Premium
Remark on the optimal time‐decay estimates for the compressible Navier‐Stokes‐Poisson equations without additional smallness assumptions
Author(s) -
Shi Weixuan
Publication year - 2021
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.7491
Subject(s) - mathematics , compressibility , poisson distribution , constant (computer programming) , energy method , mathematical analysis , energy (signal processing) , poisson's equation , argument (complex analysis) , physics , mechanics , statistics , biochemistry , chemistry , computer science , programming language
The present paper is dedicated to the large‐time asymptotic behavior of global strong solutions near constant equilibrium (away from vacuum) to the compressible Navier‐Stokes‐Poisson equations in the L p critical framework. The proof mainly depends on the pure energy argument without the spectral analysis (for the linearized system), which enables us to remove the usual smallness assumption on low frequencies of initial data. It is improved in comparison with the result of Shi and Xu [J Differ Equ. 2019; 266(10):6426‐6458].