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• W2956240625 abstract "We prove that for rotating shallow water equations on a surface of revolution with variable Coriolis parameter and vanishing Rossby and Froude numbers, the classical solution satisfies uniform estimates on a fixed time interval with no dependence on the small parameters. Upon a transformation using the solution operator associated with the large operator, the solution converges strongly to a limit for which the governing equation is given. We also characterize the kernel of the large operator and define a projection onto that kernel. With these tools, we are able to show that the time-averages of the solution are close to longitude-independent zonal flows and height field." @default.
• W2956240625 created "2019-07-23" @default.
• W2956240625 creator A5054550809 @default.
• W2956240625 creator A5065067681 @default.
• W2956240625 date "2019-07-16" @default.
• W2956240625 modified "2023-09-27" @default.
• W2956240625 title "Shallow water equations on a fast rotating surface" @default.
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• W2956240625 hasPublicationYear "2019" @default.
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