论文标题

两个组成的Fornberg-Whitham系统的适应性,爆炸和行进波

The well-posedness, blow-up and travelling waves for a two-component Fornberg-Whitham system

论文作者

Xu, Fei, Zhang, Yong, Li, Fengquan

论文摘要

在本文中,研究了两个组件Fornberg-Whitham系统。我们首先研究了经典Sobolev空间中的良好性,并显示了局部时间的先验估计,然后在初始数据上介绍一些足够的条件,从而导致波浪破裂。此外,我们在分析上建立了周期性行进波的存在。

In this paper, the two-component Fornberg-Whitham system is studied. We firstly investigate the well-posedness in classical Sobolev Space and show a blow-up scenario by local-in-time a priori estimates, then we present some sufficient conditions on the initial data to lead to wave breaking. Furthermore, we establish analytically the existence of periodic travelling waves.

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