Work

Exponential decay and blow-up results of a logarithmic nonlinear wave equation having infinite memory and strong time-varying delay

Year: 2025

Type: article

Abstract: In this work, we investigate the logarithmic nonlinear wave equation, which is distinguished by strong time-varying delay components, infinite memory, and strong damping. Through semigroup theory, we have established a local existence result, paving the way for a comprehensive understanding of the equation’s behavior. In addition, we explore the global existence of solutions, revealing fascinating decay results and investigating the circumstances in which blow-up may occur in solutions with negative starting energy. Our results shed light on the complex nature of this dynamic system while also strengthening the theoretical framework.

Source: Boundary Value Problems

DOI: 10.1186/s13661-025-02079-7

Authors: Luqman Bashir, Jianghao Hao, Salah Boulaaras, Muhammad Fahim Aslam, Tong Zhang

Institutions: Shanxi University, Qassim 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

OpenAlex ID: W4411077205

FWCI: 3.447

Cites: 45

Cited by: 9

Related to: 10