Weak solutions of the compressible isentropic Navier-Stokes equations Original Research Article

This note is devoted to some properties of weak solutions to the compressible isentropic Navier-Stokes equations in dimension 2 or 3. First, the restrictions on the pressure growth for the known global existence and stability results are illustrated through explicit radial solutions. On the other hand, an improved global time regularity is derived for the momentum.