Highly rotating fluids with vertical stratification for periodic data and vanishing vertical viscosity

  • Stefano Scrobogna

    BCAM - Basque Center for Applied Mathematics, Bilbao, Spain and Université de Bordeaux, France
Highly rotating fluids with vertical stratification for periodic data and vanishing vertical viscosity cover
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Abstract

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.

Cite this article

Stefano Scrobogna, Highly rotating fluids with vertical stratification for periodic data and vanishing vertical viscosity. Rev. Mat. Iberoam. 34 (2018), no. 1, pp. 1–58

DOI 10.4171/RMI/980