Revista Matemática Iberoamericana
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Published online: 2018-02-06
Highly rotating fluids with vertical stratification for periodic data and vanishing vertical viscosityStefano Scrobogna (1) BCAM - Basque Center for Applied Mathematics, Bilbao, Spain and Université de Bordeaux, France
We prove that the three-dimensional, periodic primitive equations with zero vertical diffusivity are globally well posed if the Rossby and Froude number are sufficiently small. The initial data is considered to be of zero horizontal average and the space domain may be resonant. No smallness assumption is assumed on the initial data.
Keywords: Stratified fluids, rotating fluids, Schochet method, dispersion
Scrobogna Stefano: Highly rotating fluids with vertical stratification for periodic data and vanishing vertical viscosity. Rev. Mat. Iberoam. 34 (2018), 1-58. doi: 10.4171/RMI/980