- journal article metadata
European Mathematical Society Publishing House
2018-02-09 23:30:02
Revista Matemática Iberoamericana
Rev. Mat. Iberoamericana
RMI
0213-2230
2235-0616
General
10.4171/RMI
http://www.ems-ph.org/doi/10.4171/RMI
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European Mathematical Society Publishing House
Zuerich, Switzerland
© European Mathematical Society (from 2012)
34
2018
1
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
Stratified fluids, rotating fluids, Schochet method, dispersion
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.
Partial differential equations
1
58
10.4171/RMI/980
http://www.ems-ph.org/doi/10.4171/RMI/980
2
6
2018