Global existence results for the incompressible density dependent Navier-Stokes equations in the whole space. (English) Zbl 0902.76027

Desjardins, B.

Differ. Integral Equ. 10, No. 3, 587-598 (1997).

Summary: Global existence results for weak solutions of the so-called incompressible density-dependent Navier-Stokes equations are proven in the whole space \(\mathbb{R}^N\) \((N\geq 2)\). In this note, the initial density is not required to be bounded from below by a positive constant and the viscosity may be a function of the density.

MSC:

76D05	Navier-Stokes equations for incompressible viscous fluids
35Q30	Navier-Stokes equations

Keywords:

viscosity