Study of the stability of the linearized compressible Navier-Stokes system

被引：0
|
作者：
Arfaoui, Hassen [1 ,2 ]
机构：
[1] Jouf Univ, Coll Sci, Dept Math, Sakaka, Al Jouf, Saudi Arabia
[2] Univ Carthage, ISSAT Mateur, Tunis, Tunisia
来源：
TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL | 2024年
关键词：
Linearized Navier-Stokes system; unbounded operator; Fourier series; exponential stability; finite differences; EQUATIONS;
D O I：
10.1177/01423312241292760
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
A deep analytic analysis of the stability for the one-dimensional linearized compressible Navier-Stokes system (LNSS) is presented. A very detailed study of the spectrum of the unbounded linear differential operator associated with LNSS has been completed. A Fourier analysis method and an explicit calculation using the eigenvalues of the linear operator make it possible to obtain exponential stability results with a decay rate determined solely according to the parameters of LNSS. Consequently, some exponential stability results are proved in different Hilbert spaces, (in L 2 -norm and H 1 -norm). Finally, numerical experiments are presented to verify the theoretical results.
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页数：10
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