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• W3100308009 abstract "In this chapter we investigate the derivation of some long wave models on a deformed sphere. We propose first a suitable for our purposes formulation of the full Euler equations on a sphere. Then, by applying the depth-averaging procedure we derive first a new fully nonlinear weakly dispersive base model. After this step we show how to obtain some weakly nonlinear models on the sphere in the so-called Boussinesq regime. We have to say that the proposed base model contains an additional velocity variable which has to be specified by a closure relation. Physically, it represents a dispersive correction to the velocity vector. So, the main outcome of this chapter should be rather considered as a whole family of long wave models." @default.
• W3100308009 created "2020-11-23" @default.
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• W3100308009 date "2020-01-01" @default.
• W3100308009 modified "2023-09-27" @default.
• W3100308009 title "Model Derivation on a Globally Spherical Geometry" @default.
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• W3100308009 doi "https://doi.org/10.1007/978-3-030-46267-3_3" @default.
• W3100308009 hasPublicationYear "2020" @default.
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