Existence and uniform decay estimates for the fourth order wave equation with nonlinear boundary damping and interior source

Huafei Di;  ; Yadong Shang; Jiali Yu;

doi:10.3934/era.2020015

Existence and uniform decay estimates for the fourth order wave equation with nonlinear boundary damping and interior source

Electronic Research Archive ◽

10.3934/era.2020015 ◽

2020 ◽

Vol 28 (1) ◽

pp. 221-261

Author(s):

Huafei Di ◽

◽

Yadong Shang ◽

Jiali Yu ◽

Keyword(s):

Wave Equation ◽

Fourth Order ◽

Nonlinear Boundary ◽

Decay Estimates ◽

Uniform Decay ◽

Boundary Damping ◽

Fourth Order Wave Equation

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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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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 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 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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Two conservative and linearly-implicit compact difference schemes for the nonlinear fourth-order wave equation

Applied Mathematics and Computation ◽

10.1016/j.amc.2021.126055 ◽

2021 ◽

Vol 401 ◽

pp. 126055

Author(s):

Gengen Zhang

Keyword(s):

Wave Equation ◽

Fourth Order ◽

Difference Schemes ◽

Compact Difference Schemes ◽

Compact Difference ◽

Fourth Order Wave Equation

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Global existence and uniform decay for wave equation with dissipative term and boundary damping

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2009.09.008 ◽

2010 ◽

Vol 59 (2) ◽

pp. 1003-1018 ◽

Cited By ~ 22

Author(s):

Zai-yun Zhang ◽

Xiu-jin Miao

Keyword(s):

Wave Equation ◽

Global Existence ◽

Uniform Decay ◽

Boundary Damping ◽

Dissipative Term

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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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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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Fourth order wave equation with nonlinear strain and logarithmic nonlinearity

Applied Numerical Mathematics ◽

10.1016/j.apnum.2018.06.004 ◽

2019 ◽

Vol 141 ◽

pp. 185-205 ◽

Cited By ~ 5

Author(s):

Runzhang Xu ◽

Wei Lian ◽

Xiangkun Kong ◽

Yanbing Yang

Keyword(s):

Wave Equation ◽

Fourth Order ◽

Nonlinear Strain ◽

Fourth Order Wave Equation

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