
Previous Article
Compressible NavierStokes equations
 PROC Home
 This Issue

Next Article
Elliptic Quasivariational inequalities and applications
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 
[2] 
Felipe Linares, M. Panthee. On the Cauchy problem for a coupled system of KdV equations. Communications on Pure & Applied Analysis, 2004, 3 (3) : 417431. doi: 10.3934/cpaa.2004.3.417 
[3] 
Brahim Alouini. Global attractor for a one dimensional weakly damped halfwave equation. Discrete & Continuous Dynamical Systems  S, 2020 doi: 10.3934/dcdss.2020410 
[4] 
Xinyu Mei, Yangmin Xiong, Chunyou Sun. Pullback attractor for a weakly damped wave equation with supcubic nonlinearity. Discrete & Continuous Dynamical Systems  A, 2020 doi: 10.3934/dcds.2020270 
[5] 
Bopeng Rao, Zhuangyi Liu. A spectral approach to the indirect boundary control of a system of weakly coupled wave equations. Discrete & Continuous Dynamical Systems  A, 2009, 23 (1&2) : 399414. doi: 10.3934/dcds.2009.23.399 
[6] 
Farah Abdallah, Mouhammad Ghader, Ali Wehbe, Yacine Chitour. Optimal indirect stability of a weakly damped elastic abstract system of second order equations coupled by velocities. Communications on Pure & Applied Analysis, 2019, 18 (5) : 27892818. doi: 10.3934/cpaa.2019125 
[7] 
Yang Han. On the cauchy problem for the coupled Klein Gordon Schrödinger system with rough data. Discrete & Continuous Dynamical Systems  A, 2005, 12 (2) : 233242. doi: 10.3934/dcds.2005.12.233 
[8] 
Xinyu Mei, Chunyou Sun. Attractors for A supcubic weakly damped wave equation in $ \mathbb{R}^{3} $. Discrete & Continuous Dynamical Systems  B, 2019, 24 (8) : 41174143. doi: 10.3934/dcdsb.2019053 
[9] 
Yanbing Yang, Runzhang Xu. Nonlinear wave equation with both strongly and weakly damped terms: Supercritical initial energy finite time blow up. Communications on Pure & Applied Analysis, 2019, 18 (3) : 13511358. doi: 10.3934/cpaa.2019065 
[10] 
Fengjuan Meng, Chengkui Zhong. Multiple equilibrium points in global attractor for the weakly damped wave equation with critical exponent. Discrete & Continuous Dynamical Systems  B, 2014, 19 (1) : 217230. doi: 10.3934/dcdsb.2014.19.217 
[11] 
Kaixuan Zhu, Yongqin Xie, Xinyu Mei. Pullback attractors for a weakly damped wave equation with delays and supcubic nonlinearity. Discrete & Continuous Dynamical Systems  B, 2020 doi: 10.3934/dcdsb.2020294 
[12] 
V. Pata, Sergey Zelik. A remark on the damped wave equation. Communications on Pure & Applied Analysis, 2006, 5 (3) : 611616. doi: 10.3934/cpaa.2006.5.611 
[13] 
V. Varlamov, Yue Liu. Cauchy problem for the Ostrovsky equation. Discrete & Continuous Dynamical Systems  A, 2004, 10 (3) : 731753. doi: 10.3934/dcds.2004.10.731 
[14] 
Adrien Dekkers, Anna RozanovaPierrat. Cauchy problem for the Kuznetsov equation. Discrete & Continuous Dynamical Systems  A, 2019, 39 (1) : 277307. doi: 10.3934/dcds.2019012 
[15] 
Renjun Duan, Shuangqian Liu. Cauchy problem on the VlasovFokkerPlanck equation coupled with the compressible Euler equations through the friction force. Kinetic & Related Models, 2013, 6 (4) : 687700. doi: 10.3934/krm.2013.6.687 
[16] 
Jeong Ja Bae, Mitsuhiro Nakao. Existence problem for the Kirchhoff type wave equation with a localized weakly nonlinear dissipation in exterior domains. Discrete & Continuous Dynamical Systems  A, 2004, 11 (2&3) : 731743. doi: 10.3934/dcds.2004.11.731 
[17] 
Huijun He, Zhaoyang Yin. On the Cauchy problem for a generalized twocomponent shallow water wave system with fractional higherorder inertia operators. Discrete & Continuous Dynamical Systems  A, 2017, 37 (3) : 15091537. doi: 10.3934/dcds.2017062 
[18] 
Olivier Goubet, Ezzeddine Zahrouni. On a time discretization of a weakly damped forced nonlinear Schrödinger equation. Communications on Pure & Applied Analysis, 2008, 7 (6) : 14291442. doi: 10.3934/cpaa.2008.7.1429 
[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] 
Masahiro Ikeda, Takahisa Inui, Mamoru Okamoto, Yuta Wakasugi. $ L^p $$ L^q $ estimates for the damped wave equation and the critical exponent for the nonlinear problem with slowly decaying data. Communications on Pure & Applied Analysis, 2019, 18 (4) : 19672008. doi: 10.3934/cpaa.2019090 
Impact Factor:
Tools
Metrics
Other articles
by authors
[Back to Top]