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The hypercircle theorem for elastic shells and the accuracy of Novozhilov's simplified equations for general cylindrical shells
Higherorder shallow water equations and the CamassaHolm equation
1.  School of Mathematics and Maxwell Institute for Mathematical Sciences, The King's Buildings, University of Edinburgh, Edinburgh EH9 3JZ, United Kingdom 
[1] 
Stephen C. Anco, Elena Recio, María L. Gandarias, María S. Bruzón. A nonlinear generalization of the CamassaHolm equation with peakon solutions. Conference Publications, 2015, 2015 (special) : 2937. doi: 10.3934/proc.2015.0029 
[2] 
Min Zhu, Shuanghu Zhang. Blowup of solutions to the periodic modified CamassaHolm equation with varying linear dispersion. Discrete & Continuous Dynamical Systems  A, 2016, 36 (12) : 72357256. doi: 10.3934/dcds.2016115 
[3] 
Min Zhu, Ying Wang. Blowup of solutions to the periodic generalized modified CamassaHolm equation with varying linear dispersion. Discrete & Continuous Dynamical Systems  A, 2017, 37 (1) : 645661. doi: 10.3934/dcds.2017027 
[4] 
Delia IonescuKruse. Variational derivation of the CamassaHolm shallow water equation with nonzero vorticity. Discrete & Continuous Dynamical Systems  A, 2007, 19 (3) : 531543. doi: 10.3934/dcds.2007.19.531 
[5] 
Yongsheng Mi, Boling Guo, Chunlai Mu. On an $N$Component CamassaHolm equation with peakons. Discrete & Continuous Dynamical Systems  A, 2017, 37 (3) : 15751601. doi: 10.3934/dcds.2017065 
[6] 
Helge Holden, Xavier Raynaud. Dissipative solutions for the CamassaHolm equation. Discrete & Continuous Dynamical Systems  A, 2009, 24 (4) : 10471112. doi: 10.3934/dcds.2009.24.1047 
[7] 
Zhenhua Guo, Mina Jiang, Zhian Wang, GaoFeng Zheng. Global weak solutions to the CamassaHolm equation. Discrete & Continuous Dynamical Systems  A, 2008, 21 (3) : 883906. doi: 10.3934/dcds.2008.21.883 
[8] 
Milena Stanislavova, Atanas Stefanov. Attractors for the viscous CamassaHolm equation. Discrete & Continuous Dynamical Systems  A, 2007, 18 (1) : 159186. doi: 10.3934/dcds.2007.18.159 
[9] 
Defu Chen, Yongsheng Li, Wei Yan. On the Cauchy problem for a generalized CamassaHolm equation. Discrete & Continuous Dynamical Systems  A, 2015, 35 (3) : 871889. doi: 10.3934/dcds.2015.35.871 
[10] 
Yu Gao, JianGuo Liu. The modified CamassaHolm equation in Lagrangian coordinates. Discrete & Continuous Dynamical Systems  B, 2018, 23 (6) : 25452592. doi: 10.3934/dcdsb.2018067 
[11] 
Li Yang, Zeng Rong, Shouming Zhou, Chunlai Mu. Uniqueness of conservative solutions to the generalized CamassaHolm equation via characteristics. Discrete & Continuous Dynamical Systems  A, 2018, 38 (10) : 52055220. doi: 10.3934/dcds.2018230 
[12] 
Yongsheng Mi, Chunlai Mu. On a threeComponent CamassaHolm equation with peakons. Kinetic & Related Models, 2014, 7 (2) : 305339. doi: 10.3934/krm.2014.7.305 
[13] 
Shouming Zhou, Chunlai Mu. Global conservative and dissipative solutions of the generalized CamassaHolm equation. Discrete & Continuous Dynamical Systems  A, 2013, 33 (4) : 17131739. doi: 10.3934/dcds.2013.33.1713 
[14] 
Shihui Zhu. Existence and uniqueness of global weak solutions of the CamassaHolm equation with a forcing. Discrete & Continuous Dynamical Systems  A, 2016, 36 (9) : 52015221. doi: 10.3934/dcds.2016026 
[15] 
Feng Wang, Fengquan Li, Zhijun Qiao. On the Cauchy problem for a higherorder μCamassaHolm equation. Discrete & Continuous Dynamical Systems  A, 2018, 38 (8) : 41634187. doi: 10.3934/dcds.2018181 
[16] 
Danping Ding, Lixin Tian, Gang Xu. The study on solutions to CamassaHolm equation with weak dissipation. Communications on Pure & Applied Analysis, 2006, 5 (3) : 483492. doi: 10.3934/cpaa.2006.5.483 
[17] 
Priscila Leal da Silva, Igor Leite Freire. An equation unifying both CamassaHolm and Novikov equations. Conference Publications, 2015, 2015 (special) : 304311. doi: 10.3934/proc.2015.0304 
[18] 
Stephen Anco, Daniel Kraus. Hamiltonian structure of peakons as weak solutions for the modified CamassaHolm equation. Discrete & Continuous Dynamical Systems  A, 2018, 38 (9) : 44494465. doi: 10.3934/dcds.2018194 
[19] 
Shaoyong Lai, Qichang Xie, Yunxi Guo, YongHong Wu. The existence of weak solutions for a generalized CamassaHolm equation. Communications on Pure & Applied Analysis, 2011, 10 (1) : 4557. doi: 10.3934/cpaa.2011.10.45 
[20] 
Alberto Bressan, Geng Chen, Qingtian Zhang. Uniqueness of conservative solutions to the CamassaHolm equation via characteristics. Discrete & Continuous Dynamical Systems  A, 2015, 35 (1) : 2542. doi: 10.3934/dcds.2015.35.25 
2018 Impact Factor: 1.008
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