Low Froude number limit of the rotating shallow water and Euler equations

Wu, Kung-Chien

doi:10.1090/S0002-9939-2013-11981-7

Low Froude number limit of the rotating shallow water and Euler equations
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Proc. Amer. Math. Soc. 142 (2014), 939-947 Request permission

Abstract:

We perform the mathematical derivation of the rotating lake equations (or anelastic system) from the classical solution of the rotating shallow water and Euler equations when the Froude number tends to zero.

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