Title
Stability of Steady States of the Navier-Stokes-Poisson Equations with Non-Flat Doping Profile.
Abstract
We consider the stability of the steady state of the compressible Navier-StokesPoisson equations with the non-flat doping profile. We prove the global existence of classical solutions near the steady state for the large doping profile. For the small doping profile, we prove the time decay rates of the solution provided that the initial perturbation belongs to L-p with 1 <= p < 3/2.
Year
DOI
Venue
2015
10.1137/130950069
SIAM JOURNAL ON MATHEMATICAL ANALYSIS
Keywords
Field
DocType
Navier-Stokes-Poisson equations,stability,energy method,time decay
Compressibility,Mathematical optimization,Mathematical analysis,Time decay,Poisson distribution,Steady state,Energy method,Classical mechanics,Perturbation (astronomy),Doping profile,Physics
Journal
Volume
Issue
ISSN
47
1
0036-1410
Citations 
PageRank 
References 
1
0.48
0
Authors
3
Name
Order
Citations
PageRank
Zhong Tan120.92
Yanjin Wang252.43
Yong Wang320.92