Автор |
J -L Lions |
Автор |
R Temam |
Автор |
Shouhong Wang |
Дата выпуска |
1992-09-01 |
dc.description |
As a preliminary step towards understanding the dynamics of the ocean and the impact of the ocean on the global climate system and weather prediction, the authors study the mathematical formulations and attractors of three systems of equations of the ocean, i.e. the primitive equations (the PEs), the primitive equations with vertical viscosity (the PEV<sup>2</sup>s), and the Boussinesq equations (the BEs), of the ocean. These equations are fundamental equations of the ocean. The BEs are obtained from the general equations of a compressible fluid under the Boussinesq approximation, i.e. the density differences are neglected in the system except in the buoyancy term and in the equation of state. The PEs are derived from the BEs under the hydrostatic approximation for the vertical momentum equation. The PEV<sup>2</sup>s are the PEs with the viscosity for the vertical velocity retained. This retention is partially based on the important role played by the viscosity in studying the long time behaviour of the ocean, and the Earth's climate. |
Формат |
application.pdf |
Издатель |
Institute of Physics Publishing |
Название |
On the equations of the large-scale ocean |
Тип |
paper |
DOI |
10.1088/0951-7715/5/5/002 |
Electronic ISSN |
1361-6544 |
Print ISSN |
0951-7715 |
Журнал |
Nonlinearity |
Том |
5 |
Первая страница |
1007 |
Последняя страница |
1053 |
Аффилиация |
J -L Lions; Centre Nat. d'Etudes Spatiales, Coll. de France, Paris, France |
Аффилиация |
R Temam; Centre Nat. d'Etudes Spatiales, Coll. de France, Paris, France |
Аффилиация |
Shouhong Wang; Centre Nat. d'Etudes Spatiales, Coll. de France, Paris, France |
Выпуск |
5 |