Global Nonexistence for a Nonlinear Viscoelastic Equation with Nonlinear Damping and Velocity-Dependent Material Density

被引：0

作者：

Dang, Jian ^{[1
]}

Hu, Qingying ^{[1
]}

Zhang, Hongwei ^{[1
]}

机构：

[1] Henan Univ Technol, Dept Math, Zhengzhou 450001, Henan, Peoples R China

来源：

JOURNAL OF FUNCTION SPACES | 2019年 / 2019卷

基金：

中国国家自然科学基金;

关键词：

EXPONENTIAL-GROWTH; KIRCHHOFF SYSTEMS; UNIFORM DECAY; EXISTENCE; ENERGY;

D O I：

10.1155/2019/8306790

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the initial boundary value problem of a nonlinear viscoelastic equation of Kirchhoff-type with nonlinear damping and velocity-dependent material density. We establish a nonexistence result of global solutions with positive initial energy and negative initial energy, respectively.

引用

页数：7

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