Stability of steady-state solutions to Navier-Stokes-Poisson systems

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:462

Article

Feng, Yue-Hong¹  Liu, Cun-Ming² 

[1] Beijing Univ Technol, Coll Appl Sci, Beijing 100022, Peoples R China

[2] Qufu Normal Univ, Dept Math, Qufu 273165, Shandong, Peoples R China

关键词: Navier-Stokes-Poisson system;    Steady-state;    Global smooth solution;    Energy estimate;   

DOI  :  10.1016/j.jmaa.2018.03.001

来源: Elsevier

【 摘 要 】

This paper is concerned with a stability problem for compressible Navier-Stokes-Poisson systems. It arises in the modeling of semiconductors with a viscosity term in momentum equations. We prove that smooth solutions exist globally in time near the steady-state solution, and converge to the steady state for large time. In this stability result, we don't give any special assumptions on the given doping profile. The proof is based on the techniques of anti-symmetric matrix and an induction argument on the order of the space derivatives of solutions in energy estimates. (C) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

Free