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| Global Stability to Steady Supersonic Rayleigh Flows inOne-Dimensional Duct∗ |
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Citation： |
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 |
| Page view： 1310
Net amount： 647 |
Authors： |
Fenglun WEI; Jianli LIU |
Foundation： |
This work was supported by the National Natural Science Foundation of China (No. 11771274) and the
Natural Science Foundation of Shanghai (No. 20ZR1419400). |
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| 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 |
Classification： |
35L50, 35L65 |
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