Stability of steady states of the Navier-Stokes-Poisson equations with non-flat doping profile. (English) Zbl 1326.35287
The authors study the stability of steady state of the compressible Navier-Stokes-Poisson equations with non-flat doping profile. The authors first show that there exists a unique global classical solution to the compressible Navier-Stokes-Poisson equations near the steady state for general doping profile. When the doping profile is small in some norm, the algebraic decay rates are obtained provided the initial perturbation belongs to \(L^p\) with \(p \in [1, 3/2)\).
Reviewer: Cheng He (Beijing)
MSC:
35Q35 | PDEs in connection with fluid mechanics |
76N10 | Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics |
35M10 | PDEs of mixed type |
35Q60 | PDEs in connection with optics and electromagnetic theory |