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

共 50 条

[1] Global existence and general decay for a nonlinear viscoelastic equation with nonlinear localized damping and velocity-dependent material density
Zhang, Zai-Yun
Liu, Zhen-Hai
Gan, Xiang-Yang
APPLICABLE ANALYSIS, 2013, 92 (10) : 2021 - 2048
[2] NONEXISTENCE OF GLOBAL SOLUTIONS OF NONLINEAR HYPERBOLIC EQUATION WITH MATERIAL DAMPING
宋长明
AppliedMathematicsandMechanics(EnglishEdition), 2006, (07) : 975 - 981
[3] Nonexistence of global solutions of nonlinear hyperbolic equation with material damping
Song Chang-ming
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2006, 27 (07) : 975 - 981
[4] Nonexistence of global solutions of nonlinear hyperbolic equation with material damping
Chang-ming Song
Applied Mathematics and Mechanics, 2006, 27 : 975 - 981
[5] GLOBAL EXISTENCE AND NONEXISTENCE FOR THE VISCOELASTIC WAVE EQUATION WITH NONLINEAR BOUNDARY DAMPING-SOURCE INTERACTION
Said-Houari, Belkacem
Falcao Nascimento, Flavio A.
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2013, 12 (01) : 375 - 403
[6] Global Existence and Exponential Decay for a Nonlinear Viscoelastic Equation with Nonlinear Damping
Han Xiaosen
JOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS, 2009, 22 (04): : 299 - 314
[7] Global existence, nonexistence, and decay of solutions for a viscoelastic wave equation with nonlinear boundary damping and source terms
Yu, Jiali
Shang, Yadong
Di, Huafei
JOURNAL OF MATHEMATICAL PHYSICS, 2020, 61 (07)
[8] Global existence and nonexistence for a nonlinear wave equation with damping and source terms
Zhou, Y
MATHEMATISCHE NACHRICHTEN, 2005, 278 (11) : 1341 - 1358
[9] Global existence and uniform decay for a nonlinear viscoelastic equation with damping
Han, Xiaosen
Wang, Mingxin
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (09) : 3090 - 3098
[10] Global Existence and Uniform Decay for a Nonlinear Viscoelastic Equation with Damping
Jong Yeoul Park
Jum Ran Kang
Acta Applicandae Mathematicae, 2010, 110 : 1393 - 1406

← 1 2 3 4 5 →