Premium
On the compressible viscous barotropic flows subject to large external potential forces in a half space with Navier's boundary conditions
Author(s) -
Song Changzhen,
Zhang Jianwen
Publication year - 2020
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.6975
Subject(s) - barotropic fluid , mathematics , boundary value problem , compressibility , space (punctuation) , mathematical analysis , flow (mathematics) , boundary (topology) , compressible flow , navier–stokes equations , state space , classical mechanics , mechanics , physics , geometry , statistics , linguistics , philosophy
This paper is concerned with an initial and boundary value problem of the Navier‐Stokes equations for compressible viscous barotropic flow subject to large external potential forces in a half spaceℝ + 3with Navier's boundary conditions. The global well‐posedness of strong solutions with large oscillations and vacuum is established, provided that the initial energy is suitably small and that the unique steady state is strictly away from vacuum. As a by‐product, the stability of stationary solution is obtained.