On the compressible viscous barotropic flows subject to large external potential forces in a half space with Navier's boundary conditions

• Published in: Mathematical methods in the applied sciences Vol. 44; no. 5; pp. 3705 - 3726
• Main Authors: Song, Changzhen, Zhang, Jianwen
• Format: Journal Article
• Language: English
• Published: Freiburg Wiley Subscription Services, Inc 30.03.2021
• Subjects: Barotropic flow; Boundary conditions; Boundary value problems; Compressibility; compressible Navier‐Stokes equations; Fluid dynamics; Fluid flow; global solutions; half space; large external potential forces; Navier's boundary conditions

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 space ℝ+3 with Navier's boundary conditions. The global well‐posedness of strong solutions with large o...