Global Stability to Steady Supersonic Rayleigh Flows inOne-Dimensional Duct∗


Fenglun WEI,Jianli LIU.Global Stability to Steady Supersonic Rayleigh Flows inOne-Dimensional Duct∗[J].Chinese Annals of Mathematics B,2024,45(2):279~296
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Fenglun WEI; Jianli LIU


This work was supported by the National Natural Science Foundation of China (No. 11771274) and the Natural Science Foundation of Shanghai (No. 20ZR1419400).
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.


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


35L50, 35L65
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