Analytical solutions to the Navier–Stokes equations with density-dependent viscosity and with pressure

This article is the continued version of the analytical solutions for the pressureless Navier–Stokes equations with density-dependent viscosity [Yuen, M. W., “Analytical solutions to the Navier-Stokes equations,” J. Math. Phys. 49, 113102 (2008)]. We are able to extend the similar solution structure to the case with pressure under some restriction to the constants γ and θ.