Japan Geoscience Union Meeting 2015

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Poster

Symbol M (Multidisciplinary and Interdisciplinary) » M-IS Intersection

[M-IS22] Geophysical fluid dynamics-Transfield approach to geoscience

Wed. May 27, 2015 6:15 PM - 7:30 PM Convention Hall (2F)

Convener:*Keita Iga(Atmosphere and Ocean Research Institute, The University of Tokyo), Kensuke Nakajima(Department of Earth and Planetary Sciences,Flculty of Sciences,Kyushu University), Shigeo Yoshida(Department of Earth and Planetary Sciences, Faculty of Sciences, Kyushu University), Takatoshi Yanagisawa(Institute for Research on Earth Evolution, Japan Agency for Marine-Earth Science and Technology), Hidenori Aiki(Japan Agency for Marine-Earth Science and Technology)

6:15 PM - 7:30 PM

[MIS22-P01] On the solution of the system modelling non-linear stratified rotating fluid

*Andrei GINIATOULLINE1 (1.Los Andes University, Colombia, South America)

Keywords:geophysical fluid dynamics, rotating fluid, stratified fluid in a homogeneous gravity field, dynamics of the Atmosphere and the Ocean, approximate solution by Galerkin method, mathematical qualitative properties of the solutions of PDE

We consider non-linear motion of exponentially stratified fluid which is rotating over the vertical axis.
The model is used to describe the three-dimensional velocity camp of the flows of the Atmosphere and the Ocean.
Analytically, we prove the local existence and the uniqueness of the solution.
For the solution, we also prove the convergence of the numerical algorithm by using the Galerkin method.