Stabilization and spectral properties of acoustic flow in a cylindrical shell. Issue 1 (2nd January 2022)

• Record Type: Journal Article
• Authors: Lee, Doo-Sung
• Is Part Of: Applicable analysis. Volume 101:Issue 1(2022)
• Page Start: 158
• Page End: 166
• Publication Date: 2022-01-02
• Subjects: Stabilization -- acoustic flow -- cylindrical shell; 35P05; Mathematical analysis -- Periodicals; 515
• DOI: 10.1080/00036811.2020.1734188
• Languages: English
• ISSNs: 0003-6811

Abstract

ABSTRACT: In this paper, we present a fully coupled mathematical model describing the interaction between a thin cylindrical shell and an enclosed acoustic field. We prove the uniqueness of the solution which can be described by semi-group theory. We also use the perturbation theory to study the spectral properties of the three-dimensional acoustic flow. Asymptotic values, when time approaches to infinity, are given.