Viscoelastic fourth-order wave equation with logarithmic and variable-exponent nonlinearities: blow-up analysis
Year: 2025
Type: article
Abstract: In this paper, we study a fourth-order viscoelastic wave equation involving variable-exponent nonlinearities and a logarithmic source term, where the memory kernel is a positive, nonincreasing function, and the variable exponents are measurable functions satisfying certain conditions. By employing the energy method alongside several integral inequality techniques, we establish a finite-time blow-up result for all solutions corresponding to negative initial energy, as well as for a specific class of solutions with positive initial energy.
Source: Gulf Journal of Mathematics
Authors: Mohammed Yassine Trigui, Mohamed Saadaoui
Institution: Amar Telidji University of Laghouat
Language: English
Subfield: Control and Systems Engineering
Field: Engineering
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4413301537