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Journal of Nonlinear Mathematical Physics Volume 15, 2008 - Issue sup2: Water Waves
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Original Articles

Blow-Up Phenomena and Decay for the Periodic Degasperis-Procesi Equation with Weak Dissipation

Shuyin Wu Department of Computer Science, Sun Yat-sen University, 510275, Guangzhou, China E-mail: [email protected]
&
Zhaoyang Yin Department of Mathematics, Sun Yat-sen University, 510275, Guangzhou, China E-mail: [email protected]
Pages 28-49 | Received 05 Feb 2008, Published online: 21 Jan 2013

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XUEMEI WEI & ZHAOYANG YIN. (2011) GLOBAL EXISTENCE AND BLOW-UP PHENOMENA FOR THE PERIODIC HUNTER–SAXTON EQUATION WITH WEAK DISSIPATION. Journal of Nonlinear Mathematical Physics 18:1, pages 139-149.
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Articles from other publishers (15)

Xianxian Su & Xiaofang Dong. (2023) Large-Time Behavior of Momentum Density Support of a Family of Weakly Dissipative Peakon Equations with Higher-Order Nonlinearity. Mathematics 11:6, pages 1325.
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Xijun Deng. (2021) New blow-up criterion for the Degasperis–Procesi equation with weak dissipation. Analysis and Mathematical Physics 11:3.
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Xiaofang Dong. (2020) Blow-up issues for the weakly dissipative periodic b-family of equations revisited. Journal of Mathematical Physics 61:12.
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Guobing Fan & Zhifeng Yang. (2020) Optimal control of a viscous generalized θ -type dispersive equation with weak dissipation . Open Mathematics 18:1, pages 1302-1316.
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Jiangbo Zhou, Xiaoqing Yang, Junde Chen & Wenbin Zhang. (2016) On the optimal control problem for the Novikov equation with strong viscosity. Journal of Mathematical Analysis and Applications 433:2, pages 1084-1109.
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Zaiyun Zhang, Jianhua Huang & Mingbao Sun. (2015) Blow-up phenomena for the weakly dissipative Dullin-Gottwald-Holm equation revisited. Journal of Mathematical Physics 56:9.
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Zhengyong Ouyang, Xiangdong Wang & Haiwu Rong. (2015) The Periodic Boundary Value Problem for the Weakly Dissipative -Hunter-Saxton Equation . Advances in Mathematical Physics 2015, pages 1-9.
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Sen Ming, Han Yang & Ls Yong. (2014) Persistence properties of solutions to the dissipative 2-component Degasperis-Procesi system. Boundary Value Problems 2014:1.
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Jingjing Liu & Zhaoyang Yin. (2014) On the Cauchy problem of a weakly dissipative μ-Hunter–Saxton equation. Annales de l'Institut Henri Poincaré C, Analyse non linéaire 31:2, pages 267-279.
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J. Liu. (2014) Global Weak Solutions for the Weakly Dissipative μ-Hunter–Saxton Equation. Ukrainian Mathematical Journal 65:8, pages 1217-1230.
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Jingjing Liu, Yuqi Niu & Dequan Zhang. (2013) On the Cauchy problem for a weakly dissipative μ-Degasperis-Procesi equation. Advances in Difference Equations 2013:1.
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Shouming Zhou, Chunlai Mu & Liangchen Wang. (2013) Well-posedness, blow-up phenomena and global existence for the generalized $b$-equation with higher-order nonlinearities and weak dissipation. Discrete and Continuous Dynamical Systems 34:2, pages 843-867.
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Jonatan Lenells & Marcus Wunsch. (2013) On the weakly dissipative Camassa–Holm, Degasperis–Procesi, and Novikov equations. Journal of Differential Equations 255:3, pages 441-448.
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Martin Kohlmann. (2011) Global existence and blow-up for a weakly dissipative DP equation. Nonlinear Analysis: Theory, Methods & Applications 74:14, pages 4746-4753.
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Weisheng Niu & Shuanghu Zhang. (2011) Blow-up phenomena and global existence for the nonuniform weakly dissipative b-equation. Journal of Mathematical Analysis and Applications 374:1, pages 166-177.
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