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On the dimension of the attractor for the wave equation with nonlinear damping
1.  Department of Mathematical Analysis, Charles University, Prague, Sokolovská 83, 186 75 Prague 8, Czech Republic 
[1] 
Biyue Chen, Chunxiang Zhao, Chengkui Zhong. The global attractor for the wave equation with nonlocal strong damping. Discrete & Continuous Dynamical Systems  B, 2021 doi: 10.3934/dcdsb.2021015 
[2] 
Shengfan Zhou, Min Zhao. Fractal dimension of random attractor for stochastic nonautonomous damped wave equation with linear multiplicative white noise. Discrete & Continuous Dynamical Systems, 2016, 36 (5) : 28872914. doi: 10.3934/dcds.2016.36.2887 
[3] 
Dalibor Pražák. Exponential attractor for the delayed logistic equation with a nonlinear diffusion. Conference Publications, 2003, 2003 (Special) : 717726. doi: 10.3934/proc.2003.2003.717 
[4] 
Nikos I. Karachalios, Nikos M. Stavrakakis. Estimates on the dimension of a global attractor for a semilinear dissipative wave equation on $\mathbb R^N$. Discrete & Continuous Dynamical Systems, 2002, 8 (4) : 939951. doi: 10.3934/dcds.2002.8.939 
[5] 
Zhiming Liu, Zhijian Yang. Global attractor of multivalued operators with applications to a strongly damped nonlinear wave equation without uniqueness. Discrete & Continuous Dynamical Systems  B, 2020, 25 (1) : 223240. doi: 10.3934/dcdsb.2019179 
[6] 
Francesca Bucci, Igor Chueshov, Irena Lasiecka. Global attractor for a composite system of nonlinear wave and plate equations. Communications on Pure & Applied Analysis, 2007, 6 (1) : 113140. doi: 10.3934/cpaa.2007.6.113 
[7] 
Brahim Alouini. Global attractor for a one dimensional weakly damped halfwave equation. Discrete & Continuous Dynamical Systems  S, 2020 doi: 10.3934/dcdss.2020410 
[8] 
Zhijian Yang, Zhiming Liu. Global attractor for a strongly damped wave equation with fully supercritical nonlinearities. Discrete & Continuous Dynamical Systems, 2017, 37 (4) : 21812205. doi: 10.3934/dcds.2017094 
[9] 
Jiacheng Wang, PengFei Yao. On the attractor for a semilinear wave equation with variable coefficients and nonlinear boundary dissipation. Communications on Pure & Applied Analysis, , () : . doi: 10.3934/cpaa.2021043 
[10] 
Wided Kechiche. Regularity of the global attractor for a nonlinear Schrödinger equation with a point defect. Communications on Pure & Applied Analysis, 2017, 16 (4) : 12331252. doi: 10.3934/cpaa.2017060 
[11] 
Wided Kechiche. Global attractor for a nonlinear Schrödinger equation with a nonlinearity concentrated in one point. Discrete & Continuous Dynamical Systems  S, 2021 doi: 10.3934/dcdss.2021031 
[12] 
Zhaojuan Wang, Shengfan Zhou. Random attractor and random exponential attractor for stochastic nonautonomous damped cubic wave equation with linear multiplicative white noise. Discrete & Continuous Dynamical Systems, 2018, 38 (9) : 47674817. doi: 10.3934/dcds.2018210 
[13] 
Xingni Tan, Fuqi Yin, Guihong Fan. Random exponential attractor for stochastic discrete long waveshort wave resonance equation with multiplicative white noise. Discrete & Continuous Dynamical Systems  B, 2020, 25 (8) : 31533170. doi: 10.3934/dcdsb.2020055 
[14] 
Delin Wu and Chengkui Zhong. Estimates on the dimension of an attractor for a nonclassical hyperbolic equation. Electronic Research Announcements, 2006, 12: 6370. 
[15] 
Chunxiang Zhao, Chunyan Zhao, Chengkui Zhong. The global attractor for a class of extensible beams with nonlocal weak damping. Discrete & Continuous Dynamical Systems  B, 2020, 25 (3) : 935955. doi: 10.3934/dcdsb.2019197 
[16] 
Abdelghafour Atlas. Regularity of the attractor for symmetric regularized wave equation. Communications on Pure & Applied Analysis, 2005, 4 (4) : 695704. doi: 10.3934/cpaa.2005.4.695 
[17] 
Cedric Galusinski, Serguei Zelik. Uniform Gevrey regularity for the attractor of a damped wave equation. Conference Publications, 2003, 2003 (Special) : 305312. doi: 10.3934/proc.2003.2003.305 
[18] 
Mohammad A. Rammaha, Daniel Toundykov, Zahava Wilstein. Global existence and decay of energy for a nonlinear wave equation with $p$Laplacian damping. Discrete & Continuous Dynamical Systems, 2012, 32 (12) : 43614390. doi: 10.3934/dcds.2012.32.4361 
[19] 
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 
[20] 
Jianhua Huang, Yanbin Tang, Ming Wang. Singular support of the global attractor for a damped BBM equation. Discrete & Continuous Dynamical Systems  B, 2021, 26 (10) : 53215335. doi: 10.3934/dcdsb.2020345 
2019 Impact Factor: 1.105
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