On coupled wave equation of Kirchhoff type with nonlinear boundary damping and memory term

Jong Yeoul Park; Jeong Ja Bae

doi:10.1016/s0096-3003(01)00031-5

On coupled wave equation of Kirchhoff type with nonlinear boundary damping and memory term

Applied Mathematics and Computation ◽

10.1016/s0096-3003(01)00031-5 ◽

2002 ◽

Vol 129 (1) ◽

pp. 87-105 ◽

Cited By ~ 10

Author(s):

Jong Yeoul Park ◽

Jeong Ja Bae

Keyword(s):

Wave Equation ◽

Nonlinear Boundary ◽

Memory Term ◽

Boundary Damping ◽

Kirchhoff Type ◽

Coupled Wave

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A mixed finite element method for solving coupled wave equation of Kirchhoff type with nonlinear boundary damping and memory term

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.7556 ◽

2021 ◽

Author(s):

Maryam Parvizi ◽

Amirreza Khodadadian ◽

M.R. Eslahchi

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Wave Equation ◽

Nonlinear Boundary ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Memory Term ◽

Boundary Damping ◽

Kirchhoff Type ◽

Coupled Wave

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A mixed finite element method for solving coupled wave equation of Kirchhofftype with nonlinear boundary damping and memory term

Authorea ◽

10.22541/au.158679888.83392381 ◽

2020 ◽

Author(s):

Maryam Parvizi ◽

Amirreza Khodadadian ◽

Mohammad Reza Eslahchi

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Wave Equation ◽

Nonlinear Boundary ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Memory Term ◽

Boundary Damping ◽

Element Method ◽

Coupled Wave

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Uniform decay of solution for wave equation of Kirchhoff type with nonlinear boundary damping and memory term

Nonlinear Analysis ◽

10.1016/s0362-546x(01)00781-7 ◽

2002 ◽

Vol 50 (7) ◽

pp. 871-884 ◽

Cited By ~ 30

Author(s):

Jong Yeoul Park ◽

Jeong Ja Bae ◽

Il Hyo Jung

Keyword(s):

Wave Equation ◽

Nonlinear Boundary ◽

Memory Term ◽

Uniform Decay ◽

Boundary Damping ◽

Kirchhoff Type

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On uniform decay of solutions for wave equation of Kirchhoff type with nonlinear boundary damping and memory source term

Applied Mathematics and Computation ◽

10.1016/s0096-3003(02)00163-7 ◽

2003 ◽

Vol 138 (2-3) ◽

pp. 463-478 ◽

Cited By ~ 2

Author(s):

Jeong Ja Bae ◽

Jong Yeoul Park ◽

Jin Mun Jeong

Keyword(s):

Wave Equation ◽

Nonlinear Boundary ◽

Source Term ◽

Uniform Decay ◽

Boundary Damping ◽

Kirchhoff Type ◽

Memory Source ◽

Decay Of Solutions

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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 Solvability and Asymptotic Stability for the Wave Equation with Nonlinear Boundary Damping and Source Term

Progress in Nonlinear Differential Equations and Their Applications - Contributions to Nonlinear Analysis ◽

10.1007/3-7643-7401-2_11 ◽

2005 ◽

pp. 161-184 ◽

Cited By ~ 5

Author(s):

M.M. Cavalcanti ◽

V.N. Domingos Cavalcanti ◽

J.A. Soriano

Keyword(s):

Wave Equation ◽

Asymptotic Stability ◽

Nonlinear Boundary ◽

Source Term ◽

Global Solvability ◽

Boundary Damping

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EXISTENCE AND UNIFORM DECAY OF THE WAVE EQUATION WITH NONLINEAR BOUNDARY DAMPING AND BOUNDARY MEMORY SOURCE TERM

Progress in Analysis ◽

10.1142/9789812794253_0147 ◽

2003 ◽

Cited By ~ 1

Author(s):

MARCELO MOREIRA CAVALCANTI

Keyword(s):

Wave Equation ◽

Nonlinear Boundary ◽

Source Term ◽

Uniform Decay ◽

Boundary Damping ◽

Memory Source

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Existence of Solutions for the Kirchhoff-Type Wave Equation with Memory Term and Acoustic Boundary Conditions

Numerical Functional Analysis and Optimization ◽

10.1080/01630563.2010.498301 ◽

2010 ◽

Vol 31 (8) ◽

pp. 921-935 ◽

Cited By ~ 4

Author(s):

Tae Gab Ha ◽

Jong Yeoul Park

Keyword(s):

Wave Equation ◽

Boundary Conditions ◽

Existence Of Solutions ◽

Memory Term ◽

Acoustic Boundary Conditions ◽

Kirchhoff Type ◽

Type Wave ◽

With Memory

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Existence and uniform decay of the wave equation with nonlinear boundary damping and boundary memory source term

Calculus of Variations and Partial Differential Equations ◽

10.1007/s005260100096 ◽

2002 ◽

Vol 15 (2) ◽

pp. 155-180 ◽

Cited By ~ 69

Author(s):

M. Aassila ◽

M.M. Cavalcanti ◽

V.N. Domingos Cavalcanti

Keyword(s):

Wave Equation ◽

Nonlinear Boundary ◽

Source Term ◽

Uniform Decay ◽

Boundary Damping ◽

Memory Source

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Uniform boundary stabilization of a wave equation with nonlinear acoustic boundary conditions and nonlinear boundary damping

Journal of Evolution Equations ◽

10.1007/s00028-011-0127-x ◽

2011 ◽

Vol 12 (1) ◽

pp. 141-164 ◽

Cited By ~ 12

Author(s):

P. Jameson Graber

Keyword(s):

Wave Equation ◽

Boundary Conditions ◽

Nonlinear Boundary ◽

Boundary Stabilization ◽

Acoustic Boundary Conditions ◽

Boundary Damping ◽

Nonlinear Acoustic

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