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Applicable Analysis
An International Journal
Volume 92, 2013 - Issue 6
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Articles

Blow-up of solutions to systems of nonlinear wave equations with supercritical sources

Yanqiu Guo Department of Mathematics, University of Nebraska-Lincoln, Lincoln, NE, 68588, USA
&
Mohammad A. Rammaha Department of Mathematics, University of Nebraska-Lincoln, Lincoln, NE, 68588, USACorrespondence[email protected]
Pages 1101-1115 | Received 06 Aug 2011, Accepted 11 Dec 2011, Published online: 20 Jan 2012

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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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Mohammad Kafini & Salim Messaoudi. (2020) Local existence and blow up of solutions to a logarithmic nonlinear wave equation with delay. Applicable Analysis 99:3, pages 530-547.
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Articles from other publishers (15)

Baowei Feng, Yanqiu Guo & Mohammad A. Rammaha. (2024) Blow-up theorems for a structural acoustics model. Journal of Mathematical Analysis and Applications 529:1, pages 127600.
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Abdeldjabar Bourega & Djamel Ouchenane. (2023) Global nonexistence of solutions to a logarithmic nonlinear wave equation with in nite memory and delay term. Studia Universitatis Babes-Bolyai Matematica 68:4, pages 837-858.
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Radhouane Aounallah, Abbes Benaissa & Abderrahmane Zaraï. (2020) Blow-up and asymptotic behavior for a wave equation with a time delay condition of fractional type. Rendiconti del Circolo Matematico di Palermo Series 2 70:2, pages 1061-1081.
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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.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. (2019) Global well-posedness for nonlinear wave equations with supercritical source and damping terms. Journal of Mathematical Analysis and Applications 477:2, pages 1087-1113.
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Nicholas J. Kass & Mohammad A. Rammaha. (2019) On wave equations of the -Laplacian type with supercritical nonlinearities . Nonlinear Analysis 183, pages 70-101.
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Yanqiu Guo, Mohammad A. Rammaha & Sawanya Sakuntasathien. (2018) Energy decay of a viscoelastic wave equation with supercritical nonlinearities. Zeitschrift für angewandte Mathematik und Physik 69:3.
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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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Mohammad Kafini & Salim A. Messaoudi. (2014) A Blow-Up Result in a Nonlinear Wave Equation with Delay. Mediterranean Journal of Mathematics 13:1, pages 237-247.
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Tae Gab Ha. (2015) Blow-up for wave equation with weak boundary damping and source terms. Applied Mathematics Letters 49, pages 166-172.
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Pei Pei, Mohammad A. Rammaha & Daniel Toundykov. (2015) Weak solutions and blow-up for wave equations of p -Laplacian type with supercritical sources . Journal of Mathematical Physics 56:8.
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Yanqiu Guo, Mohammad A. Rammaha, Sawanya Sakuntasathien, Edriss S. Titi & Daniel Toundykov. (2014) Hadamard well-posedness for a hyperbolic equation of viscoelasticity with supercritical sources and damping. Journal of Differential Equations 257:10, pages 3778-3812.
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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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