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Analytical properties for the fifth order Camassa-Holm (FOCH) model
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  • Mingxuan Zhu,
  • Lu Cao,
  • Zaihong Jiang,
  • Zhijun Qiao
Mingxuan Zhu
Qufu Normal University

Corresponding Author:[email protected]

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Lu Cao
Zhejiang Normal University
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Zaihong Jiang
Zhejiang Normal University
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Zhijun Qiao
University of Texas Rio Grande Valley - Edinburg Campus
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This paper devotes to present analysis work on the fifth order Camassa-Holm (FOCH) model recently proposed in [28]. Firstly, we establish the local and global existence of the solution to the FOCH model. Secondly, the infinite propagation speed is obtained, in other words, when the initial data u0(x) has a compact support, the corresponding solution u(x, t) does not have a compact x-support any longer in its lifespan. Finally, we discuss the long time behavior of the support of momentum density with a compactly supported initial data.
2021Published in Journal of Nonlinear Mathematical Physics volume 28 issue 3 on pages 321. 10.2991/jnmp.k.210519.001