On the dynamics of the Damped Extensible Beam 1D-equation

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URI: http://hdl.handle.net/10498/35319

DOI: 10.1016/J.JMAA.2022.126954

ISSN: 1096-0813

ISSN: 0022-247X

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Author/s
Lizama, Carlos; Murillo Arcila, MarinaAuthority UCA
Date
2023
Department
Matemáticas
Source
J. Math. Anal. Appl., 522 (2023), 126954
Abstract
We show that the solutions of the linearized damped extensible beam equation exhibit a chaotic or stable behavior that depends on the distribution of the physical parameters of the equation. Such dynamical behavior is achieved in Herzog-like spaces. Our results provide new insights into the damped extensible beam equation by finding a critical parameter whose sign determines such qualitative properties.
Subjects
Stability; C0 -semigroups; Chaos; Damped extensible beam equation; Herzog spaces
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