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Applicable Analysis
An International Journal
Volume 92, 2013 - Issue 1
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Articles

Global well-posedness for strongly damped viscoelastic wave equation

Runzhang Xu College of Science, Harbin Engineering University, 150001, People's Republic of ChinaCorrespondence[email protected]
,
Yanbing Yang College of Science, Harbin Engineering University, 150001, People's Republic of China
&
Yacheng Liu College of Science, Harbin Engineering University, 150001, People's Republic of China
Pages 138-157 | Received 01 Apr 2011, Accepted 25 Jun 2011, Published online: 21 Jul 2011

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Luofei He. (2021) On decay and blow-up of solutions for a system of equations. Applicable Analysis 100:11, pages 2449-2477.
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Fenglong Sun, Lishan Liu & Yonghong Wu. (2019) Blow-up of solutions for a nonlinear viscoelastic wave equation with initial data at arbitrary energy level. Applicable Analysis 98:12, pages 2308-2327.
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Fenglong Sun, Lishan Liu & Yonghong Wu. (2019) Global existence and finite time blow-up of solutions for the semilinear pseudo-parabolic equation with a memory term. Applicable Analysis 98:4, pages 735-755.
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Articles from other publishers (16)

Jiali Yu & Huafei Di. (2023) Variable-coefficient viscoelastic wave equation with acoustic boundary conditions: global existence, blowup and energy decay rates. Banach Journal of Mathematical Analysis 17:4.
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Yang Liu & Li Zhang. (2022) Initial Boundary Value Problem for a Fractional Viscoelastic Equation of the Kirchhoff Type. Fractal and Fractional 6:10, pages 581.
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Jorge A. Esquivel-Avila. (2021) Nonexistence of global solutions for damped abstract wave equations with memory. Journal of Physics: Conference Series 2090:1, pages 012117.
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Jorge A. Esquivel-Avila. (2021) Nonexistence of global solutions for a class of viscoelastic wave equations. Discrete & Continuous Dynamical Systems - S 14:12, pages 4213.
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Mingqi Xiang & Die Hu. (2021) Existence and blow-up of solutions for fractional wave equations of Kirchhoff type with viscoelasticity. Discrete & Continuous Dynamical Systems - S 14:12, pages 4609.
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Jiali Yu, Yadong Shang & Huafei Di. (2020) Global existence, nonexistence, and decay of solutions for a viscoelastic wave equation with nonlinear boundary damping and source terms. Journal of Mathematical Physics 61:7.
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Yu Wang, Furong Wu & Yanbing Yang. (2020) Arbitrarily positive initial energy blowup and blowup time for some fourth-order viscous wave equation. Nonlinear Analysis 196, pages 111776.
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Luofei He. (2019) On Decay of Solutions for a System of Coupled Viscoelastic Equations. Acta Applicandae Mathematicae 167:1, pages 171-198.
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Huafei Di, Yadong Shang & Jiali Yu. (2020) Existence and uniform decay estimates for the fourth order wave equation with nonlinear boundary damping and interior source. Electronic Research Archive 28:1, pages 221-261.
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Jiali Yu, Yadong Shang & Huafei Di. (2019) Global Nonexistence for A Viscoelastic Wave Equation with Acoustic Boundary Conditions. Acta Mathematica Scientia 40:1, pages 155-169.
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Amir Peyravi. (2017) General decay and blow up of solutions for a system of viscoelastic wave equations with nonlinear boundary source terms. Journal of Mathematical Analysis and Applications 451:2, pages 1056-1076.
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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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Huafei Di, Yadong Shang & Xiaoming Peng. (2016) Global existence and nonexistence of solutions for a viscoelastic wave equation with nonlinear boundary source term. Mathematische Nachrichten 289:11-12, pages 1408-1432.
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Mohammad Kafini & Muhammad I. Mustafa. (2014) Blow-up result in a Cauchy viscoelastic problem with strong damping and dispersive. Nonlinear Analysis: Real World Applications 20, pages 14-20.
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Haitao Song & Desheng Xue. (2014) Blow up in a nonlinear viscoelastic wave equation with strong damping. Nonlinear Analysis: Theory, Methods & Applications 109, pages 245-251.
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Gang Li, Yun Sun & Wenjun Liu. (2013) On Asymptotic Behavior and Blow-Up of Solutions for a Nonlinear Viscoelastic Petrovsky Equation with Positive Initial Energy. Journal of Function Spaces and Applications 2013, pages 1-7.
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