BLOW-UP OF SOLUTIONS TO A VISCOELASTIC WAVE EQUATION WITH NONLOCAL DAMPING

被引：0
|
作者：
Li, Donghao [1 ]
Zhang, Hongwei [1 ]
Liu, Shuo [1 ]
Hu, Qingiyng [1 ]
机构：
[1] Henan Univ Technol, Dept Math, Zhengzhou 450001, Peoples R China
来源：
EVOLUTION EQUATIONS AND CONTROL THEORY | 2022年 / 11卷 / 06期
基金：
中国国家自然科学基金;
关键词：
Viscoelastic wave equation; initial boundary value problem; nonlocal damping; blow-up; LONG-TIME DYNAMICS; GLOBAL NONEXISTENCE; EXPONENTIAL STABILITY; EVOLUTION-EQUATIONS; PLATE EQUATION; ATTRACTORS; EXISTENCE; MODEL; THEOREMS; INFINITY;
D O I：
10.3934/eect.2022009
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The viscoelastic wave equation with nonlinear nonlocal weak damping is considered. The local existence of solutions is established. Under arbitrary positive initial energy, a finite-time blow-up result is proved by a new modified concavity method.
引用
收藏
页码：2017 / 2031
页数：15
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