Indexed by:
Abstract:
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.
Keyword:
Reprint Author's Address:
Source :
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN: 0022-247X
Year: 2018
Issue: 2
Volume: 462
Page: 1679-1694
1 . 3 0 0
JCR@2022
ESI Discipline: MATHEMATICS;
ESI HC Threshold:63
JCR Journal Grade:1
Cited Count:
WoS CC Cited Count: 23
SCOPUS Cited Count: 21
ESI Highly Cited Papers on the List: 5 Unfold All
WanFang Cited Count:
Chinese Cited Count:
30 Days PV: 1
Affiliated Colleges: