TITLE:
Vortical and Self-Similar Flows of 2D Inviscid Rotating Shallow Water System
AUTHORS:
Pengfei Zhou
KEYWORDS:
Rotating Shallow Water System, Self-Similar Flows, Time Periodic, Blow up
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.14 No.6,
June
18,
2026
ABSTRACT: Rotating shallow water system is an important fluid model that describes the fluid behavior of large scale geophysical fluid motion under the action of Coriolis force. In this paper, we construct a kind of vortical and self-similar solution for 2D inviscid rotating shallow water system and describe its time periodic and blow up phenomena via providing different parameter values.