Stationary flows for viscous heat-conductive fluid in a perturbed half-space
Abstract
Abstract We consider the nonisentropic compressible Navier–Stokes equation in a perturbed half-space with an outflow boundary condition as well as the supersonic condition. This equation models a compressible viscous, heat-conductive, and Newtonian polytropic fluid. We show the unique existence of stationary solutions for the perturbed half-space. The stationary solution constructed in this paper depends on all directions and has multidirectional flow. We also prove the asymptotic stability of this stationary solution.
Fields of Study & Subjects
Rheology and Fluid Dynamics Studies
Fluid Dynamics and Turbulent Flows
Advanced Mathematical Modeling in Engineering
Publication details
- Journal / source
- Advances in Nonlinear Analysis
- Publisher
- Walter de Gruyter GmbH
- Volume
- 15
- Issue
- 1
- Publication date
- 1 January 2026
- Language
- EN