Year: 2024
Type: article
Abstract: 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.
Author: Hassen Arfaoui
Institutions: University of Carthage, Jouf University
Language: English
Subfield: Control and Systems Engineering
Field: Engineering
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W4405116282