TOPOLOGICAL PHASE TRANSITION V: INTERIOR SEPARATIONS AND CYCLONE FORMATION THEORY

Ruikuan Liu (1) , Tian Ma (1) , Shouhong Wang (2) , Jiayan Yang (3)

1 SCU - Sichuan University [Chengdu]
2 Indiana University [Bloomington]
3 Southwest Medical University

We establish in this paper a systematic theory for interior separations of fluid flows, and apply it to the formation of tornados and hurricanes. First, we derive the interior separation equations, which fully characterize when, where and how an interior separation occurs. A U-flow separation theory is then established , and is applied to the formation mechanism of tornados and hurricanes in geophysical fluid dynamics.

Domaines: Formation de Structures et Solitons [nlin.PS]; Physique mathématique [math-ph]

Ruikuan Liu, Tian Ma, Shouhong Wang, Jiayan Yang. TOPOLOGICAL PHASE TRANSITION V: INTERIOR SEPARATIONS AND CYCLONE FORMATION THEORY. 2017. ⟨hal-01673496⟩