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题  目:Existence and uniqueness of the global conservative weak solutions to the rotation-Camassa-Holm equation

 

报告人:穆春来 教授

 

单  位:重庆大学数学学院

 

时  间:2019年3月9日 上午11点

 

地  点:数学系一楼108报告厅

 

摘  要: In this talk,we study the Camassa-Holm-type equation, which can be considered as a model  in the shallow water for the long-crested waves propagating near the equator with effect of the Coriolis force due to the Earth's rotation. This quasi-linear equation is nonlocal with higher-order nonlinearities compared to the classical Camassa-Holm equation. We establish the global existence and uniqueness of the energy conservative weak solutions in the energy space $ H^{1} $ to this model equation. This work is joint with Xinyu Tu, Yue Liu.

 

邀请人:杨孝平 老师