Work

A fourth order wave equation with acoustic boundary conditions: asymptotic behavior and blow-up in finite time

Year: 2025

Type: article

Abstract: This work is devoted to the study of an initial boundary value problem for a fourth order wave equation with weak damping, source term, and acoustic boundary conditions. Under suitable assumptions on the initial data, we prove the global existence, exponential decay and blow up of solutions with negative initial energy.

Source: Boundary Value Problems

DOI: 10.1186/s13661-025-02142-3

Authors: Aimene Imad, Nouri Boumaza, Billel Gheraibia, Hongwei Zhang, Zayd Hajjej

Institutions: Université Larbi Tébessi, Larbi Ben M'hidi University of Oum El Bouaghi, Henan University of Technology, King Saud University

Language: English

Topic: Stability and Controllability of Differential Equations

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,890

Funder: King Saud University