period Domains

In this paper, we are concerned with the global existence of solutions to isentropic compressible Euler equations with damping in partial space-period domains. Based on the uniform energy estimates, we obtain the global existence for any spatial dimension if the initial data is sufficiently close to an equilibrium. Simultaneously, we show that the vorticity and its derivatives decay exponentially to zero in two and three dimensions.