Stability of Steady States of the Navier--Stokes--Poisson Equations with Non-Flat Doping Profile

Stability of Steady States of the Navier--Stokes--Poisson Equations with Non-Flat Doping Profile

We consider the stability of the steady state of the compressible Navier--Stokes--Poisson 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 o...

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Veröffentlicht in:SIAM journal on mathematical analysis 2015-01, Vol.47 (1), p.179-209
Hauptverfasser: Tan, Zhong, Wang, Yanjin, Wang, Yong
Format: Artikel
Sprache:eng
Schlagworte:
Compressibility
Decay rate
Doping
Fluid flow
Mathematical analysis
Perturbation methods
Stability
Steady state
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Zusammenfassung:We consider the stability of the steady state of the compressible Navier--Stokes--Poisson 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 pi $ with $1\leqslant p< 3/2$.
ISSN:0036-1410
1095-7154
DOI:10.1137/130950069