Analytical Solutions to the Navier-Stokes Equations with Density-dependent Viscosity and with Pressure

Abstract

This article is the continued version of the analytical solutions for the pressureless Navier-Stokes equations with density-dependent viscosity in "M.W. Yuen, Analyitcal Solutions to the Navier-Stokes Equations, J. Math. Phys., 49 (2008) No. 11, 113102, 10pp". We are able to extend the similar solutions structure to the case with pressure under some restriction for $\gamma$ and $\theta$.