| 概要 |
In the talk we are concerned with a model system of the one-dimensional Navier-
Stokes-Poisson equations used to describe the ion dynamics when viscosity is taken into account.
We establish the existence of smooth travelling waves with small amplitude, and also obtain the
nonlinear stability under small smooth perturbations in terms of the classical energy method.
In the proof, the main analytical diculty is to understand the e ect of the self-consistent force
on the viscous
uid system. This is a joint work with Zhu Zhang.
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