Blow up Result for a Viscoelastic Plate Equation with Nonlinear Source

被引：1

作者：

Mukiawa, Soh Edwin ^{[1
]}

Messaoudi, Salim A. ^{[2
]}

机构：

[1] Univ Hafr Al Batin, Dept Math, Hafar Al Batin 39524, Saudi Arabia

[2] Univ Sharjah, Dept Math & Stat, Sharjah 27272, U Arab Emirates

来源：

BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA | 2023年 / 41卷

关键词：

Blow up; suspension bridge; plate equation; viscoelastic; fourth-order; GLOBAL EXISTENCE; WAVE-EQUATION; NONEXISTENCE;

D O I：

10.5269/bspm.51725

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider a viscoelastic plate equation with nonlinear source and partially hinged boundary conditions. Our goal is to show analytically that the solution blows up in finite time. The background of the problem comes from the modeling of the downward displacement of a suspension bridge using a thin rectangular plate. This result shows that in the present of a nonlinear source such as the earthquake shocks, the bridge will collapse in a finite time.

引用

页数：1

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