Global Well-posedness of Classical Solutions to the Compressible Navier-Stokes-Poisson Equations with Slip Boundary Conditions in 3D Bounded Domains

Autor:	Chen, Yazhou, Huang, Bin, Shi, Xiaoding
Rok vydání:	2021
Předmět:	Mathematics - Analysis of PDEs
Druh dokumentu:	Working Paper
Popis:	We consider the initial-boundary-value problem of the isentropic compressible Navier-Stokes-Poisson equations subject to large and non-flat doping profile in 3D bounded domain with slip boundary condition and vacuum. The global well-posedness of classical solution is established with small initial energy but possibly large oscillations and vacuum. The steady state (except velocity) and the doping profile are allowed to be of large variation. Comment: 31 pages. Revised the proof of Lemma 3.7 and corrected some typos. arXiv admin note: substantial text overlap with arXiv:2102.07341; text overlap with arXiv:2102.06348
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2102.07938 Zobrazit plný text záznamu View this record from Arxiv