Author Description

The compressible Navier-Stokes-Poisson (called NSP in the sequel for simplicity) system may be used to simulate the transport of charged particles (e.g., electrons and ions) under the influence of the electro-static potential force governed by the self-consisted Poisson equation. From a physical point of view, the motion of the ion-dust plasma, the self-gravitational viscous gaseous stars and the charged particles in semiconductor devices can be governed by the compressible NSP system. There have been a great number of mathematical studies about the compressible unipolar or bipolar NSP systems in different settings since 1990's. This book offers our recently results on the existence, stability and convergence rate toward stationary solutions for the compressible unipolar and bipolar NSP systems in half line, with different gas states at the boundary and far field.