A BLOW-UP RESULT TO A DELAYED CAUCHY VISCOELASTIC PROBLEM

被引：3

作者：

Kafini, Mohammad ^{[1
]}

Mustafa, Muhammad I. ^{[2
]}

机构：

[1] KFUPM, Dept Math & Stat, Dhahran 31261, Saudi Arabia

[2] Univ Sharjah, Dept Math, Sharjah, U Arab Emirates

来源：

JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS | 2018年 / 30卷 / 01期

关键词：

Blow up; Cauchy problem; delay time; relaxation function; viscoelastic; NONLINEAR-WAVE EQUATION; GLOBAL NONEXISTENCE THEOREMS; LINEAR EVOLUTION-EQUATIONS; POSITIVE-INITIAL-ENERGY; TIME-VARYING DELAY; SOURCE TERMS; STABILITY; EXISTENCE; BOUNDARY; STABILIZATION;

D O I：

10.1216/JIE-2018-30-1-81

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider a Cauchy problem for a nonlinear viscoelastic equation with delay. Under suitable conditions on the initial data and the relaxation function, in the whole space, we prove a finite-time blow-up result.

引用

页码：81 / 94

页数：14

共 50 条

[31] An inverse blow-up problem
Kamimura, Yutaka
Usami, Hiroyuki
JOURNAL OF DIFFERENTIAL EQUATIONS, 2016, 261 (11) : 6368 - 6410
[32] Delayed blow-up by transport noise
Flandoli, Franco
Galeati, Lucio
Luo, Dejun
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2021, 46 (09) : 1757 - 1788
[33] Blow up for a Cauchy viscoelastic problem with a nonlinear dissipation of cubic convolution type
Yu, Shengqi
Wang, Mingxin
Liu, Wenjun
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2009, 32 (15) : 1919 - 1928
[34] General decay and blow-up of solution for a quasilinear viscoelastic problem with nonlinear source
Liu, Wenjun
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 73 (06) : 1890 - 1904
[35] Blow-up criterion for the incompressible viscoelastic flows
Feng, Zefu
Zhu, Changjiang
Zi, Ruizhao
JOURNAL OF FUNCTIONAL ANALYSIS, 2017, 272 (09) : 3742 - 3762
[36] Existence and blow-up of solution of Cauchy problem for the generalized damped multidimensional Boussinesq equation
Polat, Necat
Ertas, Abdulkadir
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 349 (01) : 10 - 20
[37] Instantaneous Blow-up of Classical Solutions to the Cauchy Problem for the Khokhlov-Zabolotskaya Equation
Korpusov, M. O.
Mikhailenko, S.
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2017, 57 (07) : 1167 - 1172
[38] Blow-up of Smooth Solutions to the Cauchy Problem for the Viscous Two-Phase Model
Dong, Jianwei
Zhu, Junhui
Xue, Hongxia
MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY, 2018, 21 (03)
[39] Instantaneous blow-up of solutions to the Cauchy problem for the fractional Khokhlov-Zabolotskaya equation
Jleli, Mohamed
OPEN MATHEMATICS, 2020, 18 : 1266 - 1271
[40] Blow-up of Smooth Solutions to the Cauchy Problem for the Viscous Two-Phase Model
Jianwei Dong
Junhui Zhu
Hongxia Xue
Mathematical Physics, Analysis and Geometry, 2018, 21

← 1 2 3 4 5 →