Global existence and exponential growth for a viscoelastic wave equation with dynamic boundary conditions

Advances in Nonlinear Analysis ◽

10.1515/anona-2012-0027 ◽

2013 ◽

Vol 0 (0) ◽

Author(s):

Stéphane Gerbi ◽

Belkacem Said-Houari

Keyword(s):

Wave Equation ◽

Global Existence ◽

Boundary Conditions ◽

Exponential Growth ◽

Dynamic Boundary Conditions ◽

Viscoelastic Wave Equation ◽

Dynamic Boundary ◽

Viscoelastic Wave

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Stability result for viscoelastic wave equation with dynamic boundary conditions

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/s00033-018-0983-0 ◽

2018 ◽

Vol 69 (4) ◽

Author(s):

Akram Ben Aissa ◽

Mohamed Ferhat

Keyword(s):

Wave Equation ◽

Boundary Conditions ◽

Stability Result ◽

Dynamic Boundary Conditions ◽

Viscoelastic Wave Equation ◽

Dynamic Boundary ◽

Viscoelastic Wave

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General Decay Rates for a Viscoelastic Wave Equation with Dynamic Boundary Conditions and Past History

Mediterranean Journal of Mathematics ◽

10.1007/s00009-018-1154-4 ◽

2018 ◽

Vol 15 (3) ◽

Author(s):

Baowei Feng

Keyword(s):

Wave Equation ◽

Boundary Conditions ◽

Past History ◽

Decay Rates ◽

General Decay ◽

Dynamic Boundary Conditions ◽

Viscoelastic Wave Equation ◽

Dynamic Boundary ◽

Viscoelastic Wave

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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 ◽

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

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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 ◽

Variable Coefficients ◽

Dynamic Boundary Conditions ◽

Viscoelastic Wave Equation ◽

Dynamic Boundary ◽

Viscoelastic Wave

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Exponential stabilization of a viscoelastic wave equation with dynamic boundary conditions

Nonlinear Differential Equations and Applications NoDEA ◽

10.1007/s00030-015-0322-5 ◽

2015 ◽

Vol 22 (5) ◽

pp. 1259-1286 ◽

Author(s):

A. Khemmoudj ◽

L. Seghour

Keyword(s):

Wave Equation ◽

Boundary Conditions ◽

Exponential Stabilization ◽

Dynamic Boundary Conditions ◽

Viscoelastic Wave Equation ◽

Dynamic Boundary ◽

Viscoelastic Wave

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Tracking control design for a wave equation with dynamic boundary conditions modeling a piezoelectric stack actuator

International Journal of Robust and Nonlinear Control ◽

10.1002/rnc.1611 ◽

2010 ◽

Vol 21 (5) ◽

pp. 542-562 ◽

Author(s):

T. Meurer ◽

A. Kugi

Keyword(s):

Wave Equation ◽

Boundary Conditions ◽

Tracking Control ◽

Control Design ◽

Dynamic Boundary Conditions ◽

Dynamic Boundary ◽

Piezoelectric Stack Actuator

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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

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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 ◽

Author(s):

Jiali Yu ◽

Yadong Shang ◽

Huafei Di

Keyword(s):

Wave Equation ◽

Boundary Conditions ◽

Acoustic Boundary Conditions ◽

Viscoelastic Wave Equation ◽

Global Nonexistence ◽

Viscoelastic Wave

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Global existence, nonexistence, and decay of solutions for a viscoelastic wave equation with nonlinear boundary damping and source terms

Journal of Mathematical Physics ◽

10.1063/5.0012614 ◽

2020 ◽

Vol 61 (7) ◽

pp. 071503

Author(s):

Jiali Yu ◽

Yadong Shang ◽

Huafei Di

Keyword(s):

Wave Equation ◽

Global Existence ◽

Nonlinear Boundary ◽

Source Terms ◽

Boundary Damping ◽

Viscoelastic Wave Equation ◽

Decay Of Solutions ◽

Viscoelastic Wave ◽

Damping And Source Terms

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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 ◽

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

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