GLOBAL NONEXISTENCE FOR A VISCOELASTIC WAVE EQUATION WITH ACOUSTIC BOUNDARY CONDITIONS

被引：0

作者：

于佳利 ^{[1
,2
]}

尚亚东 ^{[2
]}

狄华斐 ^{[2
]}

机构：

[1] School of Science, Dalian Jiaotong University

[2] School of Mathematics and Information Science, Guangzhou University

来源：

ActaMathematicaScientia | 2020年 / 40卷 / 01期

关键词：

viscoelastic wave equation; Global nonexistence; Acoustic boundary conditions;

D O I：

暂无

中图分类号：

O175.29 [非线性偏微分方程];

学科分类号：

070104 ;

摘要：

This paper deals with a class of nonlinear viscoelastic wave equation with damping and source terms ■ with acoustic boundary conditions. Under some appropriate assumption on relaxation function g and the initial data, we prove that the solution blows up in finite time if the positive initial energy satisfies a suitable condition.

引用

页码：155 / 169

页数：15

共 22 条

[1] BLOW-UP PHENOMENA FOR A CLASS OF GENERALIZED DOUBLE DISPERSION EQUATIONS [J].

狄华斐 ;

尚亚东 .

Acta Mathematica Scientia(English Series), 2019, 39 (02) :567-579

[2] 具衰退记忆的四阶拟抛物方程的长时间行为 [J].

彭小明 ;

郑筱筱 ;

尚亚东 .

数学物理学报, 2019, 39 (01) :114-124

[3] Polynomial Decay and Blow Up of Solutions for Variable Coefficients Viscoelastic Wave Equation with Acoustic Boundary Conditions [J].

Yamna BOUKHATEM ;

Benyattou BENABDERRAHMANE .

ActaMathematicaSinica, 2016, 32 (02) :153-174

[4]

Lower bounds for the blow-up time to a nonlinear viscoelastic wave equation with strong damping[J] . Xiaoming Peng,Yadong Shang,Xiaoxiao Zheng.Applied Mathematics Letters . 2018

[5] General decay of solutions of quasilinear wave equation with time-varying delay in the boundary feedback and acoustic boundary conditions [J].

Lee, Mi Jin ;

Park, Jong Yeoul ;

Park, Sun-Hye .

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2017, 40 (12) :4560-4576

[6]

Energy decay rates for the semilinear wave equation with memory boundary condition and acoustic boundary conditions[J] . Jin-Mun Jeong,Jong Yeoul Park,Yong Han Kang.Computers and Mathematics with Applications . 2017

[7]

General decay and blow up of solutions for a system of viscoelastic wave equations with nonlinear boundary source terms[J] . Amir Peyravi.Journal of Mathematical Analysis and Applications . 2017

[8]

Global existence and nonexistence of solutions for a viscoelastic wave equation with nonlinear boundary source term[J] . Huafei Di,Yadong Shang,Xiaoming Peng.Mathematische Nachrichten . 2016 (11-1)

[9] GENERAL DECAY OF SOLUTIONS FOR A VISCOELASTIC EQUATION WITH BALAKRISHNAN-TAYLOR DAMPING AND NONLINEAR BOUNDARY DAMPING-SOURCE INTERACTIONS [J].

Wu, Shun-Tang .

ACTA MATHEMATICA SCIENTIA, 2015, 35 (05) :981-994

[10]

Arbitrary rate of decay for a viscoelastic equation with acoustic boundary conditions[J] . Wenjun Liu.Applied Mathematics Letters . 2014

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