Blow-up of solution of wave equation with internal and boundary source term and non-porous viscoelastic acoustic boundary conditions

André Vicente

doi:10.1002/mana.201700282

Blow-up of solution of wave equation with internal and boundary source term and non-porous viscoelastic acoustic boundary conditions

Mathematische Nachrichten ◽

10.1002/mana.201700282 ◽

2018 ◽

Vol 292 (3) ◽

pp. 645-660

Author(s):

André Vicente

Keyword(s):

Wave Equation ◽

Boundary Conditions ◽

Source Term ◽

Blow Up ◽

Acoustic Boundary Conditions ◽

Boundary Source

Download Full-text

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

Energy decay of variable‐coefficient wave equation with nonlinear acoustic boundary conditions and source term

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.5505 ◽

2019 ◽

Vol 42 (6) ◽

pp. 2109-2123 ◽

Cited By ~ 1

Author(s):

Jianghao Hao ◽

Wenhua He

Keyword(s):

Wave Equation ◽

Boundary Conditions ◽

Variable Coefficient ◽

Source Term ◽

Energy Decay ◽

Acoustic Boundary Conditions ◽

Nonlinear Acoustic

Download Full-text

Blow-up results for a quasilinear von Karman equation of memory type with acoustic boundary conditions

Applied Mathematics Letters ◽

10.1016/j.aml.2020.106693 ◽

2021 ◽

Vol 112 ◽

pp. 106693

Author(s):

Mi Jin Lee ◽

Jum-Ran Kang

Keyword(s):

Boundary Conditions ◽

Blow Up ◽

Acoustic Boundary Conditions ◽

Von Karman ◽

Von Karman Equation ◽

Memory Type ◽

Von Kármán

Download Full-text

Energy decay for a nonlinear wave equation of variable coefficients with acoustic boundary conditions and a time-varying delay in the boundary feedback

Nonlinear Analysis ◽

10.1016/j.na.2014.08.021 ◽

2015 ◽

Vol 112 ◽

pp. 105-117 ◽

Cited By ~ 17

Author(s):

Jing Li ◽

Shugen Chai

Keyword(s):

Wave Equation ◽

Boundary Conditions ◽

Nonlinear Wave ◽

Nonlinear Wave Equation ◽

Variable Coefficients ◽

Time Varying ◽

Acoustic Boundary Conditions ◽

Time Varying Delay ◽

Boundary Feedback ◽

Varying Delay

Download Full-text

Global nonexistence of solutions for a quasilinear wave equation with acoustic boundary conditions

Boundary Value Problems ◽

10.1186/s13661-017-0773-1 ◽

2017 ◽

Vol 2017 (1) ◽

Cited By ~ 2

Author(s):

Jin-Mun Jeong ◽

Jong-Yeoul Park ◽

Yong Han Kang

Keyword(s):

Wave Equation ◽

Boundary Conditions ◽

Quasilinear Wave Equation ◽

Acoustic Boundary Conditions ◽

Global Nonexistence ◽

Nonexistence Of Solutions

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

Global existence and nonexistence of solutions for a viscoelastic wave equation with nonlinear boundary source term

Mathematische Nachrichten ◽

10.1002/mana.201500169 ◽

2016 ◽

Vol 289 (11-12) ◽

pp. 1408-1432 ◽

Cited By ~ 3

Author(s):

Huafei Di ◽

Yadong Shang ◽

Xiaoming Peng

Keyword(s):

Wave Equation ◽

Global Existence ◽

Nonlinear Boundary ◽

Source Term ◽

Viscoelastic Wave Equation ◽

Boundary Source ◽

Existence And Nonexistence ◽

Viscoelastic Wave ◽

Nonexistence Of Solutions

Download Full-text

Global nonexistence of solutions for a nonlinear wave equation with time delay and acoustic boundary conditions

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2018.05.006 ◽

2018 ◽

Vol 76 (3) ◽

pp. 661-671

Author(s):

Jin-Mun Jeong ◽

Jong-Yeoul Park ◽

Yong Han Kang

Keyword(s):

Wave Equation ◽

Time Delay ◽

Boundary Conditions ◽

Nonlinear Wave ◽

Nonlinear Wave Equation ◽

Acoustic Boundary Conditions ◽

Global Nonexistence ◽

Nonexistence Of Solutions

Download Full-text

Exponential growth for wave equation with fractional boundary dissipation and boundary source term

Boundary Value Problems ◽

10.1186/s13661-014-0138-y ◽

2014 ◽

Vol 2014 (1) ◽

Cited By ~ 1

Author(s):

Huiya Dai ◽

Hongwei Zhang

Keyword(s):

Wave Equation ◽

Exponential Growth ◽

Source Term ◽

Boundary Source ◽

Boundary Dissipation

Download Full-text