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Long-Time Existence of Smooth Solutions for the Rapidly Rotating Shallow-Water and Euler Equations

โœ Scribed by Cheng, Bin; Tadmor, Eitan


Book ID
118197685
Publisher
Society for Industrial and Applied Mathematics
Year
2008
Tongue
English
Weight
227 KB
Volume
39
Category
Article
ISSN
0036-1410

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A pseudo-spectral algorithm is presented for the solution of the rotating Green-Naghdi shallow water equations in two spatial dimensions. The equations are first written in vorticity-divergence form, in order to exploit the fact that time-derivatives then appear implicitly in the divergence equation