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Applicable Analysis
An International Journal
Volume 89, 2010 - Issue 8
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Original Articles

Critically and degenerately damped systems of nonlinear wave equations with source terms

Mohammad A. Rammaha Department of Mathematics, University of Nebraska-Lincoln, Lincoln, NE 68588-0130, USACorrespondence[email protected]
&
Sawanya Sakuntasathien Mathematics Department, Faculty of Science, Silpakorn University, Nakhonpathom, Thailand
Pages 1201-1227 | Received 20 Oct 2009, Accepted 16 Mar 2010, Published online: 08 Jul 2010

Citations (10)

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Read on this site (2)

M. J. Dos Santos, M. M. Freitas, A. J. A. Ramos & D. S. Almeida Júnior. (2022) Asymptotic analysis and upper semicontinuity to a system of coupled nonlinear wave equations. Dynamical Systems 37:1, pages 29-55.
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Yanqiu Guo & Mohammad A. Rammaha. (2013) Blow-up of solutions to systems of nonlinear wave equations with supercritical sources. Applicable Analysis 92:6, pages 1101-1115.
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Articles from other publishers (8)

Donghao Li, Hongwei Zhang, Shuo Liu & Qingiyng Hu. (2022) Blow-up of solutions to a viscoelastic wave equation with nonlocal damping. Evolution Equations and Control Theory 11:6, pages 2017.
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M. M. Freitas, M. J. Dos Santos, A. J. A. Ramos, M. S. Vinhote & M. L. Santos. (2021) Quasi-stability and continuity of attractors for nonlinear system of wave equations. Nonautonomous Dynamical Systems 8:1, pages 27-45.
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Andrew R. Becklin & Mohammad A. Rammaha. (2020) Global solutions to a structure acoustic interaction model with nonlinear sources. Journal of Mathematical Analysis and Applications 487:2, pages 123977.
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M. J. Dos Santos, M. M. Freitas, A. J. A. Ramos, D. S. Almeida Júnior & L. R. S. Rodrigues. (2020) Long-time dynamics of a nonlinear Timoshenko beam with discrete delay term and nonlinear damping. Journal of Mathematical Physics 61:6.
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M.L. Santos, M.M. Freitas & A.J.A. Ramos. (2020) Blow-up result and energy decay rates for binary mixtures of solids with nonlinear damping and source terms. Nonlinear Analysis: Real World Applications 52, pages 103026.
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Yanqiu Guo, Mohammad A. Rammaha & Sawanya Sakuntasathien. (2017) Blow-up of a hyperbolic equation of viscoelasticity with supercritical nonlinearities. Journal of Differential Equations 262:3, pages 1956-1979.
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Xiaoli Jiang & Xiaofeng Wang. (2017) Global Well-Posedness for a Class of Kirchhoff-Type Wave System. Advances in Mathematical Physics 2017, pages 1-18.
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Yanqiu Guo & Mohammad A. Rammaha. (2012) Global existence and decay of energy to systems of wave equations with damping and supercritical sources. Zeitschrift für angewandte Mathematik und Physik 64:3, pages 621-658.
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