Global Stability to Steady Supersonic Rayleigh Flows in One-Dimensional Duct

Abstract

Heat exchange plays an important role in hydrodynamical systems, which is an interesting topic in theory and application. In this paper, the authors consider the global stability of steady supersonic Rayleigh flows for the one-dimensional compressible Euler equations with heat exchange, under the small perturbations of initial and boundary conditions in a finite rectilinear duct.

Keywords

Compressible Euler equations / Heat exchange / Supersonic Rayleigh flow / Steady solution / Classical solution

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