The global solvability and asymptotic behavior of a transmission problem for Kirchhoff‐type wave equations with memory source on the boundary

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.5722 ◽

2019 ◽

Vol 42 (18) ◽

pp. 6284-6300

Author(s):

Zhiqing Liu ◽

Zhong Bo Fang

Keyword(s):

Asymptotic Behavior ◽

Wave Equations ◽

Global Solvability ◽

Transmission Problem ◽

Kirchhoff Type ◽

Type Wave ◽

Memory Source ◽

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Stability of a transmission problem for Kirchhoff-type wave equations with memory on the boundary

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.4242 ◽

2016 ◽

Vol 40 (10) ◽

pp. 3528-3537 ◽

Author(s):

Sun-Hye Park

Keyword(s):

Wave Equations ◽

Transmission Problem ◽

Kirchhoff Type ◽

Type Wave ◽

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Global solvability and general decay of a transmission problem for kirchhoff-type wave equations with nonlinear damping and delay term

Communications on Pure & Applied Analysis ◽

10.3934/cpaa.2020043 ◽

2020 ◽

Vol 19 (2) ◽

pp. 941-966

Author(s):

Zhiqing Liu ◽

◽

Zhong Bo Fang

Keyword(s):

Wave Equations ◽

Global Solvability ◽

Nonlinear Damping ◽

General Decay ◽

Transmission Problem ◽

Kirchhoff Type ◽

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General decay of a transmission problem for kirchhoff type wave equations with boundary memory condition

Acta Mathematica Scientia ◽

10.1016/s0252-9602(14)60091-6 ◽

2014 ◽

Vol 34 (5) ◽

pp. 1395-1403 ◽

Author(s):

Sun Hye PARK

Keyword(s):

Wave Equations ◽

General Decay ◽

Transmission Problem ◽

Memory Condition ◽

Kirchhoff Type ◽

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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 ◽

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 ◽

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Uniform decay for the unilateral problem associated to the Kirchhoff type wave equations with nonlinear boundary damping

Applied Mathematics and Computation ◽

10.1016/j.amc.2003.07.003 ◽

2004 ◽

Vol 156 (1) ◽

pp. 41-57 ◽

Author(s):

Jeong Ja Bae

Keyword(s):

Wave Equations ◽

Nonlinear Boundary ◽

Uniform Decay ◽

Boundary Damping ◽

Unilateral Problem ◽

Kirchhoff Type ◽

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On transmission problem for kirchhoff type wave equation with a localized nonlinear dissipation in bounded domain

Acta Mathematica Scientia ◽

10.1016/s0252-9602(12)60068-x ◽

2012 ◽

Vol 32 (3) ◽

pp. 893-906 ◽

Author(s):

Jeong Ja Bae

Keyword(s):

Wave Equation ◽

Bounded Domain ◽

Transmission Problem ◽

Nonlinear Dissipation ◽

Kirchhoff Type ◽

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Blow up and asymptotic behavior for a system of viscoelastic wave equations of Kirchhoff type with a delay term

Advances in the Theory of Nonlinear Analysis and its Application ◽

10.31197/atnaa.389864 ◽

2018 ◽

pp. 146-167

Author(s):

HAKEM ALI ◽

MAHDI FATIMA ZOHRA ◽

FERHAT MOHAMED

Keyword(s):

Asymptotic Behavior ◽

Wave Equations ◽

Blow Up ◽

Kirchhoff Type ◽

Viscoelastic Wave

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Blow up and asymptotic behavior for a system of viscoelastic wave equations of Kirchhoff type with a delay term

Advances in the Theory of Nonlinear Analysis and its Application ◽

10.31197/atnaa.389865 ◽

2018 ◽

Vol 2 (3) ◽

pp. 146-167

Author(s):

Hakem Ali ◽

Mahdi Fatima Zohra ◽

Ferhat Mohamed

Keyword(s):

Asymptotic Behavior ◽

Wave Equations ◽

Blow Up ◽

Kirchhoff Type ◽

Viscoelastic Wave

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Global solvability and asymptotic behavior for a nonlinear coupled system of viscoelastic waves with memory in a noncylindrical domain

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2006.02.022 ◽

2007 ◽

Vol 325 (2) ◽

pp. 1077-1094 ◽

Author(s):

M.L. Santos ◽

M.P.C. Rocha ◽

P.L.O. Braga

Keyword(s):

Asymptotic Behavior ◽

Coupled System ◽

Global Solvability ◽

Noncylindrical Domain ◽

Viscoelastic Waves ◽

Nonlinear Coupled System ◽

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Asymptotic behavior of solutions for nonlinear wave equations of Kirchhoff type with a positive–negative damping

Applied Mathematics Letters ◽

10.1016/j.aml.2012.03.022 ◽

2012 ◽

Vol 25 (7) ◽

pp. 1082-1086 ◽

Author(s):

Shun-Tang Wu

Keyword(s):

Asymptotic Behavior ◽

Nonlinear Wave ◽

Wave Equations ◽

Nonlinear Wave Equations ◽

Asymptotic Behavior Of Solutions ◽

Kirchhoff Type ◽

Negative Damping

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