Abstract This paper concerns an initial value problem of compressible Navier-Stokes-Poisson equations subject to large and non-flat doping profile in whole space R 3 . The global well-posedness of strong solutions with large oscillations and vacuum is established, provided the initial data are of small energy and the steady state is strictly away from vacuum. A weak-strong uniqueness result is also obtained.

中文翻译：

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受大和非平坦掺杂分布影响的可压缩 Navier-Stokes-Poisson 方程的具有大振荡和真空的强解的全局适定性

摘要 本文研究了在整个空间R 3 中受大且非平坦掺杂分布影响的可压缩Navier-Stokes-Poisson方程的初值问题。假设初始数据能量较小且稳态严格远离真空，则建立了具有大振荡和真空的强解的全局适定性。也得到了一个弱-强唯一性结果。