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Global solutions to the Cauchy problem for the weakly coupled system of damped wave equations
1.  Hiratsuka, Kanagawa, 2591292, Japan 
[1] 
Marcello D'Abbicco. A note on a weakly coupled system of structurally damped waves. Conference Publications, 2015, 2015 (special) : 320329. doi: 10.3934/proc.2015.0320 
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Felipe Linares, M. Panthee. On the Cauchy problem for a coupled system of KdV equations. Communications on Pure and Applied Analysis, 2004, 3 (3) : 417431. doi: 10.3934/cpaa.2004.3.417 
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Yang Han. On the cauchy problem for the coupled Klein Gordon Schrödinger system with rough data. Discrete and Continuous Dynamical Systems, 2005, 12 (2) : 233242. doi: 10.3934/dcds.2005.12.233 
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Xinyu Mei, Chunyou Sun. Attractors for A supcubic weakly damped wave equation in $ \mathbb{R}^{3} $. Discrete and Continuous Dynamical Systems  B, 2019, 24 (8) : 41174143. doi: 10.3934/dcdsb.2019053 
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[10] 
Fengjuan Meng, Chengkui Zhong. Multiple equilibrium points in global attractor for the weakly damped wave equation with critical exponent. Discrete and Continuous Dynamical Systems  B, 2014, 19 (1) : 217230. doi: 10.3934/dcdsb.2014.19.217 
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Hui Yang, Yuzhu Han. Initial boundary value problem for a strongly damped wave equation with a general nonlinearity. Evolution Equations and Control Theory, 2022, 11 (3) : 635648. doi: 10.3934/eect.2021019 
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V. Pata, Sergey Zelik. A remark on the damped wave equation. Communications on Pure and Applied Analysis, 2006, 5 (3) : 611616. doi: 10.3934/cpaa.2006.5.611 
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V. Varlamov, Yue Liu. Cauchy problem for the Ostrovsky equation. Discrete and Continuous Dynamical Systems, 2004, 10 (3) : 731753. doi: 10.3934/dcds.2004.10.731 
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Adrien Dekkers, Anna RozanovaPierrat. Cauchy problem for the Kuznetsov equation. Discrete and Continuous Dynamical Systems, 2019, 39 (1) : 277307. doi: 10.3934/dcds.2019012 
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Renjun Duan, Shuangqian Liu. Cauchy problem on the VlasovFokkerPlanck equation coupled with the compressible Euler equations through the friction force. Kinetic and Related Models, 2013, 6 (4) : 687700. doi: 10.3934/krm.2013.6.687 
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Jeong Ja Bae, Mitsuhiro Nakao. Existence problem for the Kirchhoff type wave equation with a localized weakly nonlinear dissipation in exterior domains. Discrete and Continuous Dynamical Systems, 2004, 11 (2&3) : 731743. doi: 10.3934/dcds.2004.11.731 
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Huijun He, Zhaoyang Yin. On the Cauchy problem for a generalized twocomponent shallow water wave system with fractional higherorder inertia operators. Discrete and Continuous Dynamical Systems, 2017, 37 (3) : 15091537. doi: 10.3934/dcds.2017062 
[19] 
Lorena Bociu, Petronela Radu. Existence of weak solutions to the Cauchy problem of a semilinear wave equation with supercritical interior source and damping. Conference Publications, 2009, 2009 (Special) : 6071. doi: 10.3934/proc.2009.2009.60 
[20] 
Mohammad Kafini. On the blowup of the Cauchy problem of higherorder nonlinear viscoelastic wave equation. Discrete and Continuous Dynamical Systems  S, 2022, 15 (5) : 12211232. doi: 10.3934/dcdss.2021093 
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