Stability of stationary solutions to the compressible bipolar Euler-Poisson equations
Stability of stationary solutions to the compressible bipolar Euler-Poisson equations
In this paper, we study the compressible bipolar Euler-Poisson equations with a non-flat doping profile in three-dimensional space. The existence and uniqueness of the non-constant stationary solutions are established under the smallness assumption on the gradient of the doping profile. Then we show the global existence of smooth solutions to …