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Existence of solutions for a class of edge wave equations
On a Burgers' type equation
1.  Department of Mathematics, Indiana University, Bloomington, IN 47405, United States 
2.  Department of Mathematics, Florida State University, Tallahassee, FL32306, United States 
[1] 
JeanFrançois Rault. A bifurcation for a generalized Burgers' equation in dimension one. Discrete and Continuous Dynamical Systems  S, 2012, 5 (3) : 683706. doi: 10.3934/dcdss.2012.5.683 
[2] 
Delin Wu and Chengkui Zhong. Estimates on the dimension of an attractor for a nonclassical hyperbolic equation. Electronic Research Announcements, 2006, 12: 6370. 
[3] 
Dalibor Pražák. On the dimension of the attractor for the wave equation with nonlinear damping. Communications on Pure and Applied Analysis, 2005, 4 (1) : 165174. doi: 10.3934/cpaa.2005.4.165 
[4] 
Mostafa Abounouh, Olivier Goubet. Regularity of the attractor for kp1Burgers equation: the periodic case. Communications on Pure and Applied Analysis, 2004, 3 (2) : 237252. doi: 10.3934/cpaa.2004.3.237 
[5] 
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 and Continuous Dynamical Systems, 2002, 8 (4) : 939951. doi: 10.3934/dcds.2002.8.939 
[6] 
Jianhua Huang, Yanbin Tang, Ming Wang. Singular support of the global attractor for a damped BBM equation. Discrete and Continuous Dynamical Systems  B, 2021, 26 (10) : 53215335. doi: 10.3934/dcdsb.2020345 
[7] 
Biyue Chen, Chunxiang Zhao, Chengkui Zhong. The global attractor for the wave equation with nonlocal strong damping. Discrete and Continuous Dynamical Systems  B, 2021, 26 (12) : 62076228. doi: 10.3934/dcdsb.2021015 
[8] 
Aslihan Demirkaya. The existence of a global attractor for a KuramotoSivashinsky type equation in 2D. Conference Publications, 2009, 2009 (Special) : 198207. doi: 10.3934/proc.2009.2009.198 
[9] 
Brahim Alouini. Finite dimensional global attractor for a damped fractional anisotropic Schrödinger type equation with harmonic potential. Communications on Pure and Applied Analysis, 2020, 19 (9) : 45454573. doi: 10.3934/cpaa.2020206 
[10] 
Marilena N. Poulou, Nikolaos M. Stavrakakis. Global attractor for a KleinGordonSchrodinger type system. Conference Publications, 2007, 2007 (Special) : 844854. doi: 10.3934/proc.2007.2007.844 
[11] 
María Astudillo, Marcelo M. Cavalcanti. On the upper semicontinuity of the global attractor for a porous medium type problem with large diffusion. Evolution Equations and Control Theory, 2017, 6 (1) : 113. doi: 10.3934/eect.2017001 
[12] 
Moncef Aouadi, Alain Miranville. Quasistability and global attractor in nonlinear thermoelastic diffusion plate with memory. Evolution Equations and Control Theory, 2015, 4 (3) : 241263. doi: 10.3934/eect.2015.4.241 
[13] 
Milena Stanislavova. On the global attractor for the damped BenjaminBonaMahony equation. Conference Publications, 2005, 2005 (Special) : 824832. doi: 10.3934/proc.2005.2005.824 
[14] 
Wided Kechiche. Regularity of the global attractor for a nonlinear Schrödinger equation with a point defect. Communications on Pure and Applied Analysis, 2017, 16 (4) : 12331252. doi: 10.3934/cpaa.2017060 
[15] 
Zhijian Yang, Zhiming Liu. Global attractor for a strongly damped wave equation with fully supercritical nonlinearities. Discrete and Continuous Dynamical Systems, 2017, 37 (4) : 21812205. doi: 10.3934/dcds.2017094 
[16] 
Azer Khanmamedov, Sema Simsek. Existence of the global attractor for the plate equation with nonlocal nonlinearity in $ \mathbb{R} ^{n}$. Discrete and Continuous Dynamical Systems  B, 2016, 21 (1) : 151172. doi: 10.3934/dcdsb.2016.21.151 
[17] 
D. Hilhorst, L. A. Peletier, A. I. Rotariu, G. Sivashinsky. Global attractor and inertial sets for a nonlocal KuramotoSivashinsky equation. Discrete and Continuous Dynamical Systems, 2004, 10 (1&2) : 557580. doi: 10.3934/dcds.2004.10.557 
[18] 
Tomás Caraballo, Marta HerreraCobos, Pedro MarínRubio. Global attractor for a nonlocal pLaplacian equation without uniqueness of solution. Discrete and Continuous Dynamical Systems  B, 2017, 22 (5) : 18011816. doi: 10.3934/dcdsb.2017107 
[19] 
Brahim Alouini. Global attractor for a one dimensional weakly damped halfwave equation. Discrete and Continuous Dynamical Systems  S, 2021, 14 (8) : 26552670. doi: 10.3934/dcdss.2020410 
[20] 
Wided Kechiche. Global attractor for a nonlinear Schrödinger equation with a nonlinearity concentrated in one point. Discrete and Continuous Dynamical Systems  S, 2021, 14 (8) : 30273042. doi: 10.3934/dcdss.2021031 
2020 Impact Factor: 1.327
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