Polynomial decay and blow up of solutions for variable coefficients viscoelastic wave equation with acoustic boundary conditions

Yamna Boukhatem; Benyattou Benabderrahmane

doi:10.1007/s10114-016-5093-3

Polynomial decay and blow up of solutions for variable coefficients viscoelastic wave equation with acoustic boundary conditions

Acta Mathematica Sinica English Series ◽

10.1007/s10114-016-5093-3 ◽

2016 ◽

Vol 32 (2) ◽

pp. 153-174 ◽

Cited By ~ 13

Author(s):

Yamna Boukhatem ◽

Benyattou Benabderrahmane

Keyword(s):

Wave Equation ◽

Boundary Conditions ◽

Blow Up ◽

Variable Coefficients ◽

Polynomial Decay ◽

Acoustic Boundary Conditions ◽

Viscoelastic Wave Equation ◽

Viscoelastic Wave

Download Full-text

General Decay for a Coupled System of Viscoelastic Wave Equation of Infinite Memory with Acoustic Boundary Conditions

10.1109/icrami52622.2021.9585955 ◽

2021 ◽

Author(s):

Abdelaziz Limam ◽

Benyattou Benabderrahmane ◽

Yamna Boukhatem

Keyword(s):

Wave Equation ◽

Boundary Conditions ◽

Coupled System ◽

General Decay ◽

Acoustic Boundary Conditions ◽

Infinite Memory ◽

Viscoelastic Wave Equation ◽

Viscoelastic Wave

Download Full-text

Global Nonexistence for A Viscoelastic Wave Equation with Acoustic Boundary Conditions

Acta Mathematica Scientia ◽

10.1007/s10473-020-0111-2 ◽

2019 ◽

Vol 40 (1) ◽

pp. 155-169 ◽

Cited By ~ 1

Author(s):

Jiali Yu ◽

Yadong Shang ◽

Huafei Di

Keyword(s):

Wave Equation ◽

Boundary Conditions ◽

Acoustic Boundary Conditions ◽

Viscoelastic Wave Equation ◽

Global Nonexistence ◽

Viscoelastic Wave

Download Full-text

Upper and lower bounds for the blow-up time for a viscoelastic wave equation with dynamic boundary conditions

Quaestiones Mathematicae ◽

10.2989/16073606.2019.1595768 ◽

2019 ◽

Vol 43 (8) ◽

pp. 999-1017 ◽

Cited By ~ 2

Author(s):

Wenjun Liu ◽

Biqing Zhu ◽

Gang Li

Keyword(s):

Wave Equation ◽

Boundary Conditions ◽

Lower Bounds ◽

Blow Up ◽

Upper And Lower Bounds ◽

Dynamic Boundary Conditions ◽

Viscoelastic Wave Equation ◽

Dynamic Boundary ◽

Viscoelastic Wave

Download Full-text

A global nonexistence of solutions for a quasilinear viscoelastic wave equation with acoustic boundary conditions

Boundary Value Problems ◽

10.1186/s13661-018-1057-0 ◽

2018 ◽

Vol 2018 (1) ◽

Author(s):

Yong Han Kang ◽

Jong Yeoul Park ◽

Daewook Kim

Keyword(s):

Wave Equation ◽

Boundary Conditions ◽

Acoustic Boundary Conditions ◽

Viscoelastic Wave Equation ◽

Global Nonexistence ◽

Viscoelastic Wave ◽

Nonexistence Of Solutions

Download Full-text

Existence and decay of solutions for a viscoelastic wave equation with acoustic boundary conditions

Nonlinear Analysis ◽

10.1016/j.na.2013.11.019 ◽

2014 ◽

Vol 97 ◽

pp. 191-209 ◽

Cited By ~ 34

Author(s):

Yamna Boukhatem ◽

Benyattou Benabderrahmane

Keyword(s):

Wave Equation ◽

Boundary Conditions ◽

Acoustic Boundary Conditions ◽

Viscoelastic Wave Equation ◽

Decay Of Solutions ◽

Viscoelastic Wave

Download Full-text

Decay and blow-up for viscoelastic wave equation of variable coefficients with logarithmic nonlinearity

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2021.125608 ◽

2021 ◽

pp. 125608

Author(s):

Jianghao Hao ◽

Fangqing Du

Keyword(s):

Wave Equation ◽

Blow Up ◽

Variable Coefficients ◽

Viscoelastic Wave Equation ◽

Viscoelastic Wave

Download Full-text

Decay rate for viscoelastic wave equation of variable coefficients with delay and dynamic boundary conditions

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.6731 ◽

2020 ◽

Vol 44 (1) ◽

pp. 284-302

Author(s):

Jianghao Hao ◽

Fangqing Du

Keyword(s):

Wave Equation ◽

Boundary Conditions ◽

Decay Rate ◽

Variable Coefficients ◽

Dynamic Boundary Conditions ◽

Viscoelastic Wave Equation ◽

Dynamic Boundary ◽

Viscoelastic Wave

Download Full-text

Decay of solutions for a viscoelastic wave equation with acoustic boundary conditions

Authorea ◽

10.22541/au.158015294.44869319 ◽

2020 ◽

Author(s):

abita rahmoune

Keyword(s):

Wave Equation ◽

Boundary Conditions ◽

Acoustic Boundary Conditions ◽

Viscoelastic Wave Equation ◽

Decay Of Solutions ◽

Viscoelastic Wave

Download Full-text

Blow-up phenomena for a viscoelastic wave equation with strong damping and logarithmic nonlinearity

Advances in Difference Equations ◽

10.1186/s13662-020-02694-x ◽

2020 ◽

Vol 2020 (1) ◽

Author(s):

Tae Gab Ha ◽

Sun-Hye Park

Keyword(s):

Wave Equation ◽

Blow Up ◽

Strong Damping ◽

Viscoelastic Wave Equation ◽

Viscoelastic Wave

Download Full-text

Blow-Up of Solution for A Viscoelastic Wave Equation with Delay

Acta Mathematica Scientia ◽

10.1007/s10473-019-0124-7 ◽

2019 ◽

Vol 39 (1) ◽

pp. 329-338 ◽

Cited By ~ 2

Author(s):

Shun-Tang Wu

Keyword(s):

Wave Equation ◽

Blow Up ◽

Viscoelastic Wave Equation ◽

Viscoelastic Wave ◽

Equation With Delay

Download Full-text