论文标题
旋转浅水系统的奇异性形成
Formation of singularity for the rotating shallow water system
论文作者
论文摘要
在本文中，我们研究了从不同方面旋转浅水系统的一般二维和径向对称解的奇异性的形成。首先，通过研究证明了奇异性的形成，用于二维解决方案的相关力矩。对于径向对称溶液，为初始数据建立了奇异性的形成，并具有紧凑的支持。最后，当溶液是带有分离变量的形式时，分析了旋转浅水系统的径向对称解的奇异性的整体存在或形成。
In this paper, we investigate the formation of singularity for general two dimensional and radially symmetric solutions for rotating shallow water system from different aspects. First, the formation of singularity is proved via the study for the associated moments for two dimensional solutions. For the radial symmetric solutions, the formation of singularity is established for the initial data with compact support. Finally, the global existence or formation of singularity for the radial symmetric solutions of the rotating shallow water system are analyzed in detail when the solutions are of the form with separated variables.
