We study the global strong solutions to the compressible Navier-Stokes system
with potential temperature transport in Rn. Different from the
Navier-Stokes-Fourier system, the pressure is a nonlinear function of the
density and the potential temperature, we can not exploit the special
quasi-diagonalization structure of this system to capture any dissipation of
the density. Some new idea and delicate analysis involved in high or low
frequency decomposition in the Besov spaces have to be made to close the energy
estimates.Comment: 12page