刘进静教授, 云南大学

We consider the existence, uniqueness and nonlinear stability of the travelling wave solution of the Navier-Stokes-Poisson system with density-dependent viscosity for ions. Firstly, we derive a system (Navier-Stokes-Poisson system for ions) from a bipolar Navier-Stokes-Poisson system with $\gamma$-law pressure and density-dependent viscosity. Secondly, we establish the existence and uniqueness of the traveling wave solution by Center Manifold Theorem for the system. Finally, we prove that the travelling wave solution is asymptotically stable for small initial perturbations with integral zero.