Global stability to steady supersonic solutions of the 1-D compressible Euler equations with frictions

摘要

In this paper, using wave decomposition and establishing uniform a priori C-1 estimates, we proved global stability of steady supersonic Fanno flows under small perturbations of initial-boundary values in a one-dimensional rectilinear finite duct with constant cross-sections. The flow is governed by the one-space dimensional compressible Euler equations with a nonlinear damping term representing frictions in the duct. Both isentropic and non-isentropic polytropic gases are considered. (C) 2020 Elsevier Inc. All rights reserved.