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Cheng, B. and Tadmor, E. (2008) Long-time Existence of Smooth Solutions for the Rapidly Rotating Shallow-Water and Euler Equations. SIAM Journal on Mathematical Analysis, 39, 1668-1685.
https://doi.org/10.1137/070693643

has been cited by the following article:

• 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.