Stabilization and spectral properties of acoustic flow in a cylindrical shell

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.

KEYWORDS:

• Stabilization
• acoustic flow
• cylindrical shell

2010 MATHEMATICS SUBJECT CLASSIFICATION:

• 35P05

Disclosure statement

No potential conflict of interest was reported by the author(s).

Correction Statement

This article has been republished with minor changes. These changes do not impact the academic content of the article.