Regularity and stability of a wave equation with a strong damping and dynamic boundary conditions

Evolution Equations and Control Theory ◽

10.3934/eect.2013.2.631 ◽

2013 ◽

Vol 2 (4) ◽

pp. 631-667 ◽

Author(s):

Nicolas Fourrier ◽

◽

Irena Lasiecka ◽

Keyword(s):

Wave Equation ◽

Boundary Conditions ◽

Dynamic Boundary Conditions ◽

Strong Damping ◽

Dynamic Boundary

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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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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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Analyticity and Gevrey class regularity for a strongly damped wave equation with hyperbolic dynamic boundary conditions

Semigroup Forum ◽

10.1007/s00233-013-9534-3 ◽

2013 ◽

Vol 88 (2) ◽

pp. 333-365 ◽

Author(s):

Philip Jameson Graber ◽

Irena Lasiecka

Keyword(s):

Wave Equation ◽

Boundary Conditions ◽

Gevrey Class ◽

Damped Wave Equation ◽

Dynamic Boundary Conditions ◽

Dynamic Boundary ◽

Strongly Damped Wave Equation ◽

Gevrey Class Regularity ◽

Strongly Damped

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The Wave Equation Together with Matheu-Hill and Laguerre Form Dynamic Boundary Conditions

World Journal of Mechanics ◽

10.4236/wjm.2011.16039 ◽

2011 ◽

Vol 01 (06) ◽

pp. 306-309

Author(s):

Kenan Koser

Keyword(s):

Wave Equation ◽

Boundary Conditions ◽

Dynamic Boundary Conditions ◽

Dynamic Boundary

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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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Flatness-based algebraic fault identification for a wave equation with dynamic boundary conditions

IFAC-PapersOnLine ◽

10.1016/j.ifacol.2020.12.1366 ◽

2020 ◽

Vol 53 (2) ◽

pp. 7647-7652

Author(s):

F. Fischer ◽

J. Deutscher

Keyword(s):

Wave Equation ◽

Boundary Conditions ◽

Fault Identification ◽

Dynamic Boundary Conditions ◽

Dynamic Boundary

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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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Existence and exponential stability of a damped wave equation with dynamic boundary conditions and a delay term

Applied Mathematics and Computation ◽

10.1016/j.amc.2012.05.055 ◽

2012 ◽

Vol 218 (24) ◽

pp. 11900-11910 ◽

Author(s):

Stéphane Gerbi ◽

Belkacem Said-Houari

Keyword(s):

Wave Equation ◽

Boundary Conditions ◽

Exponential Stability ◽

Damped Wave Equation ◽

Dynamic Boundary Conditions ◽

Dynamic Boundary

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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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