Parabolic singular limit of a wave equation with localized boundary damping

Aníbal Rodríguez-Bernal;  ; Enrique Zuazua

doi:10.3934/dcds.1995.1.303

Parabolic singular limit of a wave equation with localized boundary damping

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.1995.1.303 ◽

1995 ◽

Vol 1 (3) ◽

pp. 303-346 ◽

Cited By ~ 13

Author(s):

Aníbal Rodríguez-Bernal ◽

◽

Enrique Zuazua

Keyword(s):

Wave Equation ◽

Singular Limit ◽

Boundary Damping

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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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The complete infinite series solution of systems governed by the wave equation with boundary damping

Wave Motion ◽

10.1016/j.wavemoti.2013.06.011 ◽

2014 ◽

Vol 51 (1) ◽

pp. 114-124 ◽

Cited By ~ 2

Author(s):

Lea Sirota ◽

Yoram Halevi

Keyword(s):

Wave Equation ◽

Infinite Series ◽

Series Solution ◽

Boundary Damping

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PARABOLIC SINGULAR LIMIT OF A WAVE EQUATION WITH LOCALIZED INTERIOR DAMPING

Communications in Contemporary Mathematics ◽

10.1142/s0219199701000330 ◽

2001 ◽

Vol 03 (02) ◽

pp. 215-257 ◽

Cited By ~ 1

Author(s):

ANÍBAL RODRÍGUEZ-BERNAL ◽

ENRIQUE ZUAZUA

Keyword(s):

Wave Equation ◽

Singular Limit

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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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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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Energy decay rates for solutions of the wave equation with boundary damping and source term

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/s00033-009-0009-z ◽

2009 ◽

Vol 61 (2) ◽

pp. 235-265 ◽

Cited By ~ 8

Author(s):

Jong Yeoul Park ◽

Tae Gab Ha ◽

Yong Han Kang

Keyword(s):

Wave Equation ◽

Source Term ◽

Energy Decay ◽

Decay Rates ◽

Boundary Damping ◽

Energy Decay Rates

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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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