Stationary flows for viscous heat-conductive fluid in a perturbed half-space

2024/10/18 by Mingjie Li, Masahiro Suzuki, Li, Mingjie +3
Chemical Engineering · Computer Science · Engineering · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Fluid Dynamics and Turbulent Flows #Rheology and Fluid Dynamics Studies

paper · pdf · doi:10.48550/arxiv.2410.14511

openalex publication_date 2024/10/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider the non-isentropic 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.

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