Global weak solutions to 3D compressible Navier-Stokes-Poisson equations with density-dependent viscosity

Abstract

Global-in-time weak solutions to the Compressible Navier-Stokes-Poisson equations in a three-dimensional torus for large data are considered in this paper. The system takes into account density-dependent viscosity and non-monotone presseur. We prove the existence of global weak solutions to NSP equations with damping term by using the Faedo-Galerkin method and the compactness arguments on the condition that the adiabatic constant satisfies $\gamma >\frac{4}{3}$.

References in corpus (3)

• Existence of Global Weak Solutions for 3D Degenerate Compressible Navier-Stokes Equations
• Global Existence of Weak Solutions to the Barotropic Compressible Navier-Stokes Flows with Degenerate Viscosities
• Global weak solutions to compressible quantum Navier-Stokes equations with damping