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Date Published: 30/09/2024
Online Published: 30/09/2024
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DOI: https://doi.org/10.54607/hcmue.js.21.9.4410(2024)
Issue
Vol. 21 No. 9 (2024)
Section
Articles
How to Cite
Nguyễn , V. Ý. (2024). BLOW UP IN A NONLINEAR VISCOELASTIC WAVE EQUATION WITH STRONG DAMPING AND VARIABLE SOURCES. HCMUE Journal of Science, 21(9), 1611. https://doi.org/10.54607/hcmue.js.21.9.4410(2024)

BLOW UP IN A NONLINEAR VISCOELASTIC WAVE EQUATION WITH STRONG DAMPING AND VARIABLE SOURCES

Văn Ý Nguyễn

Main Article Content

Abstract

This paper is devoted to studying the finite-time blow-up in high initial energy for the solution of the nonlinear viscoelastic wave equation.

 u_{tt}-\Delta u+\int_0^tg(t-s)\Delta u(s)ds-\Delta u_{t}=|u|^{p(x)-2}u,

in a bounded domain  Our result improves the blow-up result in the previous work that was obtained by Le et al. (2023).

 

 

 

 

 

Keywords

Blow-up, Nonlinear wave equation, Strong damping, Variable exponent sources, Viscoelasticity

Article Details

References

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